Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 50001/3582141. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (a a)))) 3. ==[ eta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 50002/3582846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y))) b) 3. ==[ beta ]==> ((((a a) a)(^y.y)) b) 4. ==[ alpha ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 50003/3582870. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50004/3582951. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50005/3583185. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((a a) a))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50006/3583287. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 50007/3583455. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50008/3583575. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(b y))) 3. ==[ eta ]==> (((^x.x)(a (a a))) b) 4. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 50009/3583680. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50010/3583806. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50011/3583818. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50012/3584331. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (a (^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 50013/3584751. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(a b)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 50014/3585138. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z.z) a)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((a ((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.((a (^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> (^x.((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1))))) 9. ==[ beta ]==> (^x.((a (^y.y))(a ((^x1.x1)(^y1.y1))))) 10. ==[ alpha ]==> (^x.((a (^y.y))(a ((^z.z)(^x1.x1))))) 11. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 12. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 50015/3585213. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 50016/3585345. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)((^x1.x1)(^y1.y1)))((^z.a)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50017/3585600. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(z b))) 3. ==[ beta ]==> ((^y.y)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 50018/3585942. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((a a) a))) REDUCED to normal form. ------ 50019/3586020. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.a))((^z.(z z))(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.a))((^z.(z z))(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.a)(^y.a))((^z.(z z))(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.(z z))(^x1.a)))(^y1.y1)) 7. ==[ beta ]==> ((a ((^z.(z z))(^x1.a)))(^y1.y1)) 8. ==[ alpha ]==> ((a ((^x.(x x))(^y.a)))(^z.z)) 9. ==[ beta ]==> ((a ((^y.a)(^y.a)))(^z.z)) 10. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(^z.z)) 11. ==[ beta ]==> ((a a)(^z.z)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 50020/3586392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50021/3586536. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50022/3586671. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50023/3586776. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(a (a a)))) 3. ==[ eta ]==> (b ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 50024/3586779. ------ 1. ==[ start ]==> ((a (b a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (a a)))) REDUCED to normal form. ------ 50025/3587148. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 50026/3587220. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 50027/3587229. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 50028/3587325. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50029/3587346. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50030/3587400. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50031/3587427. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a a))) REDUCED to normal form. ------ 50032/3587454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 50033/3587481. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 50034/3587511. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 50035/3587538. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 50036/3587565. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a b))) 3. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 50037/3587592. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 50038/3587646. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50039/3587682. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.y))) REDUCED to normal form. ------ 50040/3587709. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 50041/3587736. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 50042/3587772. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 50043/3587790. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 50044/3587826. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 50045/3587871. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 50046/3587952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) a)) REDUCED to normal form. ------ 50047/3587979. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 50048/3588015. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 50049/3588042. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 50050/3588096. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 50051/3588186. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 50052/3588213. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (b a))) 3. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 50053/3588240. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 50054/3588249. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 50055/3588276. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 50056/3588294. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 50057/3588321. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 50058/3588447. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 50059/3588456. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50060/3588546. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.a))) REDUCED to normal form. ------ 50061/3588573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (a (((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 50062/3588600. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 50063/3588654. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.b))) REDUCED to normal form. ------ 50064/3588681. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 50065/3588771. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 50066/3588798. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 50067/3588852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 50068/3588915. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a b))) 3. ==[ beta ]==> ((^y.y)(c (a b))) 4. ==[ alpha ]==> ((^x.x)(c (a b))) 5. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 50069/3588969. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (a (a ((a a)(^z.z)))) 6. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 50070/3589005. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) b)) 5. ==[ beta ]==> (b ((^y.(a a)) b)) 6. ==[ alpha ]==> (b ((^x.(a a)) b)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 50071/3589032. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b) c)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 50072/3589050. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 50073/3589077. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 50074/3589131. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 9. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 50075/3589230. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 50076/3589257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 50077/3589311. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 50078/3589338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 13. ==[ beta ]==> ((a (^x.x))(^z.z)) 14. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 50079/3589365. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 50080/3589383. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 50081/3589392. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 50082/3589590. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c ((a a) a))) 3. ==[ beta ]==> ((a b)(c ((a a) a))) REDUCED to normal form. ------ 50083/3589617. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 50084/3589653. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 50085/3589671. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 50086/3589680. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 50087/3589707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) c)) 5. ==[ beta ]==> ((^y.a)((^z.a) c)) 6. ==[ alpha ]==> ((^x.a)((^y.a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50088/3589752. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 50089/3589779. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 50090/3589797. ------ 1. ==[ start ]==> (((a a)(a b))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.a))) REDUCED to normal form. ------ 50091/3589824. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.b))) REDUCED to normal form. ------ 50092/3589851. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 50093/3589878. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 50094/3589932. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 50095/3589950. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 50096/3589959. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50097/3589986. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 50098/3590211. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((a a) a))) 5. ==[ beta ]==> ((a a)(b ((a a) a))) REDUCED to normal form. ------ 50099/3590238. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 50100/3590247. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 50101/3590292. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 13. ==[ beta ]==> ((^y.y)(a (^z.z))) 14. ==[ alpha ]==> ((^x.x)(a (^y.y))) 15. ==[ beta ]==> (a (^y.y)) 16. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 50102/3590301. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50103/3590373. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 50104/3590472. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 50105/3590499. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a ((a a) a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x) a))) 9. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 50106/3590526. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 50107/3590553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 50108/3590580. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 50109/3590598. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 50110/3590607. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 50111/3590634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 50112/3590661. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 50113/3590697. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 5. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 50114/3590832. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 50115/3590841. ------ 1. ==[ start ]==> (((a b) c)((^b.a) d)) 2. ==[ alpha ]==> (((a b) c)((^x.a) d)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 50116/3590949. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 50117/3590976. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 50118/3591030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50119/3591057. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 50120/3591084. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) b)) REDUCED to normal form. ------ 50121/3591174. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 50122/3591282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(z z)))) 7. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 9. ==[ beta ]==> (b (^y.(y y))) 10. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 50123/3591309. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 50124/3591336. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(a a))) 5. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 50125/3591363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 50126/3591390. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 50127/3591417. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 50128/3591507. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b ((^z.z) a))) 5. ==[ beta ]==> (b (b ((^z.z) a))) 6. ==[ alpha ]==> (b (b ((^x.x) a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 50129/3591588. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 50130/3591651. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 50131/3591696. ------ 1. ==[ start ]==> (((^a.a)(b a))(b c)) 2. ==[ alpha ]==> (((^x.x)(b a))(b c)) 3. ==[ beta ]==> ((b a)(b c)) REDUCED to normal form. ------ 50132/3591759. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 50133/3591777. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(b (a (^x.x)))) REDUCED to normal form. ------ 50134/3591786. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a) c)) REDUCED to normal form. ------ 50135/3591840. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50136/3591858. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> (b ((a a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 50137/3591867. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.(x x))) c) REDUCED to normal form. ------ 50138/3591894. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 50139/3591921. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 50140/3591966. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 50141/3591984. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 50142/3592011. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 50143/3592038. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 50144/3592065. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 50145/3592092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 50146/3592119. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 50147/3593850. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50148/3596055. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(z z)))) 3. ==[ eta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 50149/3596940. ------ 1. ==[ start ]==> (((a a) b)(^c.(b a))) 2. ==[ alpha ]==> (((a a) b)(^x.(b a))) REDUCED to normal form. ------ 50150/3596958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50151/3597036. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 50152/3597228. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 50153/3597507. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 50154/3598254. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50155/3598494. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50156/3598497. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50157/3598674. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(^z.b)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 50158/3598938. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 50159/3599268. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.(^y1.y1)))(((^z.z) a)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 50160/3599523. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 50161/3599532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z b))) REDUCED to normal form. ------ 50162/3600699. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.(y y)))) 3. ==[ eta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 50163/3600702. ------ 1. ==[ start ]==> ((a (b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 50164/3601008. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 50165/3601152. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 50166/3601248. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50167/3601269. ------ 1. ==[ start ]==> (((a a)(b a))(^c.b)) 2. ==[ alpha ]==> (((a a)(b a))(^x.b)) REDUCED to normal form. ------ 50168/3601323. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 50169/3601350. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 50170/3601404. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 50171/3601452. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (a (((a a) a)(^y.y))) 6. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 50172/3601479. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 50173/3601506. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 50174/3601533. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 50175/3601560. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 50176/3601587. ------ 1. ==[ start ]==> (((a a) b)((a a)(b a))) REDUCED to normal form. ------ 50177/3601605. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50178/3601686. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 50179/3601704. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 50180/3601731. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 50181/3601767. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 50182/3601794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 50183/3601848. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 50184/3601875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50185/3602037. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50186/3602064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 50187/3602100. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 50188/3602127. ------ 1. ==[ start ]==> (((a (a a)) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 50189/3602154. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 50190/3602181. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 50191/3602208. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 50192/3602235. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a b) a)) REDUCED to normal form. ------ 50193/3602343. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((b b)(a (a b))) REDUCED to normal form. ------ 50194/3602388. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50195/3602469. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50196/3602550. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50197/3602604. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 50198/3602676. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 50199/3602703. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) b)) REDUCED to normal form. ------ 50200/3602730. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((a b) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b) c)) 5. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 50201/3602847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50202/3602901. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 50203/3602937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 50204/3602964. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 50205/3603018. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 50206/3603045. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 50207/3603072. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 50208/3603099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50209/3603126. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 50210/3603144. ------ 1. ==[ start ]==> ((a (^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 50211/3603162. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 50212/3603189. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 50213/3603216. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 50214/3603243. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a (a a)) a)(^y.(y y))) 8. ==[ alpha ]==> (((a (a a)) a)(^x.(x x))) REDUCED to normal form. ------ 50215/3603270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 50216/3603324. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 50217/3603333. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 50218/3603414. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 50219/3603495. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50220/3603522. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 50221/3603531. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((a a) a))) REDUCED to normal form. ------ 50222/3603549. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50223/3603585. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 50224/3603612. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 50225/3603639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50226/3603666. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 50227/3603693. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50228/3603810. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 50229/3603837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a (((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 50230/3603864. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 50231/3603891. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 50232/3603918. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 50233/3603927. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50234/3603954. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50235/3604008. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 50236/3604089. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 50237/3604152. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((a a) a))) REDUCED to normal form. ------ 50238/3604170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50239/3604179. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (a b))) REDUCED to normal form. ------ 50240/3604233. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 50241/3604260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (((a (a a))((^y.y) a))((a (a a))((^y.y) a))) 8. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))((^y.y) a))) 9. ==[ beta ]==> (((a (a a)) a)((a (a a))((^y.y) a))) 10. ==[ alpha ]==> (((a (a a)) a)((a (a a))((^x.x) a))) 11. ==[ beta ]==> (((a (a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 50242/3604287. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 50243/3604305. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 50244/3604314. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 50245/3604341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 50246/3604377. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 50247/3604404. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 50248/3604431. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.a))) REDUCED to normal form. ------ 50249/3604458. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 50250/3604485. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 50251/3604539. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 50252/3604566. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 50253/3604629. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50254/3604773. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b) c)(a ((^x.x) a))) 5. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 50255/3604800. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 50256/3604827. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 50257/3604872. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50258/3604926. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 50259/3605007. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50260/3605133. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 50261/3605160. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (a b))((^y.(y y)) b)) 4. ==[ alpha ]==> ((a (a b))((^x.(x x)) b)) 5. ==[ beta ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 50262/3605187. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a) c)) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 50263/3605268. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 50264/3605295. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 50265/3605322. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 50266/3605349. ------ 1. ==[ start ]==> ((a (b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 50267/3605439. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50268/3605520. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 50269/3605628. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 50270/3605655. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 50271/3605691. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (a a))) REDUCED to normal form. ------ 50272/3605709. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 50273/3605718. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 50274/3605772. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 50275/3605790. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 50276/3605799. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 50277/3605826. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c a)) 3. ==[ beta ]==> (((a a)(^y.a))(c a)) 4. ==[ alpha ]==> (((a a)(^x.a))(c a)) REDUCED to normal form. ------ 50278/3605853. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 50279/3605898. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 50280/3605916. ------ 1. ==[ start ]==> (((a a)(b a))((a a) b)) REDUCED to normal form. ------ 50281/3605943. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 50282/3605970. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) b)) 5. ==[ beta ]==> ((a (a a))((^y.y) b)) 6. ==[ alpha ]==> ((a (a a))((^x.x) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 50283/3605997. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.x))) REDUCED to normal form. ------ 50284/3606024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a) a)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 50285/3606051. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 50286/3606077. ------ 1. ==[ start ]==> (^a.((a b)(a (a a)))) 2. ==[ alpha ]==> (^x.((x b)(x (x x)))) REDUCED to normal form. ------ 50287/3606078. ------ 1. ==[ start ]==> (a ((a b)(a (a a)))) REDUCED to normal form. ------ 50288/3610728. ------ 1. ==[ start ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 50289/3610734. ------ 1. ==[ start ]==> ((^a.a)((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 50290/3610761. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((^y.y)(^z.z)))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 50291/3610788. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 50292/3610869. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^z.z))((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 50293/3610917. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 50294/3610986. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (^x.((a a)(^z.a))) 6. ==[ alpha ]==> (^x.((a a)(^y.a))) REDUCED to normal form. ------ 50295/3611187. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 a))) REDUCED to normal form. ------ 50296/3611229. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 50297/3611679. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50298/3612888. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 50299/3613482. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.z))) REDUCED to normal form. ------ 50300/3613833. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 50301/3614292. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 50302/3614436. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 50303/3614886. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 50304/3615129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 50305/3615198. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50306/3615246. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 50307/3615327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.b)) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 50308/3615354. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 50309/3615381. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 50310/3615393. ------ 1. ==[ start ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 50311/3615420. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 50312/3615447. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 50313/3615501. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 50314/3615528. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 50315/3615573. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 50316/3615591. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 50317/3615618. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 50318/3615645. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 50319/3615681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 50320/3615726. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 50321/3615753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 50322/3615762. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b)(a b))) REDUCED to normal form. ------ 50323/3615789. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 50324/3615816. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 50325/3615843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 50326/3615888. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 50327/3616059. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 50328/3616185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 50329/3616230. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 50330/3616257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 10. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 50331/3616284. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 50332/3616311. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a b))) REDUCED to normal form. ------ 50333/3616338. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 50334/3616428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 50335/3616437. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 50336/3616464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 50337/3616482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 50338/3616491. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 50339/3616509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50340/3616518. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 50341/3616545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 50342/3616563. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 50343/3616572. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 50344/3616599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50345/3616941. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) c)) 3. ==[ beta ]==> (((a a) a)((^y.b) c)) 4. ==[ alpha ]==> (((a a) a)((^x.b) c)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 50346/3617085. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 50347/3617274. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50348/3617292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 50349/3617373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) b)) IRREDUCIBLE: cycle. ------ 50350/3617436. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 50351/3617463. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 50352/3617490. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 50353/3617544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 50354/3617562. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) a)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 50355/3617688. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 50356/3617715. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 50357/3617742. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a b))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 50358/3617841. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50359/3617886. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50360/3617913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 50361/3617967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) a)) 5. ==[ beta ]==> ((^y.y)((a b) a)) 6. ==[ alpha ]==> ((^x.x)((a b) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 50362/3618057. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b) b)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 50363/3618084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 50364/3618111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 50365/3618138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 50366/3618273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 50367/3618300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 50368/3618489. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)((a a) a))) 3. ==[ beta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 50369/3618723. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 50370/3618732. ------ 1. ==[ start ]==> (((a b) c)(d (^b.a))) 2. ==[ alpha ]==> (((a b) c)(d (^x.a))) REDUCED to normal form. ------ 50371/3618759. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(x x)))) REDUCED to normal form. ------ 50372/3618786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 50373/3618831. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50374/3618840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 50375/3618867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 50376/3618885. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 50377/3618921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50378/3618948. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 50379/3618966. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50380/3618975. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 50381/3619002. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50382/3619029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 50383/3619065. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 50384/3619092. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 50385/3619119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(a a))) 3. ==[ beta ]==> ((a (a b))((a (a a))(a a))) REDUCED to normal form. ------ 50386/3619146. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 50387/3619173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 9. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 10. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 11. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 50388/3619200. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 50389/3619398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) c)) 5. ==[ beta ]==> (b ((a (^z.z)) c)) 6. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 50390/3619479. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50391/3619542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(y y)))) REDUCED to normal form. ------ 50392/3619587. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 50393/3619614. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 50394/3619650. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 50395/3619668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y)) b)) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 50396/3619677. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 50397/3619731. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 50398/3619749. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50399/3619758. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 50400/3619785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 50401/3619812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 50402/3619857. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 50403/3619875. ------ 1. ==[ start ]==> (((a a)(b a))(b (a a))) REDUCED to normal form. ------ 50404/3619902. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 50405/3619929. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 50406/3619956. ------ 1. ==[ start ]==> (((a (a a))(a b))(b a)) REDUCED to normal form. ------ 50407/3619983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(a b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a b)) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 50408/3620010. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 50409/3620037. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 50410/3621759. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50411/3624696. ------ 1. ==[ start ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 50412/3624720. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50413/3624801. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50414/3625452. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) a)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 50415/3625530. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50416/3625956. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 50417/3626088. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50418/3626421. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50419/3626424. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 50420/3626601. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((^y.a)((a a) a)) b) 4. ==[ alpha ]==> (((^x.a)((a a) a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 50421/3626883. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 50422/3626988. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (^y.(((a (a a))(a (a a)))((a (a a))(a (a a))))) 4. ==[ alpha ]==> (^x.(((a (a a))(a (a a)))((a (a a))(a (a a))))) REDUCED to normal form. ------ 50423/3627090. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 50424/3627195. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(a (a a)))((^z.(z z))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 5. ==[ beta ]==> (((^y.(y y))(a (a a)))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a (a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50425/3627657. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 50426/3627810. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 50427/3627819. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 50428/3627870. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 9. ==[ beta ]==> ((^y.y)(^y1.y1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50429/3628413. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50430/3628548. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50431/3628626. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ eta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50432/3629106. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.c)) REDUCED to normal form. ------ 50433/3629223. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 50434/3629277. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50435/3629304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a a))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 50436/3629331. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 50437/3629358. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 50438/3629388. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 50439/3629415. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 50440/3629442. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 50441/3629469. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 50442/3629523. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50443/3629550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 50444/3629586. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 50445/3629613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 50446/3629649. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 50447/3629667. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 50448/3629676. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 50449/3629748. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.b))) REDUCED to normal form. ------ 50450/3629775. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 50451/3629802. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 50452/3629856. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a) a)) 3. ==[ beta ]==> ((a (^y.y))((b a) a)) 4. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 50453/3629919. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 50454/3629946. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 50455/3630090. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 50456/3630117. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 50457/3630171. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 50458/3630180. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 50459/3630198. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 50460/3630333. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50461/3630360. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 50462/3630423. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 50463/3630450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 5. ==[ beta ]==> (a ((a b)(^y.a))) 6. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 50464/3630477. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 50465/3630504. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 50466/3630531. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 50467/3630558. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 50468/3630585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 50469/3630621. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 50470/3630675. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 50471/3630702. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 50472/3630756. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 50473/3630846. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (a (b ((^z.z)(a a)))) 6. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 50474/3630882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (b ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50475/3630909. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 50476/3630927. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 50477/3630954. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 50478/3630963. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 50479/3631008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (a a))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 10. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 50480/3631089. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 50481/3631134. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 50482/3631161. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 50483/3631215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 50484/3631242. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 10. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 50485/3631260. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 50486/3631269. ------ 1. ==[ start ]==> ((a (a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 50487/3631548. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 50488/3631557. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 50489/3631584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b) b)) 5. ==[ beta ]==> ((^y.a)((^z.b) b)) 6. ==[ alpha ]==> ((^x.a)((^y.b) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50490/3631629. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50491/3631656. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50492/3631728. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.b))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.b))) REDUCED to normal form. ------ 50493/3631755. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 50494/3631782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(a a))) 7. ==[ beta ]==> (a ((^y.b)(a a))) 8. ==[ alpha ]==> (a ((^x.b)(a a))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 50495/3631827. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 50496/3631836. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 50497/3631863. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50498/3632115. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 50499/3632169. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a a))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 11. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 50500/3632178. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 50501/3632205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z)) c)) 7. ==[ beta ]==> (((^y.(^z.z)) c)((^y.(^z.z)) c)) 8. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 11. ==[ beta ]==> ((^y.(^z.z)) c) 12. ==[ alpha ]==> ((^x.(^y.y)) c) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50502/3632250. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 50503/3632322. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 50504/3632349. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 50505/3632376. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 50506/3632403. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 50507/3632430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 50508/3632457. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 50509/3632475. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 50510/3632484. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 50511/3632538. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 50512/3632709. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 50513/3632718. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(x x)) c)) 3. ==[ beta ]==> (((a b) c)(c c)) REDUCED to normal form. ------ 50514/3632790. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 50515/3632826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 50516/3632853. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 50517/3632907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50518/3632934. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 50519/3632961. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 50520/3632988. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 50521/3633051. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 50522/3633078. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 50523/3633186. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 50524/3633213. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 50525/3633240. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 50526/3633267. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 50527/3633294. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 50528/3633384. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (a (^z.z)))) 5. ==[ beta ]==> (b (c (a (^z.z)))) 6. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 50529/3633465. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (b (((^z.z) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 50530/3633573. ------ 1. ==[ start ]==> (((^a.a)(b a))(c b)) 2. ==[ alpha ]==> (((^x.x)(b a))(c b)) 3. ==[ beta ]==> ((b a)(c b)) REDUCED to normal form. ------ 50531/3633600. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 50532/3633636. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 50533/3633654. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (a a))) 3. ==[ beta ]==> (((a b)(a b))(c (a a))) REDUCED to normal form. ------ 50534/3633663. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 50535/3633717. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 50536/3633735. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> (b ((a (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 50537/3633744. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 50538/3633771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 50539/3633798. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 50540/3633861. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 50541/3633888. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 50542/3633915. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.y))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 50543/3633942. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 50544/3633969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 50545/3633996. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 50546/3634023. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 50547/3638508. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50548/3638691. ------ 1. ==[ start ]==> (((a b)(a (a a))) c) REDUCED to normal form. ------ 50549/3638916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 50550/3638967. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50551/3639039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 50552/3639465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 50553/3640221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 50554/3640425. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50555/3640605. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)(^z.a)) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a)) b) 5. ==[ beta ]==> ((a (^y.a)) b) 6. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 50556/3640887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 50557/3640896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 50558/3641199. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.(z z)))((a (a a))(^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(^y.(y y)))((a (a a))(^z.(z z))))) 5. ==[ beta ]==> (((a (a a))(^y.(y y)))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 50559/3641292. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z))) a) 4. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) a) 5. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) a) 6. ==[ beta ]==> ((^y.y) a) 7. ==[ alpha ]==> ((^x.x) a) 8. ==[ beta ]==> a REDUCED to normal form. ------ 50560/3641823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 50561/3641874. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((((^z.z)(^x1.x1)) b)(((^z.z)(^x1.x1)) b))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y) b)(((^z.z)(^x1.x1)) b))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x) b)(((^y.y)(^z.z)) b))(^x1.x1)) 7. ==[ beta ]==> ((b (((^y.y)(^z.z)) b))(^x1.x1)) 8. ==[ alpha ]==> ((b (((^x.x)(^y.y)) b))(^z.z)) 9. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 10. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 11. ==[ beta ]==> ((b b)(^y.y)) 12. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 50562/3642291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 50563/3642630. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.a))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 50564/3642867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 50565/3643056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50566/3643110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 50567/3643179. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50568/3643182. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 50569/3643281. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 50570/3643362. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 50571/3643410. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(a (a a)))) 3. ==[ beta ]==> (a ((a b)(a (a a)))) REDUCED to normal form. ------ 50572/3643437. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 50573/3643464. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 50574/3643491. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 50575/3643518. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 50576/3643545. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 50577/3643572. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(b a))) REDUCED to normal form. ------ 50578/3643590. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 50579/3643644. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 50580/3643662. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 50581/3643689. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 50582/3643716. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 50583/3643725. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 50584/3643752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50585/3643806. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50586/3643833. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50587/3643905. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 50588/3644022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50589/3644076. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 50590/3644112. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 50591/3644139. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (b a))) REDUCED to normal form. ------ 50592/3644166. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 50593/3644193. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 50594/3644301. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))((a a) a))) 3. ==[ beta ]==> ((b b)((a (a a))((a a) a))) REDUCED to normal form. ------ 50595/3644346. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50596/3644373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 50597/3644481. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((^y.b)((^z.z) a)) 8. ==[ alpha ]==> ((^x.b)((^y.y) a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 50598/3644562. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 50599/3644661. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 50600/3644688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 50601/3644715. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b) c)) REDUCED to normal form. ------ 50602/3644805. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 50603/3644859. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 50604/3644895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 50605/3644922. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 50606/3644976. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 50607/3645003. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 50608/3645030. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 50609/3645057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50610/3645084. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 50611/3645102. ------ 1. ==[ start ]==> ((a (^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 50612/3645147. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 50613/3645174. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 50614/3645201. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 50615/3645228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 50616/3645255. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 50617/3645282. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a (a b))(a (^y.a))) 4. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 50618/3645291. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 50619/3645372. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.x1))) IRREDUCIBLE: cycle. ------ 50620/3645453. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50621/3645480. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 50622/3645507. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50623/3645543. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 50624/3645561. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 50625/3645570. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 50626/3645597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(a a))) 5. ==[ beta ]==> ((^y.a)((a b)(a a))) 6. ==[ alpha ]==> ((^x.a)((a b)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50627/3645624. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 50628/3645651. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 50629/3645795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.y))) 7. ==[ beta ]==> (a ((a b)(^y.y))) 8. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 50630/3645822. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 50631/3645849. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a a))(^y.a)) 6. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 50632/3645876. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 50633/3645885. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50634/3645912. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50635/3645966. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 50636/3646047. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50637/3646101. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 50638/3646110. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 50639/3646128. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50640/3646137. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((a a) a))) REDUCED to normal form. ------ 50641/3646191. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 50642/3646218. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(a (^x1.x1)))(((^y.y)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 9. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 10. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 11. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 13. ==[ beta ]==> ((a (^x.x))((^z.z)(a (^x1.x1)))) 14. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 15. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 16. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 50643/3646245. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 50644/3646272. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 50645/3646299. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 50646/3646362. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 50647/3646389. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 50648/3646416. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 50649/3646443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 50650/3646470. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 50651/3646497. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 50652/3646524. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 50653/3646551. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 50654/3646587. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 50655/3646731. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 50656/3646758. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 50657/3646785. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 50658/3646803. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 50659/3646884. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 50660/3646920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c d)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c d)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c d)) 5. ==[ beta ]==> ((^y.(^z.z))(c d)) 6. ==[ alpha ]==> ((^x.(^y.y))(c d)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50661/3646965. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50662/3647118. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 50663/3647145. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a (a a))((a a) a))(b b)) REDUCED to normal form. ------ 50664/3647172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) c)) 7. ==[ beta ]==> ((^y.y)((^z.a) c)) 8. ==[ alpha ]==> ((^x.x)((^y.a) c)) 9. ==[ beta ]==> ((^y.a) c) 10. ==[ alpha ]==> ((^x.a) c) 11. ==[ beta ]==> a REDUCED to normal form. ------ 50665/3647253. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 50666/3647280. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 50667/3647307. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 50668/3647397. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50669/3647541. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 50670/3647586. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a a))) 3. ==[ beta ]==> ((b a)((^y.a)(a a))) 4. ==[ alpha ]==> ((b a)((^x.a)(a a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 50671/3647613. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50672/3647667. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 50673/3647676. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (a a))) REDUCED to normal form. ------ 50674/3647730. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 50675/3647748. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 50676/3647757. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 50677/3647784. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 50678/3647856. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 50679/3647874. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 50680/3647901. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a) b)) REDUCED to normal form. ------ 50681/3647928. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 50682/3647955. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x) b)) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 50683/3647982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.y))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 50684/3648009. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 50685/3648036. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) a)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 50686/3648062. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))((^z.z) x))) 3. ==[ beta ]==> (^x.((x x)((^z.z) x))) 4. ==[ alpha ]==> (^x.((x x)((^y.y) x))) 5. ==[ beta ]==> (^x.((x x) x)) REDUCED to normal form. ------ 50687/3648063. ------ 1. ==[ start ]==> (a (((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (a ((a a)((^y.y) a))) 4. ==[ alpha ]==> (a ((a a)((^x.x) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 50688/3652740. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a)) a) 3. ==[ beta ]==> (((a a)((^y.y) a)) a) 4. ==[ alpha ]==> (((a a)((^x.x) a)) a) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 50689/3652746. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 50690/3652773. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 50691/3652800. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 50692/3652881. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^z.z) a)((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 50693/3652956. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 50694/3652998. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 50695/3653226. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 50696/3653241. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 50697/3653565. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50698/3653691. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50699/3654252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50700/3654927. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 50701/3655323. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 7. ==[ beta ]==> (^y.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 50702/3656196. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.z))) REDUCED to normal form. ------ 50703/3656322. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50704/3656331. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 50705/3656475. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 50706/3656583. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a b) a)(^y.(a (a a)))) 4. ==[ alpha ]==> (((a b) a)(^x.(a (a a)))) REDUCED to normal form. ------ 50707/3656661. ------ 1. ==[ start ]==> ((^a.(b a))(c c)) 2. ==[ alpha ]==> ((^x.(b x))(c c)) 3. ==[ eta ]==> (b (c c)) REDUCED to normal form. ------ 50708/3657006. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 50709/3657087. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 50710/3657168. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 50711/3657210. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50712/3657231. ------ 1. ==[ start ]==> (((a a)(b a))(^a.c)) 2. ==[ alpha ]==> (((a a)(b a))(^x.c)) REDUCED to normal form. ------ 50713/3657285. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 50714/3657312. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a a))) REDUCED to normal form. ------ 50715/3657366. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 50716/3657393. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 50717/3657420. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.z)) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.z)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 50718/3657432. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 50719/3657459. ------ 1. ==[ start ]==> ((a (a a))((a b)(a (a a)))) REDUCED to normal form. ------ 50720/3657486. ------ 1. ==[ start ]==> ((a b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 50721/3657540. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 50722/3657567. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 50723/3657585. ------ 1. ==[ start ]==> (((a a) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 50724/3657639. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 50725/3657657. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 50726/3657684. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 50727/3657720. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50728/3657765. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 50729/3657801. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 50730/3657828. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(a b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 50731/3657846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (a (a (^y.(a a)))) 8. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 50732/3657855. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 50733/3657882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 50734/3657909. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 50735/3657927. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a) a)) REDUCED to normal form. ------ 50736/3658017. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 50737/3658098. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a b)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 50738/3658125. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 50739/3658251. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 50740/3658269. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b) a)) REDUCED to normal form. ------ 50741/3658296. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 50742/3658323. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 10. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 50743/3658350. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 50744/3658377. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 50745/3658467. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 50746/3658476. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 50747/3658503. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 50748/3658521. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 50749/3658530. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 50750/3658548. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 50751/3658584. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 50752/3658611. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 50753/3658638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 50754/3658935. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 50755/3658980. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 50756/3659007. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> ((^y.y)((^y1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 50757/3659160. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 50758/3659313. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50759/3659331. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 50760/3659412. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a)) a)) IRREDUCIBLE: cycle. ------ 50761/3659475. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 50762/3659502. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 50763/3659529. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 50764/3659583. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50765/3659610. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 50766/3659682. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50767/3659727. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 50768/3659754. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 50769/3659781. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 50770/3659808. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 50771/3659880. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50772/3659925. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 50773/3659952. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 50774/3660006. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.b))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 50775/3660087. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 50776/3660096. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 50777/3660123. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 50778/3660150. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 50779/3660177. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 50780/3660222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 9. ==[ beta ]==> ((^y.y)((^z.b) a)) 10. ==[ alpha ]==> ((^x.x)((^y.b) a)) 11. ==[ beta ]==> ((^y.b) a) 12. ==[ alpha ]==> ((^x.b) a) 13. ==[ beta ]==> b REDUCED to normal form. ------ 50781/3660375. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 50782/3660528. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50783/3660627. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 50784/3660762. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50785/3660879. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.a))) REDUCED to normal form. ------ 50786/3660906. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 50787/3660924. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 50788/3660960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50789/3660987. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 50790/3661005. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 50791/3661014. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 50792/3661041. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50793/3661068. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 50794/3661131. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a (a a)))) REDUCED to normal form. ------ 50795/3661158. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(a (^y.y))) 6. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 50796/3661185. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 50797/3661212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 9. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 10. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 11. ==[ beta ]==> (a (a (^y.y))) 12. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 50798/3661239. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 50799/3661266. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(a (a a)))) 3. ==[ beta ]==> (((a b) a)((a a)(a (a a)))) REDUCED to normal form. ------ 50800/3661347. ------ 1. ==[ start ]==> ((a (b a))(c c)) REDUCED to normal form. ------ 50801/3661437. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a) b)) 5. ==[ beta ]==> (b (((^z.z) a) b)) 6. ==[ alpha ]==> (b (((^x.x) a) b)) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 50802/3661518. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> (b ((^z.(z z)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 50803/3661581. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 50804/3661626. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 50805/3661653. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 50806/3661689. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 50807/3661707. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) a)) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 50808/3661716. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 50809/3661770. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 50810/3661788. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50811/3661797. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.y))) REDUCED to normal form. ------ 50812/3661824. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 50813/3661851. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 50814/3661896. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 50815/3661914. ------ 1. ==[ start ]==> (((a a)(b a))(a c)) REDUCED to normal form. ------ 50816/3661941. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (a a))) REDUCED to normal form. ------ 50817/3661968. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 50818/3661995. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(a a))) REDUCED to normal form. ------ 50819/3662022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b a)) 3. ==[ beta ]==> (((^y.y)((a a) a))(b a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b a)) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 50820/3662049. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 50821/3662076. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (a a))) REDUCED to normal form. ------ 50822/3662103. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(a a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 50823/3666789. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a)) b) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a)) b) 3. ==[ beta ]==> (((a a)((^y.y) a)) b) 4. ==[ alpha ]==> (((a a)((^x.x) a)) b) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 50824/3666813. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50825/3666894. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50826/3667128. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(a (a a)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 50827/3667398. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^z.(z z)))(((^y.b)(^z.(z z)))((^y.b)(^z.(z z))))) 4. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.b)(^x1.(x1 x1)))((^y1.b)(^z1.(z1 z1))))) 5. ==[ beta ]==> (b (((^z.b)(^x1.(x1 x1)))((^y1.b)(^z1.(z1 z1))))) 6. ==[ alpha ]==> (b (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1))))) 7. ==[ beta ]==> (b (b ((^z.b)(^x1.(x1 x1))))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.(y y))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 50828/3667623. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 50829/3668076. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 50830/3668514. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50831/3668694. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z))) b) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) b) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) b) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 9. ==[ beta ]==> (((^y.y)(^z.z)) b) 10. ==[ alpha ]==> (((^x.x)(^y.y)) b) 11. ==[ beta ]==> ((^y.y) b) 12. ==[ alpha ]==> ((^x.x) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 50832/3669081. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))((^y1.y1) a))(((^z.z)(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (^x.(((^z.z)((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 6. ==[ alpha ]==> (^x.(((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 7. ==[ beta ]==> (^x.(((^z.z) a)(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 8. ==[ alpha ]==> (^x.(((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))) 9. ==[ beta ]==> (^x.(a (((^z.z)(^x1.x1))((^y1.y1) a)))) 10. ==[ alpha ]==> (^x.(a (((^y.y)(^z.z))((^x1.x1) a)))) 11. ==[ beta ]==> (^x.(a ((^z.z)((^x1.x1) a)))) 12. ==[ alpha ]==> (^x.(a ((^y.y)((^z.z) a)))) 13. ==[ beta ]==> (^x.(a ((^z.z) a))) 14. ==[ alpha ]==> (^x.(a ((^y.y) a))) 15. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 50833/3669210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(y y)))) 7. ==[ beta ]==> (a (^y.(^z.(y y)))) 8. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 50834/3669288. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50835/3669597. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z b))) 9. ==[ beta ]==> ((^y.y)(^z.(z b))) 10. ==[ alpha ]==> ((^x.x)(^y.(y b))) 11. ==[ beta ]==> (^y.(y b)) 12. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 50836/3669777. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.b))) REDUCED to normal form. ------ 50837/3669939. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 50838/3670389. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50839/3670533. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50840/3670668. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50841/3670719. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a (^z.z)))) 3. ==[ eta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 50842/3670893. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 50843/3671064. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 50844/3671145. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 50845/3671163. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b)(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 50846/3671226. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 50847/3671268. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50848/3671289. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 50849/3671343. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50850/3671397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50851/3671424. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 50852/3671451. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 50853/3671478. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 50854/3671508. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 50855/3671535. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 50856/3671562. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 50857/3671589. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 50858/3671643. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50859/3671670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 50860/3671697. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 50861/3671733. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.z))) REDUCED to normal form. ------ 50862/3671787. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 50863/3671796. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 50864/3671823. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 50865/3671868. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 50866/3671895. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))(^y.b))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 50867/3671922. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 50868/3672066. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 50869/3672093. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 50870/3672237. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 50871/3672291. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 50872/3672318. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 50873/3672453. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50874/3672480. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 50875/3672543. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 50876/3672570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 50877/3672597. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 50878/3672624. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 50879/3672651. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 50880/3672705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((^y.y) a)(^z.b)) 8. ==[ alpha ]==> (((^x.x) a)(^y.b)) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 50881/3672741. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 50882/3672768. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.y))) REDUCED to normal form. ------ 50883/3672822. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 50884/3672849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 50885/3672966. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (a b))) 5. ==[ beta ]==> (a (c (a b))) REDUCED to normal form. ------ 50886/3673047. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 50887/3673074. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 50888/3673083. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 50889/3673128. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 11. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 50890/3673209. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a b))) REDUCED to normal form. ------ 50891/3673227. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 50892/3673281. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 50893/3673308. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 50894/3673362. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 50895/3673380. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 50896/3673389. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a b))(^y.y)) 10. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 50897/3673542. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a) c)) REDUCED to normal form. ------ 50898/3673668. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (a b))) REDUCED to normal form. ------ 50899/3673704. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(a a)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50900/3673731. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 50901/3673749. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 50902/3673758. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 50903/3673776. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 50904/3673875. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 50905/3673902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(a a)))) 7. ==[ beta ]==> (a (a (^y.(a a)))) 8. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 50906/3673929. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 50907/3673947. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 50908/3673956. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 50909/3673983. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 50910/3674163. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b) b)((^y.y) c)) 4. ==[ alpha ]==> (((a b) b)((^x.x) c)) 5. ==[ beta ]==> (((a b) b) c) REDUCED to normal form. ------ 50911/3674235. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 50912/3674289. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (a b))) 9. ==[ beta ]==> ((^y.y)(a (a b))) 10. ==[ alpha ]==> ((^x.x)(a (a b))) 11. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 50913/3674298. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 50914/3674352. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 50915/3674370. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 50916/3674442. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 50917/3674469. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.b))) REDUCED to normal form. ------ 50918/3674523. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 50919/3674550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 10. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 11. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 50920/3674577. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 50921/3674595. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 50922/3674604. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 50923/3674631. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 50924/3674829. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 50925/3674838. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 50926/3674865. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(y y)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(x x)) c)) 5. ==[ beta ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 50927/3674910. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 50928/3674937. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 50929/3674973. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 50930/3675027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 50931/3675054. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 50932/3675081. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 50933/3675108. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 50934/3675135. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a)) b)) REDUCED to normal form. ------ 50935/3675171. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 50936/3675198. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 50937/3675225. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 50938/3675333. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.(y y)))) 3. ==[ beta ]==> (((a b) a)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(x x)))) REDUCED to normal form. ------ 50939/3675360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 50940/3675387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 50941/3675414. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 50942/3675585. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 50943/3675648. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 50944/3675756. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 50945/3675783. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 50946/3675837. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 50947/3675855. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 50948/3675864. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 50949/3675891. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 50950/3675963. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 50951/3675981. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 50952/3676008. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 50953/3676035. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 50954/3676062. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.x))) REDUCED to normal form. ------ 50955/3676089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 50956/3676116. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 50957/3676143. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 50958/3676170. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 50959/3676686. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 50960/3681117. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 50961/3681213. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.(z z)))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 50962/3681384. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 50963/3681387. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 50964/3681666. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z))) b) 4. ==[ beta ]==> ((a (^y.(^z.z))) b) 5. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 50965/3682422. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 50966/3682599. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 50967/3682779. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 50968/3682872. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 50969/3683097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 50970/3683373. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.a))(((^z.z)(^x1.x1))(^y1.a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 7. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 9. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 10. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 50971/3683682. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 11. ==[ beta ]==> (^y.(^z.y)) 12. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 50972/3683691. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 50973/3684048. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))(^y.y)) 4. ==[ alpha ]==> (((((a a) a) a)(((a a) a) a))(^x.x)) REDUCED to normal form. ------ 50974/3684339. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 50975/3684804. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 50976/3684978. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 50977/3685086. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 50978/3685167. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 50979/3685248. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 50980/3685257. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 50981/3685353. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 50982/3685374. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50983/3685482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.z)) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 50984/3685536. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 50985/3685563. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.a)) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 50986/3685611. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (a (((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (a ((a a)((^y.y) a))) 6. ==[ alpha ]==> (a ((a a)((^x.x) a))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 50987/3685638. ------ 1. ==[ start ]==> (((a a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 50988/3685665. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 50989/3685692. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 50990/3685719. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 50991/3685746. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 50992/3685773. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 50993/3685800. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 50994/3685818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 50995/3685863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 50996/3685890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.a))) REDUCED to normal form. ------ 50997/3685917. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 50998/3685926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 50999/3686007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a b))) 5. ==[ beta ]==> (a ((^y.(y y))(a b))) 6. ==[ alpha ]==> (a ((^x.(x x))(a b))) 7. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 51000/3686034. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51001/3686088. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 51002/3686106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a) a)) 3. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 51003/3686133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 51004/3686196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.b)(^z.(z z)))((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51005/3686223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51006/3686277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((^y.(y y))(^z.b)) 8. ==[ alpha ]==> ((^x.(x x))(^y.b)) 9. ==[ beta ]==> ((^y.b)(^y.b)) 10. ==[ alpha ]==> ((^x.b)(^y.b)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 51007/3686304. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 51008/3686340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 51009/3686367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 51010/3686394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 51011/3686430. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) c)) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 51012/3686502. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 51013/3686682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51014/3686709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 51015/3686763. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 51016/3686835. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 51017/3686889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 51018/3686916. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 51019/3686943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b) c)) 3. ==[ beta ]==> (((^y.y)(a a))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((a b) c)) 5. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 51020/3687006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51021/3687060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.b))) 5. ==[ beta ]==> (a ((^z.a)(^x1.b))) 6. ==[ alpha ]==> (a ((^x.a)(^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51022/3687096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b (b ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 7. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 51023/3687123. ------ 1. ==[ start ]==> ((((a a) a) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 51024/3687177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 51025/3687204. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 51026/3687231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 51027/3687258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51028/3687285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 51029/3687303. ------ 1. ==[ start ]==> ((a (^a.b))(c (^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.b))) REDUCED to normal form. ------ 51030/3687375. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 51031/3687402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 51032/3687429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 51033/3687456. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x x))) REDUCED to normal form. ------ 51034/3687483. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 51035/3687492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 51036/3687573. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 51037/3687654. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51038/3687681. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 51039/3687708. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51040/3687744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 51041/3687762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 51042/3687771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (a b))) REDUCED to normal form. ------ 51043/3687798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)(a ((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51044/3687825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 51045/3687852. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 51046/3688023. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 51047/3688050. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 51048/3688077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 51049/3688086. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51050/3688113. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 51051/3688167. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51052/3688248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51053/3688302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 51054/3688329. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51055/3688338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(c (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.z))) REDUCED to normal form. ------ 51056/3688383. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.b))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 11. ==[ beta ]==> ((^y.y)(^z.b)) 12. ==[ alpha ]==> ((^x.x)(^y.b)) 13. ==[ beta ]==> (^y.b) 14. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 51057/3688392. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 51058/3688419. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a a))) 7. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 51059/3688446. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 51060/3688473. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 51061/3688500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 51062/3688590. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 51063/3688617. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 51064/3688644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 51065/3688671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 51066/3688698. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 51067/3688752. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 51068/3688788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51069/3688932. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a b) c)((^y.y)(a a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(a a))) 5. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 51070/3688959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 51071/3688986. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 51072/3689031. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 51073/3689040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.z))) REDUCED to normal form. ------ 51074/3689085. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 51075/3689166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51076/3689346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 51077/3689373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 9. ==[ beta ]==> ((^y.(y y)) b) 10. ==[ alpha ]==> ((^x.(x x)) b) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51078/3689400. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a) c)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 51079/3689481. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.y))) REDUCED to normal form. ------ 51080/3689508. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 51081/3689598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 7. ==[ beta ]==> (b ((^y.y)(^y.y))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51082/3689679. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 51083/3689742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 51084/3689787. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(y y)))) 3. ==[ beta ]==> ((b a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 51085/3689814. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51086/3689850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b c)) 3. ==[ beta ]==> ((a (^y.(a a)))(b c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(b c)) REDUCED to normal form. ------ 51087/3689868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 51088/3689931. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 51089/3689949. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 51090/3689958. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 51091/3689985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 51092/3690012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 51093/3690057. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 51094/3690075. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 51095/3690102. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 51096/3690129. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a) b)) 5. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 51097/3690156. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 51098/3690183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) b)) 5. ==[ beta ]==> (((a a) a)((^y.y) b)) 6. ==[ alpha ]==> (((a a) a)((^x.x) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 51099/3690210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 51100/3690237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a) a)) REDUCED to normal form. ------ 51101/3690264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y) a)) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 51102/3690290. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(x (^z.z)))) REDUCED to normal form. ------ 51103/3690291. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51104/3694995. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 51105/3695001. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 51106/3695028. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^z.z) a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 9. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 10. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 51107/3695055. ------ 1. ==[ start ]==> ((^a.b)((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 51108/3695136. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 51109/3695238. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 51110/3695253. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(^z.z))) 3. ==[ beta ]==> (^y.((b a)(^z.z))) 4. ==[ alpha ]==> (^x.((b a)(^y.y))) REDUCED to normal form. ------ 51111/3695820. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51112/3695946. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51113/3696534. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51114/3697209. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51115/3697278. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) c)) 3. ==[ beta ]==> (^y.(((^z.a) c)((^z.a) c))) 4. ==[ alpha ]==> (^x.(((^y.a) c)((^z.a) c))) 5. ==[ beta ]==> (^x.(a ((^z.a) c))) 6. ==[ alpha ]==> (^x.(a ((^y.a) c))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 51116/3697803. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 51117/3697974. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((a a) a))) REDUCED to normal form. ------ 51118/3698478. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 51119/3698613. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 51120/3698757. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 51121/3699090. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 51122/3699279. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 51123/3699288. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 51124/3699360. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51125/3699369. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 51126/3699465. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51127/3699567. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 51128/3699648. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.b)) REDUCED to normal form. ------ 51129/3699675. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(z z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y y))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 51130/3699702. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 51131/3699714. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51132/3699741. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 51133/3699768. ------ 1. ==[ start ]==> ((a b)((a b)(a (a a)))) REDUCED to normal form. ------ 51134/3699822. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 51135/3699849. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 51136/3699948. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 51137/3699966. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 51138/3700002. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51139/3700047. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 51140/3700074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 51141/3700083. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 51142/3700110. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 51143/3700128. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.b))) 5. ==[ beta ]==> (a ((a (a a))(^y.b))) 6. ==[ alpha ]==> (a ((a (a a))(^x.b))) REDUCED to normal form. ------ 51144/3700137. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))((a b)(a b))) REDUCED to normal form. ------ 51145/3700155. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 51146/3700164. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 51147/3700191. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 51148/3700299. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 51149/3700380. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 51150/3700407. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 51151/3700434. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 51152/3700461. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 51153/3700533. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51154/3700551. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 51155/3700578. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a b) a)) REDUCED to normal form. ------ 51156/3700605. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 51157/3700632. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 51158/3700659. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 51159/3700803. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 51160/3700812. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 51161/3700830. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 51162/3700839. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 51163/3700866. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 51164/3700884. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 51165/3700893. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51166/3700920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((^y.(y y))((a a) a)) 8. ==[ alpha ]==> ((^x.(x x))((a a) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 51167/3701217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51168/3701289. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51169/3701442. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 51170/3701469. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 51171/3701595. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51172/3701613. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 51173/3701694. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.(a a)))) IRREDUCIBLE: cycle. ------ 51174/3701757. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 51175/3701775. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 51176/3701784. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 51177/3701811. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 51178/3701865. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 51179/3701892. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 51180/3701919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51181/3701964. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51182/3701991. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 51183/3702009. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 51184/3702036. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 51185/3702063. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 51186/3702090. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 51187/3702117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(a b))) 5. ==[ beta ]==> (((^y.y) a)((a a)(a b))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(a b))) 7. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 51188/3702162. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(a a))) 3. ==[ beta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51189/3702207. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51190/3702234. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 51191/3702288. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 51192/3702369. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 51193/3702378. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 51194/3702405. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51195/3702432. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 51196/3702459. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 51197/3702513. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 51198/3702585. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51199/3702657. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 51200/3702684. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((a a) a))) REDUCED to normal form. ------ 51201/3702810. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51202/3702909. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 51203/3703044. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51204/3703161. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 51205/3703188. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.a))) REDUCED to normal form. ------ 51206/3703206. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 51207/3703242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51208/3703269. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 51209/3703287. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 51210/3703296. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 51211/3703323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51212/3703350. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 51213/3703440. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (a (a a)))) 3. ==[ beta ]==> ((a (a b))(b (a (a a)))) REDUCED to normal form. ------ 51214/3703467. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.x))) REDUCED to normal form. ------ 51215/3703494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a a))) 7. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 51216/3703521. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 51217/3703548. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a b) a)((a (^x.x)) a)) REDUCED to normal form. ------ 51218/3703575. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 51219/3703719. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) a)) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 51220/3703863. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 51221/3703935. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 51222/3703971. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 51223/3703989. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 51224/3703998. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 51225/3704052. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51226/3704070. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 51227/3704079. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 51228/3704106. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 51229/3704133. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 51230/3704178. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 51231/3704196. ------ 1. ==[ start ]==> (((a a)(b a))(b b)) REDUCED to normal form. ------ 51232/3704250. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a a))) 5. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 51233/3704277. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 51234/3704304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 51235/3704331. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 51236/3704358. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a b)) REDUCED to normal form. ------ 51237/3704385. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (a a))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 51238/3704412. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 51239/3707583. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((^z.((a a) a))(^z.((a a) a)))(^y.y)) 4. ==[ alpha ]==> (((^x.((a a) a))(^y.((a a) a)))(^z.z)) 5. ==[ beta ]==> (((a a) a)(^z.z)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51240/3709125. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 51241/3709149. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51242/3709230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51243/3709464. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))((^x1.x1) a))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51244/3709656. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y a))) 3. ==[ beta ]==> (((a a) a)(^y.(y a))) 4. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 51245/3709734. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^z.a))(((^y.(a a))(^z.a))((^y.(a a))(^z.a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.a))(((^z.(a a))(^x1.a))((^y1.(a a))(^z1.a)))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.a))((^y1.(a a))(^z1.a)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.a))((^z.(a a))(^x1.a)))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 51246/3709935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x))(a a)) b) 4. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 51247/3709959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51248/3710439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 51249/3710517. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((^y.b)(^z.a))((^y.b)(^z.a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((((^x.b)(^y.a))((^z.b)(^x1.a)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.a)))((^y1.b)(^z1.a))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.a)))((^z.b)(^x1.a))) 7. ==[ beta ]==> ((b b)((^z.b)(^x1.a))) 8. ==[ alpha ]==> ((b b)((^x.b)(^y.a))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 51250/3710691. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 51251/3710850. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 51252/3711030. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 51253/3711417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (^y.((((a a) a)(a (^z.z)))(((a a) a)(a (^z.z))))) 4. ==[ alpha ]==> (^x.((((a a) a)(a (^y.y)))(((a a) a)(a (^z.z))))) REDUCED to normal form. ------ 51254/3711573. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 51255/3712140. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 51256/3712299. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((^z.z)((a a) a))((^z.z)((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((a a) a))((^y.y)((a a) a)))(^z.z)) 5. ==[ beta ]==> ((((a a) a)((^y.y)((a a) a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)((^x.x)((a a) a)))(^y.y)) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 51257/3712302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 51258/3712473. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 51259/3712896. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51260/3713031. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 51261/3713055. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(a a))) 3. ==[ eta ]==> (b ((^y.(y y))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 51262/3713337. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((b a)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 51263/3713427. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 51264/3713508. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 51265/3713652. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 51266/3713706. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51267/3713760. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 51268/3713787. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 51269/3713814. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 51270/3713841. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 51271/3713871. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 51272/3713898. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 51273/3713925. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(a (a a)))) 3. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 51274/3713952. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 51275/3714006. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51276/3714033. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 51277/3714060. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 51278/3714087. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 51279/3714150. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 51280/3714186. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 51281/3714231. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 51282/3714285. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 51283/3714312. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 51284/3714375. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(b a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 51285/3714456. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 51286/3714654. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (b a))) 3. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 51287/3714681. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 51288/3714816. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51289/3714843. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 51290/3714897. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 51291/3714933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 51292/3714960. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51293/3714987. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.a))) REDUCED to normal form. ------ 51294/3715014. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 51295/3715041. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 51296/3715104. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 51297/3715131. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 51298/3715158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 51299/3715212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 51300/3715239. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 51301/3715410. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 51302/3715437. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 51303/3715446. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 51304/3715473. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b) c)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 51305/3715491. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)(((a a) a)((^x.x) a))) 9. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 51306/3715500. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a) d)) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 51307/3715572. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (^x.b))(a ((a a) a))) REDUCED to normal form. ------ 51308/3715617. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(a a)))) REDUCED to normal form. ------ 51309/3715671. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(a a))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 51310/3715698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 51311/3715743. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 51312/3715752. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 51313/3715905. ------ 1. ==[ start ]==> ((((a a) a) b)((a b) b)) REDUCED to normal form. ------ 51314/3715932. ------ 1. ==[ start ]==> (((a b) a)(((a a) a) c)) REDUCED to normal form. ------ 51315/3716094. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 51316/3716112. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 51317/3716121. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b) b)) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 51318/3716139. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 51319/3716265. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.b))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.b))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.b))) 7. ==[ beta ]==> (a (b (^y.b))) 8. ==[ alpha ]==> (a (b (^x.b))) REDUCED to normal form. ------ 51320/3716292. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 51321/3716310. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 51322/3716319. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(a a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 51323/3716526. ------ 1. ==[ start ]==> (((a b) b)(((a a) a) b)) REDUCED to normal form. ------ 51324/3716652. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a) a))) 9. ==[ beta ]==> ((^y.y)(b ((a a) a))) 10. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 11. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 51325/3716688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.b) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.b) a)) 7. ==[ beta ]==> (((^y.b) a)((^y.b) a)) 8. ==[ alpha ]==> (((^x.b) a)((^y.b) a)) 9. ==[ beta ]==> (b ((^y.b) a)) 10. ==[ alpha ]==> (b ((^x.b) a)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51326/3716715. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 51327/3716733. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 51328/3716742. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51329/3716832. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.a))) REDUCED to normal form. ------ 51330/3716859. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a (^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.b))) REDUCED to normal form. ------ 51331/3716913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 51332/3716940. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a) a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x) a))) 9. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 51333/3716958. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 51334/3716967. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 51335/3716994. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 51336/3717021. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 51337/3717192. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 51338/3717201. ------ 1. ==[ start ]==> (((a b) c)((^c.a) a)) 2. ==[ alpha ]==> (((a b) c)((^x.a) a)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 51339/3717228. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 51340/3717273. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 51341/3717300. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 51342/3717390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51343/3717417. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 51344/3717435. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c d)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 51345/3717444. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 51346/3717471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51347/3717498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 51348/3717534. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 51349/3717561. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 51350/3717588. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 51351/3717615. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 51352/3717696. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.a))) 3. ==[ beta ]==> (((a b) a)(c (^y.a))) 4. ==[ alpha ]==> (((a b) a)(c (^x.a))) REDUCED to normal form. ------ 51353/3717723. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 51354/3717750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 51355/3717777. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 51356/3717948. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> (b (b ((^z.z) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 51357/3718011. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 51358/3718056. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)((^y.y) a))) 3. ==[ beta ]==> ((b a)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((b a)((a a)((^x.x) a))) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 51359/3718119. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 51360/3718137. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b c)) 3. ==[ beta ]==> (((a b)(a b))(b c)) REDUCED to normal form. ------ 51361/3718146. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 51362/3718200. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 51363/3718218. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 51364/3718227. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a) c)) REDUCED to normal form. ------ 51365/3718254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 51366/3718281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 51367/3718344. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 51368/3718371. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 51369/3718398. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 51370/3718425. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 51371/3718452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.y))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 51372/3718479. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 51373/3718506. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 51374/3718533. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51375/3718560. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 51376/3718833. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 51377/3723045. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51378/3723558. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 51379/3723561. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 51380/3723630. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.a))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 51381/3723801. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 51382/3724110. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 51383/3724353. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 51384/3724683. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((a b) c)) 3. ==[ beta ]==> ((((a b) c)((a b) c))((a b) c)) REDUCED to normal form. ------ 51385/3724857. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51386/3725196. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z))) b) 5. ==[ beta ]==> (((^y.y)(^z.(z z))) b) 6. ==[ alpha ]==> (((^x.x)(^y.(y y))) b) 7. ==[ beta ]==> ((^y.(y y)) b) 8. ==[ alpha ]==> ((^x.(x x)) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51387/3725541. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 51388/3725790. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.(^x1.x1)))(((a a) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51389/3726135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z b))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z b))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y b))) 7. ==[ beta ]==> ((^y.(y b))(^y.(y b))) 8. ==[ alpha ]==> ((^x.(x b))(^y.(y b))) 9. ==[ beta ]==> ((^y.(y b)) b) 10. ==[ alpha ]==> ((^x.(x b)) b) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51390/3726639. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 51391/3726648. ------ 1. ==[ start ]==> (((a b) c)(^a.((a a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((x x) x))) REDUCED to normal form. ------ 51392/3726783. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 51393/3727221. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.y))) 3. ==[ eta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 51394/3727314. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (a a)))) 5. ==[ beta ]==> (b (^z.(a (a a)))) 6. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 51395/3727530. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 51396/3727701. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 51397/3727770. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51398/3727773. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 51399/3727872. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.b)) REDUCED to normal form. ------ 51400/3727926. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 51401/3727953. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 51402/3728007. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 51403/3728055. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (a (((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51404/3728082. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 51405/3728109. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 51406/3728136. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 51407/3728163. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 51408/3728190. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(a b))) REDUCED to normal form. ------ 51409/3728217. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 51410/3728244. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 51411/3728271. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(b a))) REDUCED to normal form. ------ 51412/3728289. ------ 1. ==[ start ]==> ((a (^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 51413/3728307. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 51414/3728334. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 51415/3728361. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 51416/3728370. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 51417/3728397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 51418/3728451. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 51419/3728478. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 51420/3728532. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 51421/3728577. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) a)) REDUCED to normal form. ------ 51422/3728604. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 51423/3728640. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((^y.(a a))(^z.a))((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (((^x.(a a))(^y.a))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 51424/3728667. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 51425/3728721. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51426/3728748. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 51427/3728775. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51428/3728784. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(c (a a))) REDUCED to normal form. ------ 51429/3728811. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 51430/3728838. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (b a))) REDUCED to normal form. ------ 51431/3728901. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a)) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a)) c)) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 51432/3728946. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((b b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 51433/3729072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 51434/3729081. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 51435/3729153. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51436/3729279. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 51437/3729306. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 51438/3729360. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 51439/3729387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 51440/3729414. ------ 1. ==[ start ]==> ((a ((a a) a))((a b) c)) REDUCED to normal form. ------ 51441/3729450. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51442/3729504. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (a ((^y.a)(^y.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51443/3729540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (a b))) 3. ==[ beta ]==> (((^y.y) b)(c (a b))) 4. ==[ alpha ]==> (((^x.x) b)(c (a b))) 5. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 51444/3729567. ------ 1. ==[ start ]==> ((((a a) a) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(b (a a))) REDUCED to normal form. ------ 51445/3729621. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 51446/3729648. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 51447/3729675. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 51448/3729702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51449/3729729. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 51450/3729846. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 51451/3729873. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 51452/3729900. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 51453/3729927. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a b))(^y.(y y))) 6. ==[ alpha ]==> ((a (a b))(^x.(x x))) REDUCED to normal form. ------ 51454/3729936. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 51455/3730017. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a b))) IRREDUCIBLE: cycle. ------ 51456/3730098. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51457/3730125. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 51458/3730152. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51459/3730206. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 51460/3730242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (a b))) 5. ==[ beta ]==> ((^y.a)(b (a b))) 6. ==[ alpha ]==> ((^x.a)(b (a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51461/3730269. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 51462/3730296. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 51463/3730332. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) c)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 51464/3730494. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 51465/3730521. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 51466/3730530. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51467/3730557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51468/3730611. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 51469/3730692. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51470/3730746. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 51471/3730773. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 51472/3730836. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 51473/3730863. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a b))) 5. ==[ beta ]==> ((^y.(y y))(a (a b))) 6. ==[ alpha ]==> ((^x.(x x))(a (a b))) 7. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 51474/3730890. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 51475/3730917. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 51476/3730944. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 51477/3731061. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 51478/3731088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 10. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 51479/3731115. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 51480/3731133. ------ 1. ==[ start ]==> (((^a.b) c)(d d)) 2. ==[ alpha ]==> (((^x.b) c)(d d)) 3. ==[ beta ]==> (b (d d)) REDUCED to normal form. ------ 51481/3731142. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 51482/3731169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 51483/3731232. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51484/3731367. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 51485/3731376. ------ 1. ==[ start ]==> (((a b) c)(a ((a a) a))) REDUCED to normal form. ------ 51486/3731403. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 51487/3731430. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 51488/3731484. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 51489/3731511. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 51490/3731610. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51491/3731619. ------ 1. ==[ start ]==> (((a b)(^b.a))(c d)) 2. ==[ alpha ]==> (((a b)(^x.a))(c d)) REDUCED to normal form. ------ 51492/3731709. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 51493/3731817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 9. ==[ beta ]==> ((^y.(^z.z)) a) 10. ==[ alpha ]==> ((^x.(^y.y)) a) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51494/3731844. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(b b)) REDUCED to normal form. ------ 51495/3731871. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a) c)) 3. ==[ beta ]==> (((a b) a)((^y.a) c)) 4. ==[ alpha ]==> (((a b) a)((^x.a) c)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 51496/3731952. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.x))) REDUCED to normal form. ------ 51497/3732042. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a (a a)))) 5. ==[ beta ]==> (b ((^z.z)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 51498/3732123. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51499/3732186. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (a a))) REDUCED to normal form. ------ 51500/3732231. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.a))) 3. ==[ beta ]==> ((b a)(b (^y.a))) 4. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 51501/3732258. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 51502/3732294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c b)) 3. ==[ beta ]==> ((a (^y.(a a)))(c b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(c b)) REDUCED to normal form. ------ 51503/3732312. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 51504/3732321. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b c)) REDUCED to normal form. ------ 51505/3732375. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 51506/3732393. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51507/3732402. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 51508/3732429. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 51509/3732456. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 51510/3732501. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 51511/3732519. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 51512/3732546. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51513/3732573. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y)) a)) 5. ==[ beta ]==> ((a (a a))((a (^y.y)) a)) 6. ==[ alpha ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 51514/3732600. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a) b)) REDUCED to normal form. ------ 51515/3732627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51516/3732654. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 51517/3732681. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 51518/3732708. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a) a)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 51519/3732735. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 51520/3732761. ------ 1. ==[ start ]==> (^a.((b a)(a a))) 2. ==[ alpha ]==> (^x.((b x)(x x))) REDUCED to normal form. ------ 51521/3732762. ------ 1. ==[ start ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 51522/3737229. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51523/3737499. ------ 1. ==[ start ]==> ((^a.a)((b a)(a a))) 2. ==[ alpha ]==> ((^x.x)((b a)(a a))) 3. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 51524/3737526. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z)))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 51525/3737553. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 51526/3737634. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.z)) 5. ==[ beta ]==> (((^y.y)((a a) a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51527/3738444. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51528/3739734. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 51529/3739776. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b) b)) 3. ==[ beta ]==> (^y.(((^z.b) b)((^z.b) b))) 4. ==[ alpha ]==> (^x.(((^y.b) b)((^z.b) b))) 5. ==[ beta ]==> (^x.(b ((^z.b) b))) 6. ==[ alpha ]==> (^x.(b ((^y.b) b))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 51530/3739950. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 51531/3740328. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.y))) 7. ==[ beta ]==> ((^y.(^z.y))(^y.(^z.y))) 8. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.z))) 9. ==[ beta ]==> (^y.(^z.(^x1.z))) 10. ==[ alpha ]==> (^x.(^y.(^z.y))) REDUCED to normal form. ------ 51532/3740841. ------ 1. ==[ start ]==> (((a b) c)(^b.(^c.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 51533/3741138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 51534/3741282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 11. ==[ beta ]==> (^x.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51535/3741507. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 51536/3741894. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 51537/3741966. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.c)) REDUCED to normal form. ------ 51538/3742092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 51539/3742173. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.b)) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 51540/3742200. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 51541/3742239. ------ 1. ==[ start ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 51542/3742266. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51543/3742293. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 51544/3742347. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 51545/3742374. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 51546/3742572. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 51547/3742599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 51548/3742608. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 51549/3742662. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 51550/3742680. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 51551/3742689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a b))) REDUCED to normal form. ------ 51552/3742716. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 51553/3742905. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 51554/3742932. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 51555/3742959. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 51556/3742986. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 51557/3743076. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 51558/3743103. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a (^y.y)))) REDUCED to normal form. ------ 51559/3743130. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a b) a)) REDUCED to normal form. ------ 51560/3743157. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 51561/3743184. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 51562/3743283. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 51563/3743328. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 51564/3743337. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51565/3743355. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 51566/3743364. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 51567/3743391. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 51568/3743409. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 51569/3743445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51570/3743742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.b))) 5. ==[ beta ]==> (b ((^y.a)(^z.b))) 6. ==[ alpha ]==> (b ((^x.a)(^y.b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51571/3743769. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 51572/3743868. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b) c)) 7. ==[ beta ]==> ((a a)((^y.b) c)) 8. ==[ alpha ]==> ((a a)((^x.b) c)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 51573/3743967. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 51574/3743994. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a b))) REDUCED to normal form. ------ 51575/3744021. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 51576/3744120. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51577/3744138. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 51578/3744219. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.b))) IRREDUCIBLE: cycle. ------ 51579/3744282. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 51580/3744300. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 51581/3744309. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 51582/3744327. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a) c)) 3. ==[ beta ]==> ((a b)(((a a) a) c)) REDUCED to normal form. ------ 51583/3744336. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 51584/3744390. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51585/3744417. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 51586/3744444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51587/3744471. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 51588/3744489. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 51589/3744516. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 51590/3744534. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 51591/3744561. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 51592/3744588. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 51593/3744615. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 51594/3744642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a) a))) 7. ==[ beta ]==> (a ((a (^y.y))((a a) a))) 8. ==[ alpha ]==> (a ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 51595/3744669. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 51596/3744687. ------ 1. ==[ start ]==> (((^a.b) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 51597/3744732. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51598/3744759. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 51599/3744813. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 51600/3744894. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 51601/3744903. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 51602/3744957. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 51603/3744984. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 51604/3745038. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51605/3745065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((^y.y)(^z.b))((^y.y)(^z.b))) 8. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.b))) 9. ==[ beta ]==> ((^y.b)((^z.z)(^x1.b))) 10. ==[ alpha ]==> ((^x.b)((^y.y)(^z.b))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 51606/3745110. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51607/3745182. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 51608/3745209. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 51609/3745236. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 51610/3745335. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 51611/3745434. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 51612/3745578. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b) c)(^y.a)) 4. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 51613/3745686. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(z z)))) REDUCED to normal form. ------ 51614/3745713. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 51615/3745767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51616/3745794. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 51617/3745812. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 51618/3745821. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 51619/3745848. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 51620/3745875. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 51621/3745965. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(c ((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))(c ((^x.x) a))) 5. ==[ beta ]==> ((a (a b))(c a)) REDUCED to normal form. ------ 51622/3745992. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 51623/3746019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 51624/3746046. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 51625/3746073. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a b) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a b) a)(a (a (^x.x)))) REDUCED to normal form. ------ 51626/3746100. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 51627/3746127. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 51628/3746244. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(z z)))) 5. ==[ beta ]==> (b ((a a)(^z.(z z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 51629/3746325. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 51630/3746433. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 51631/3746496. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 51632/3746514. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 51633/3746523. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 51634/3746577. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 51635/3746595. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y)) b)) 3. ==[ beta ]==> (b ((a (^y.y)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 51636/3746604. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 51637/3746631. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 51638/3746721. ------ 1. ==[ start ]==> (((a a)(b a))(c a)) REDUCED to normal form. ------ 51639/3746748. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b b)) REDUCED to normal form. ------ 51640/3746802. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (a a))) REDUCED to normal form. ------ 51641/3746829. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 51642/3746856. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 51643/3746883. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b a)) REDUCED to normal form. ------ 51644/3746910. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(a b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a b)) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 51645/3746937. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 51646/3747228. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(b a))) 3. ==[ beta ]==> (^y.(^z.(b a))) 4. ==[ alpha ]==> (^x.(^y.(b a))) REDUCED to normal form. ------ 51647/3747795. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z))) b) 4. ==[ beta ]==> (^y.(^z.z)) 5. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51648/3750891. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51649/3751728. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51650/3751809. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51651/3751971. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(b a))) 3. ==[ beta ]==> (^y.((a a)(b a))) 4. ==[ alpha ]==> (^x.((a a)(b a))) REDUCED to normal form. ------ 51652/3751974. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(b a))) REDUCED to normal form. ------ 51653/3751992. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 51654/3752262. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z a))) REDUCED to normal form. ------ 51655/3752538. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51656/3752541. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 51657/3753045. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 51658/3753096. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1))))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1))))((^x2.(a a))(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((a a)((^x1.(a a))(^y1.(^z1.z1))))((^x2.(a a))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(a a))((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 51659/3753297. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 51660/3753429. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 51661/3753609. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.a)((^y.y) a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 51662/3753972. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 51663/3753996. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(a a))) 3. ==[ beta ]==> (^y.(((a b)(a a))((a b)(a a)))) 4. ==[ alpha ]==> (^x.(((a b)(a a))((a b)(a a)))) REDUCED to normal form. ------ 51664/3754179. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 51665/3754203. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(a a))((^z.b)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(a a))((^z.b)(a a)))) 5. ==[ beta ]==> (((^y.b)(a a))((^z.b)(a a))) 6. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(a a))) 7. ==[ beta ]==> (b ((^y.b)(a a))) 8. ==[ alpha ]==> (b ((^x.b)(a a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 51666/3754746. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 51667/3754878. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 9. ==[ beta ]==> ((^y.y)(^y1.y1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51668/3755502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51669/3755634. ------ 1. ==[ start ]==> ((^a.(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(^z.z)))) 3. ==[ eta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 51670/3755637. ------ 1. ==[ start ]==> ((a (b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51671/3756114. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 51672/3756183. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51673/3756204. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.x))) REDUCED to normal form. ------ 51674/3756258. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 51675/3756312. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51676/3756366. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51677/3756393. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a a))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 51678/3756420. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 51679/3756477. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 51680/3756504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 51681/3756531. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 51682/3756558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 51683/3756612. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51684/3756639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 51685/3756666. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 51686/3756693. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 51687/3756720. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(b a))) REDUCED to normal form. ------ 51688/3756738. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 51689/3756756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 51690/3756837. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.(y y)))) REDUCED to normal form. ------ 51691/3756864. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 51692/3756891. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 51693/3756918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.b))) REDUCED to normal form. ------ 51694/3756945. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 51695/3756981. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51696/3757008. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 51697/3757053. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 51698/3757260. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 51699/3757287. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 51700/3757422. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51701/3757449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 51702/3757503. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 51703/3757566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 51704/3757593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51705/3757620. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 51706/3757647. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 51707/3757674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51708/3757710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 51709/3757737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 51710/3757764. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 51711/3757791. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 51712/3757845. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 51713/3758016. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 51714/3758043. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 51715/3758052. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 51716/3758079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 51717/3758097. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a b)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 51718/3758106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 51719/3758178. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 51720/3758250. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 51721/3758304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 51722/3758331. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 51723/3758349. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 51724/3758358. ------ 1. ==[ start ]==> ((a (a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 51725/3758511. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((((a a) a) b)((a a) a)) REDUCED to normal form. ------ 51726/3758538. ------ 1. ==[ start ]==> (((a b) a)((a b) b)) REDUCED to normal form. ------ 51727/3758565. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a) c)) REDUCED to normal form. ------ 51728/3758718. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 51729/3758727. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 51730/3758745. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a a))) REDUCED to normal form. ------ 51731/3758898. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 51732/3758925. ------ 1. ==[ start ]==> (((a b)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 51733/3758952. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 51734/3759132. ------ 1. ==[ start ]==> (((a b) b)((a b) a)) REDUCED to normal form. ------ 51735/3759159. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a) b)) 3. ==[ beta ]==> (((a a) a)(((a a) a) b)) REDUCED to normal form. ------ 51736/3759186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.(a a))) c) REDUCED to normal form. ------ 51737/3759321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 51738/3759339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 51739/3759348. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 51740/3759375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 51741/3759438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 51742/3759465. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (^y.a))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.a))) REDUCED to normal form. ------ 51743/3759492. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.b))) REDUCED to normal form. ------ 51744/3759546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 51745/3759564. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 51746/3759573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 51747/3759600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 51748/3759627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 51749/3759798. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 51750/3759834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a) a)) 3. ==[ beta ]==> (((a a) b)((^y.a) a)) 4. ==[ alpha ]==> (((a a) b)((^x.a) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 51751/3759861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 51752/3759879. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 51753/3759906. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51754/3759960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 51755/3759996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51756/3760023. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 51757/3760050. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 51758/3760077. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 51759/3760104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 51760/3760140. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 51761/3760167. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 51762/3760194. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 51763/3760221. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 51764/3760248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51765/3760356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.(y y)))) REDUCED to normal form. ------ 51766/3760383. ------ 1. ==[ start ]==> ((a (b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 51767/3760554. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 51768/3760617. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 51769/3760662. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51770/3760689. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 51771/3760725. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 51772/3760743. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c b)) 3. ==[ beta ]==> (((a b)(a b))(c b)) REDUCED to normal form. ------ 51773/3760752. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 51774/3760806. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 51775/3760824. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 51776/3760833. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 51777/3760860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a) c)) 3. ==[ beta ]==> (((a a)(^y.a))((a a) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((a a) c)) REDUCED to normal form. ------ 51778/3760887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 51779/3760932. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 51780/3760950. ------ 1. ==[ start ]==> (((a a)(b a))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.a))) REDUCED to normal form. ------ 51781/3760977. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 51782/3761004. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 51783/3761031. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 51784/3761058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 51785/3761085. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 51786/3761112. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 51787/3761139. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 51788/3761166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 51789/3761210. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1))) x)) 3. ==[ eta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51790/3761211. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 51791/3765960. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51792/3765966. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51793/3766020. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 51794/3766290. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 51795/3766461. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 51796/3766560. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(^y.y)) b)((((a a)(^y.y)) b)(((a a)(^y.y)) b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((((a a)(^y.y)) b)(((a a)(^z.z)) b))) REDUCED to normal form. ------ 51797/3767343. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((((^y.y)(a a)) b)(((^y.y)(a a)) b))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((((^x.x)(a a)) b)(((^y.y)(a a)) b))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((((a a) b)(((^y.y)(a a)) b))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((((a a) b)(((^x.x)(a a)) b))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((((a a) b)((a a) b))(((^y.y)(a a)) b)) 8. ==[ alpha ]==> ((((a a) b)((a a) b))(((^x.x)(a a)) b)) 9. ==[ beta ]==> ((((a a) b)((a a) b))((a a) b)) REDUCED to normal form. ------ 51798/3767544. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51799/3767553. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 51800/3767856. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(^y.a)) b) 4. ==[ alpha ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 51801/3768219. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 51802/3768228. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 51803/3768417. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(a b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 51804/3768450. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.z))((a b)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.y))((a b)(^z.z)))) 5. ==[ beta ]==> (((a b)(^y.y))((a b)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 51805/3768624. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51806/3768822. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 51807/3769125. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.(^y1.y1)))((a (^z.z))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))(^x2.x2)) REDUCED to normal form. ------ 51808/3769164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 51809/3769308. ------ 1. ==[ start ]==> (((a b) c)(^d.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(^x.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 51810/3769335. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((y y) y))) 3. ==[ beta ]==> (((a a) b)(^y.((y y) y))) 4. ==[ alpha ]==> (((a a) b)(^x.((x x) x))) REDUCED to normal form. ------ 51811/3770118. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y (y y)))) REDUCED to normal form. ------ 51812/3770388. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 51813/3770430. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51814/3770451. ------ 1. ==[ start ]==> (((a a)(b a))(^b.c)) 2. ==[ alpha ]==> (((a a)(b a))(^x.c)) REDUCED to normal form. ------ 51815/3770613. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 51816/3770712. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51817/3770717. ------ 1. ==[ start ]==> (^a.(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 51818/3770718. ------ 1. ==[ start ]==> (a (^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 51819/3770724. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 51820/3770742. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(a a))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(a a))) 3. ==[ beta ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 51821/3770769. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51822/3770778. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 51823/3770796. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 51824/3770823. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 51825/3770850. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51826/3770877. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 51827/3770904. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(a b))) REDUCED to normal form. ------ 51828/3770931. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 51829/3770958. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 51830/3771021. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.y))) REDUCED to normal form. ------ 51831/3771048. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 51832/3771057. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 51833/3771084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51834/3771165. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51835/3771219. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 51836/3771291. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a) a)) 3. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 51837/3771318. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 51838/3771354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51839/3771435. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 51840/3771462. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 51841/3771525. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 51842/3771615. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 51843/3771633. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)((^y.y) a))) 3. ==[ beta ]==> ((b b)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((b b)((a b)((^x.x) a))) 5. ==[ beta ]==> ((b b)((a b) a)) REDUCED to normal form. ------ 51844/3771768. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 51845/3771795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (a ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 51846/3771894. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 51847/3771993. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.b))) REDUCED to normal form. ------ 51848/3772020. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 51849/3772074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 51850/3772101. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a ((a a) a))((a a) b)) REDUCED to normal form. ------ 51851/3772137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 51852/3772191. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 51853/3772272. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 51854/3772308. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 51855/3772335. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 51856/3772362. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 51857/3772389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51858/3772416. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 51859/3772560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 51860/3772587. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 51861/3772614. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 51862/3772623. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 51863/3772704. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((a a) a))) IRREDUCIBLE: cycle. ------ 51864/3772785. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 51865/3772812. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 51866/3772893. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 51867/3772929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((a a) a))) 5. ==[ beta ]==> ((^y.a)(c ((a a) a))) 6. ==[ alpha ]==> ((^x.a)(c ((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51868/3772956. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 51869/3772974. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 51870/3772983. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 51871/3773019. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.b) b)) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 51872/3773172. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(a b))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 51873/3773208. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.y))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 51874/3773217. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 51875/3773244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 51876/3773298. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((^y.(y y))(a (a a))) 8. ==[ alpha ]==> ((^x.(x x))(a (a a))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 51877/3773379. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (b ((^x1.x1)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 51878/3773460. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51879/3773514. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 51880/3773523. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 51881/3773550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(b ((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(b ((a a) a))) 7. ==[ beta ]==> ((b ((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 51882/3773577. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (a b))) REDUCED to normal form. ------ 51883/3773604. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 51884/3773631. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 51885/3773775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 51886/3773802. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 8. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 51887/3773829. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 51888/3773856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 51889/3773883. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 51890/3773919. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 51891/3774054. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51892/3774063. ------ 1. ==[ start ]==> (((a b) c)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(b (^y.y))) 4. ==[ alpha ]==> (((a b) c)(b (^x.x))) REDUCED to normal form. ------ 51893/3774090. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a ((a a) a))) 3. ==[ beta ]==> (((a a) b)(a ((a a) a))) REDUCED to normal form. ------ 51894/3774117. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 51895/3774171. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 51896/3774198. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 51897/3774216. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 51898/3774297. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51899/3774396. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 51900/3774423. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a)) b)) REDUCED to normal form. ------ 51901/3774450. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (a b))(((^y.y) a) c)) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a) c)) 5. ==[ beta ]==> ((a (a b))(a c)) REDUCED to normal form. ------ 51902/3774531. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 51903/3774558. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b) a)((^y.(y y)) b)) 4. ==[ alpha ]==> (((a b) a)((^x.(x x)) b)) 5. ==[ beta ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 51904/3774585. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a) c)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 51905/3774729. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 51906/3774810. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51907/3774873. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a (a a)))) REDUCED to normal form. ------ 51908/3774918. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 51909/3774945. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 51910/3774999. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 51911/3775008. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c b)) REDUCED to normal form. ------ 51912/3775080. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 51913/3775089. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (a a))) REDUCED to normal form. ------ 51914/3775116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 51915/3775143. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 51916/3775188. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 51917/3775206. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.x) c)) 3. ==[ beta ]==> (((a a)(b a)) c) REDUCED to normal form. ------ 51918/3775233. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 51919/3775260. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 51920/3775287. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 51921/3775314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a) b)) 5. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 51922/3775341. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 51923/3775368. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) b)) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 51924/3775395. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.y))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 51925/3775422. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 51926/3775467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51927/3775473. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z)))) a) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 51928/3775475. ------ 1. ==[ start ]==> (^a.(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(x (x (^y.(^z.z))))) REDUCED to normal form. ------ 51929/3775476. ------ 1. ==[ start ]==> (a (a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 51930/3775479. ------ 1. ==[ start ]==> ((^a.a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 51931/3779394. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (a a)))) 3. ==[ eta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 51932/3780225. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51933/3780231. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> ((^x1.x1)(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 51934/3780234. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a)))) a) 2. ==[ alpha ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 51935/3780240. ------ 1. ==[ start ]==> ((^a.a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 51936/3780243. ------ 1. ==[ start ]==> ((a a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 51937/3780249. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51938/3780267. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(a a))) 3. ==[ beta ]==> (((b a)(a a))((b a)(a a))) REDUCED to normal form. ------ 51939/3780294. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 51940/3780375. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((((a a) a)(^y.y))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 51941/3780531. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 51942/3780735. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 51943/3781080. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(b x))) 3. ==[ eta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 51944/3781185. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51945/3781827. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 51946/3782286. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 51947/3782502. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 51948/3782517. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.(((^z.(a a)) a)((^z.(a a)) a))) 4. ==[ alpha ]==> (^x.(((^y.(a a)) a)((^z.(a a)) a))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a)) a))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a)) a))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 51949/3782700. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a b))) REDUCED to normal form. ------ 51950/3782898. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (b (^x1.(^y1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 51951/3782907. ------ 1. ==[ start ]==> (((a b) b)(^b.(a b))) 2. ==[ alpha ]==> (((a b) b)(^x.(a x))) 3. ==[ eta ]==> (((a b) b) a) REDUCED to normal form. ------ 51952/3783096. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 51953/3783438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 51954/3783609. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 51955/3783771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51956/3784050. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 51957/3784155. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(a (a a)))) 3. ==[ eta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 51958/3784158. ------ 1. ==[ start ]==> ((a (b a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (a a)))) REDUCED to normal form. ------ 51959/3784392. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 51960/3784500. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 51961/3784581. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 51962/3784662. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 51963/3784704. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 51964/3784725. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 51965/3784806. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.c)) REDUCED to normal form. ------ 51966/3784860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 51967/3784887. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 51968/3784941. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 51969/3784986. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 51970/3784992. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a a)) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 51971/3784995. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 51972/3785000. ------ 1. ==[ start ]==> (^a.(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 51973/3785001. ------ 1. ==[ start ]==> (a (^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 51974/3785007. ------ 1. ==[ start ]==> ((a a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 51975/3785016. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 51976/3785034. ------ 1. ==[ start ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 51977/3785061. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 51978/3785115. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 51979/3785142. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 51980/3785277. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 51981/3785295. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 51982/3785340. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 51983/3785367. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 51984/3785376. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 51985/3785403. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 51986/3785421. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (a (((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 51987/3785430. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 51988/3785457. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 51989/3785484. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 51990/3785502. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 51991/3785610. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y)) b)) 5. ==[ beta ]==> ((((a a)(^y.y)) b)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 51992/3785637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((^y.y)(a a)) c) 6. ==[ alpha ]==> (((^x.x)(a a)) c) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 51993/3785673. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 51994/3785727. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 51995/3785754. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 51996/3785781. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 51997/3785844. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (b a))) REDUCED to normal form. ------ 51998/3785871. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 51999/3785898. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 52000/3785925. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a b) a)) REDUCED to normal form. ------ 52001/3785952. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 52002/3786051. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(a a)))) REDUCED to normal form. ------ 52003/3786078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 52004/3786123. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 52005/3786159. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 52006/3786177. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 52007/3786186. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 52008/3786420. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 52009/3786510. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (b ((^y.a)(^y.a))) 8. ==[ alpha ]==> (b ((^x.a)(^y.a))) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52010/3786537. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 52011/3786591. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 52012/3786636. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) b)) 7. ==[ beta ]==> ((a a)((^y.(a a)) b)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 52013/3786735. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.x))) REDUCED to normal form. ------ 52014/3786762. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 52015/3786789. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 52016/3786816. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 52017/3786888. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 52018/3786906. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52019/3787050. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 52020/3787068. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (b (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 52021/3787077. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 52022/3787095. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((a b) b)) 3. ==[ beta ]==> ((a b)((a b) b)) REDUCED to normal form. ------ 52023/3787104. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 52024/3787158. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52025/3787185. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52026/3787212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52027/3787239. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52028/3787266. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 52029/3787284. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 52030/3787302. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(a a))) REDUCED to normal form. ------ 52031/3787329. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 52032/3787356. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 9. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 10. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 11. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 52033/3787383. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 52034/3787410. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a (a ((^y.y)(^z.z)))) 10. ==[ alpha ]==> (a (a ((^x.x)(^y.y)))) 11. ==[ beta ]==> (a (a (^y.y))) 12. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 52035/3787437. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 52036/3787455. ------ 1. ==[ start ]==> (((^a.b) b)(b (^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 52037/3787464. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(a b))) REDUCED to normal form. ------ 52038/3787500. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52039/3787527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 52040/3787581. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 52041/3787662. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (b ((a a)(^x1.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 52042/3787671. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a b))) 3. ==[ beta ]==> (((a b) b)(a b)) REDUCED to normal form. ------ 52043/3787698. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 52044/3787716. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a) b)) 5. ==[ beta ]==> ((a a)(((a a) a) b)) REDUCED to normal form. ------ 52045/3787725. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 52046/3787743. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 52047/3787752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 52048/3787806. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 52049/3787860. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 52050/3787878. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 52051/3787950. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 52052/3787977. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (a (a a)))) REDUCED to normal form. ------ 52053/3788004. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 52054/3788031. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 52055/3788103. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52056/3788202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 52057/3788346. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 52058/3788373. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) b)(^y.a)) 6. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 52059/3788418. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 52060/3788481. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 52061/3788535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52062/3788562. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52063/3788580. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 52064/3788589. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 52065/3788616. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 52066/3788643. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 52067/3788787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (a a)))) 7. ==[ beta ]==> ((^y.y)(b (a (a a)))) 8. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 9. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 52068/3788814. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 52069/3788841. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(a a))) 3. ==[ beta ]==> (((a b) a)((a (a a))(a a))) REDUCED to normal form. ------ 52070/3788868. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 52071/3788895. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (^y.y)) a)) REDUCED to normal form. ------ 52072/3788922. ------ 1. ==[ start ]==> ((a (b a))((a a)(a (a a)))) REDUCED to normal form. ------ 52073/3789012. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 52074/3789093. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> (b (((^z.z) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 52075/3789156. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 52076/3789201. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a) b)) 3. ==[ beta ]==> ((b a)((^y.a) b)) 4. ==[ alpha ]==> ((b a)((^x.a) b)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 52077/3789264. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 52078/3789282. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 52079/3789291. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 52080/3789345. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 52081/3789363. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (b (((^y.y) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 52082/3789372. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 52083/3789399. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 52084/3789426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 52085/3789471. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 52086/3789489. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 52087/3789543. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 52088/3789570. ------ 1. ==[ start ]==> (((a (a a))(a b))(a c)) REDUCED to normal form. ------ 52089/3789597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (a a))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 52090/3789624. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 52091/3789651. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 52092/3789678. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(b a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b a)) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 52093/3789705. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 52094/3789750. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52095/3789756. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z)))) b) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 52096/3789759. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 52097/3789767. ------ 1. ==[ start ]==> (^a.((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52098/3789768. ------ 1. ==[ start ]==> (a ((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52099/3789771. ------ 1. ==[ start ]==> ((^a.a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52100/3789780. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52101/3792048. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.((^y1.y1)(x1 x1)))(^x1.((^y1.y1)(x1 x1)))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.((^x1.x1)(z z)))(^y1.((^z1.z1)(y1 y1)))))) 7. ==[ beta ]==> (^x.((^z.((^x1.x1)(z z)))(^y1.((^z1.z1)(y1 y1))))) 8. ==[ alpha ]==> (^x.((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) IRREDUCIBLE: cycle. ------ 52102/3792255. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 5. ==[ beta ]==> ((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 7. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 8. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 9. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 10. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 11. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 12. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 13. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.((^z4.(^x5.(z4 z4)))(^y5.(^z5.(y5 y5)))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^x5.((^y5.(^z5.(y5 y5)))(^y5.(^z5.(y5 y5))))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 52103/3794523. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52104/3794526. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a)))) b) 2. ==[ alpha ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 52105/3794535. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1)))) a) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52106/3794541. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52107/3794544. ------ 1. ==[ start ]==> ((a a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52108/3794550. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52109/3794553. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 52110/3794631. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52111/3794793. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 52112/3794841. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 52113/3795111. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y a))) 3. ==[ beta ]==> ((a (a a))(^y.(y a))) 4. ==[ alpha ]==> ((a (a a))(^x.(x a))) REDUCED to normal form. ------ 52114/3795360. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52115/3795894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 52116/3796251. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 52117/3796431. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.b)(a (^y.y))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 52118/3796587. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 52119/3796818. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((a ((^z.z)(a a)))(a ((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 5. ==[ beta ]==> (^x.((a (a a))(a ((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.((a (a a))(a ((^y.y)(a a))))) 7. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 52120/3796821. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 52121/3797025. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(a a)))(a (^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(a a)))(a (^z.(a a))))) 5. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 52122/3797028. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 52123/3797208. ------ 1. ==[ start ]==> (((a b) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.b))) REDUCED to normal form. ------ 52124/3797415. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 52125/3797595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.b))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.b))) REDUCED to normal form. ------ 52126/3797700. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((^z.a)(a (a a)))((^z.a)(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(a (a a)))((^y.a)(a (a a))))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a)(a (a a))))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a)(a (a a))))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 52127/3798216. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 52128/3798351. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52129/3798456. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(y y)))) 3. ==[ eta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 52130/3798693. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.d)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.d)) REDUCED to normal form. ------ 52131/3798882. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 52132/3799005. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52133/3799053. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 52134/3799107. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 52135/3799161. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52136/3799215. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52137/3799242. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a a))) REDUCED to normal form. ------ 52138/3799287. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52139/3799293. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.x1))) 3. ==[ beta ]==> ((a (^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 52140/3799296. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 52141/3799305. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52142/3799317. ------ 1. ==[ start ]==> ((a a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52143/3799326. ------ 1. ==[ start ]==> ((a (^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 52144/3799335. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 52145/3799353. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 52146/3799380. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 52147/3799407. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 52148/3799461. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52149/3799488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52150/3799515. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 52151/3799542. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 52152/3799569. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 52153/3799614. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52154/3799686. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 52155/3799713. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 52156/3799740. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 52157/3799794. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 52158/3799830. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 52159/3799857. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 52160/3799884. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(b a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 52161/3799902. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a) a)) 3. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 52162/3800136. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 52163/3800226. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a)) c)) 3. ==[ beta ]==> ((b b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) c)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 52164/3800271. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52165/3800298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52166/3800352. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 7. ==[ beta ]==> (((^y.y) a)(a b)) 8. ==[ alpha ]==> (((^x.x) a)(a b)) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 52167/3800406. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 52168/3800442. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 52169/3800469. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 52170/3800496. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 52171/3800523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 52172/3800559. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 52173/3800586. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 52174/3800613. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a b))) 5. ==[ beta ]==> ((a a)((^y.a)(a b))) 6. ==[ alpha ]==> ((a a)((^x.a)(a b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52175/3800640. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 52176/3800667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 52177/3800892. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 52178/3800946. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 52179/3800955. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 52180/3800982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52181/3801027. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 52182/3801126. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.(a a)))) REDUCED to normal form. ------ 52183/3801180. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 52184/3801198. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 52185/3801207. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 52186/3801360. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 52187/3801387. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 52188/3801414. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((a b) b)) REDUCED to normal form. ------ 52189/3801567. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 52190/3801594. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 52191/3801774. ------ 1. ==[ start ]==> (((a b)(a a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.b))) REDUCED to normal form. ------ 52192/3801801. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 52193/3801981. ------ 1. ==[ start ]==> (((a b) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.b))) REDUCED to normal form. ------ 52194/3802008. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b) a)) 3. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 52195/3802035. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a) b)) REDUCED to normal form. ------ 52196/3802062. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) c) REDUCED to normal form. ------ 52197/3802188. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 52198/3802197. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 52199/3802341. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 52200/3802368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (^z.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.b))) 5. ==[ beta ]==> ((a (a a))(a (^y.b))) 6. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 52201/3802413. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 52202/3802422. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 52203/3802449. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 52204/3802476. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 52205/3802647. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 52206/3802728. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 52207/3802755. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 52208/3802764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(c c)) REDUCED to normal form. ------ 52209/3802809. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 52210/3802872. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52211/3802899. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 52212/3802926. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 52213/3802953. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 52214/3802989. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 52215/3803016. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 52216/3803043. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a b))(^y.y)) 8. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 52217/3803070. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 52218/3803097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52219/3803124. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 52220/3803232. ------ 1. ==[ start ]==> ((a (b a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(x x)))) REDUCED to normal form. ------ 52221/3803322. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(c c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 52222/3803511. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 52223/3803538. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 52224/3803601. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 52225/3803655. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 52226/3803682. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 52227/3803709. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 52228/3803781. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 52229/3803799. ------ 1. ==[ start ]==> (((a a)(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 52230/3803826. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 52231/3803853. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 52232/3803880. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.x))) REDUCED to normal form. ------ 52233/3803907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52234/3803934. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 52235/3803961. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 52236/3803988. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 52237/3804015. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 52238/3804060. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52239/3804069. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 52240/3804078. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52241/3804099. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52242/3806367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 52243/3808842. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.a)) 3. ==[ beta ]==> ((^x1.a)(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 52244/3808854. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1)))) b) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52245/3808878. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52246/3808881. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 52247/3808890. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 52248/3808896. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52249/3809121. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(c (^y.(^z.z)))) REDUCED to normal form. ------ 52250/3809160. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(b a))) 3. ==[ beta ]==> ((^y.y)(^z.(b a))) 4. ==[ alpha ]==> ((^x.x)(^y.(b a))) 5. ==[ beta ]==> (^y.(b a)) 6. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 52251/3809193. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.z))) 3. ==[ eta ]==> ((^y.y)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 52252/3809364. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 52253/3809463. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a) a)) 3. ==[ beta ]==> (((b a) a)(((b a) a)((b a) a))) REDUCED to normal form. ------ 52254/3809688. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52255/3809970. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 52256/3810246. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((((a a)(^y.y)) a)(((a a)(^y.y)) a))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 52257/3810483. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 52258/3810759. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 52259/3810933. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 52260/3811146. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(a a)))((^z.z)(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a))))) 5. ==[ beta ]==> (^x.((^z.(a a))((^x1.x1)(^y1.(a a))))) 6. ==[ alpha ]==> (^x.((^y.(a a))((^z.z)(^x1.(a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 52261/3811149. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 52262/3811365. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52263/3811743. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 52264/3811752. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 52265/3812028. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.(x1 x1)))(((^z.z) a)(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> (((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(x x)))(((^y.y) a)(^z.(z z))))(^x1.x1)) 7. ==[ beta ]==> (((a (^x.(x x)))(a (^z.(z z))))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))(^z.z)) REDUCED to normal form. ------ 52266/3812265. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((y y) y))) REDUCED to normal form. ------ 52267/3812400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52268/3813129. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 52269/3813147. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 52270/3813228. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 52271/3813381. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.c)) REDUCED to normal form. ------ 52272/3813435. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52273/3813543. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.z)) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.z)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52274/3813615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52275/3813621. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (((^x1.x1) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 52276/3813624. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 52277/3813633. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52278/3813663. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52279/3813672. ------ 1. ==[ start ]==> (((^a.a) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 52280/3813681. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 52281/3813699. ------ 1. ==[ start ]==> (((a a) a)((b a)(a a))) REDUCED to normal form. ------ 52282/3813726. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 52283/3813753. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 52284/3813780. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 52285/3813807. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 52286/3813834. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 52287/3813861. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 52288/3813888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 52289/3813906. ------ 1. ==[ start ]==> ((a (^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 52290/3813942. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 52291/3813978. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.y))) 3. ==[ beta ]==> ((a a)((b a)(^y.y))) 4. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 52292/3814068. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (a a)))) 5. ==[ beta ]==> (a ((^y.b)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.b)(a (a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 52293/3814149. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 52294/3814167. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 52295/3814248. ------ 1. ==[ start ]==> ((a (a (a a)))((b a) a)) REDUCED to normal form. ------ 52296/3814284. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52297/3814338. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.b)(^z.(z z))) 8. ==[ alpha ]==> ((^x.b)(^y.(y y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 52298/3814392. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52299/3814446. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 52300/3814473. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52301/3814563. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((b b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 52302/3814572. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 52303/3814698. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a)) b)(a (a b))) REDUCED to normal form. ------ 52304/3814725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (a ((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 52305/3814743. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 52306/3814752. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 52307/3814824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 52308/3814896. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 52309/3814950. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 52310/3814977. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 52311/3815031. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 52312/3815067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52313/3815121. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52314/3815202. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 52315/3815229. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52316/3815238. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 52317/3815265. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 52318/3815292. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 52319/3815319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52320/3815346. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 52321/3815517. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 52322/3815544. ------ 1. ==[ start ]==> ((a (a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 52323/3815553. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52324/3815634. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 52325/3815715. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 52326/3815742. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 52327/3815769. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 52328/3815823. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 52329/3815904. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52330/3815913. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (a b))) REDUCED to normal form. ------ 52331/3815931. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 52332/3815949. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 52333/3815976. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 52334/3816102. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (b ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 52335/3816147. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52336/3816174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 52337/3816228. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52338/3816309. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52339/3816363. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 52340/3816390. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52341/3816444. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 13. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 14. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 52342/3816507. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((a a) a))) REDUCED to normal form. ------ 52343/3816525. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 52344/3816534. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 52345/3816561. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 52346/3816597. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 52347/3816732. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 52348/3816759. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 52349/3816786. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 52350/3816813. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 52351/3816849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52352/3816984. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52353/3816993. ------ 1. ==[ start ]==> (((a b) c)(c (a (a a)))) REDUCED to normal form. ------ 52354/3817020. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(b (^y.y))) 6. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 52355/3817047. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 52356/3817101. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 52357/3817128. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 52358/3817182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52359/3817227. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52360/3817326. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 52361/3817353. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 52362/3817380. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a)) b)) 3. ==[ beta ]==> ((a (a b))((a (a a)) b)) REDUCED to normal form. ------ 52363/3817488. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 52364/3817515. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 52365/3817542. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 52366/3817659. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52367/3817740. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52368/3817803. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(b a)) REDUCED to normal form. ------ 52369/3817911. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 52370/3817929. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 52371/3817992. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 52372/3818010. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52373/3818046. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (a a))) 3. ==[ beta ]==> (((a a)(^y.a))(c (a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (a a))) REDUCED to normal form. ------ 52374/3818073. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 52375/3818136. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 52376/3818190. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 52377/3818217. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 52378/3818244. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y)) a)) 5. ==[ beta ]==> (((a a) a)((a (^y.y)) a)) 6. ==[ alpha ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 52379/3818271. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a) b)) REDUCED to normal form. ------ 52380/3818298. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 52381/3818325. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y) b)) 5. ==[ beta ]==> (((a a) a)((^y.y) b)) 6. ==[ alpha ]==> (((a a) a)((^x.x) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 52382/3818352. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 52383/3818397. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52384/3818406. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 52385/3818415. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52386/3818432. ------ 1. ==[ start ]==> (^a.(b (b a))) 2. ==[ alpha ]==> (^x.(b (b x))) REDUCED to normal form. ------ 52387/3818433. ------ 1. ==[ start ]==> (a (b (b a))) REDUCED to normal form. ------ 52388/3818463. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y (^z.(^x1.x1))))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 7. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52389/3823188. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^x1.(x1 x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52390/3823224. ------ 1. ==[ start ]==> ((^a.a)(b (b a))) 2. ==[ alpha ]==> ((^x.x)(b (b a))) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 52391/3823245. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52392/3823251. ------ 1. ==[ start ]==> ((^a.(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 52393/3823254. ------ 1. ==[ start ]==> ((a (a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 52394/3823278. ------ 1. ==[ start ]==> ((^a.b)((b a)(a a))) 2. ==[ alpha ]==> ((^x.b)((b a)(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52395/3823359. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 52396/3823719. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 52397/3823812. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y a))) 3. ==[ beta ]==> ((a a)(^y.(y a))) 4. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 52398/3824091. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) a)) b) 4. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 52399/3824169. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52400/3824838. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52401/3824934. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a) d)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 52402/3825288. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 52403/3825297. ------ 1. ==[ start ]==> (((a b) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 52404/3825522. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 52405/3825708. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a)(a b))((a a)(a b)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a b))((a a)(a b)))) 5. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 52406/3825918. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x)(a a)) a) a) 4. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 52407/3826107. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 52408/3826620. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 52409/3827061. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 52410/3827139. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))((^z.z) a))) 3. ==[ eta ]==> (b ((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 52411/3827511. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 52412/3827583. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 52413/3827592. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 52414/3827688. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52415/3827871. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 52416/3827970. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52417/3827976. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (a a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 52418/3827979. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 52419/3827988. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52420/3828018. ------ 1. ==[ start ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 52421/3828036. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52422/3828045. ------ 1. ==[ start ]==> ((a (a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 52423/3828054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52424/3828072. ------ 1. ==[ start ]==> ((a b)((b a)(a a))) REDUCED to normal form. ------ 52425/3828126. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 52426/3828153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 52427/3828288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 52428/3828315. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(b a))) REDUCED to normal form. ------ 52429/3828351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 52430/3828378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 52431/3828387. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 52432/3828414. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 52433/3828432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(y y)))) 5. ==[ beta ]==> (a ((a b)(^y.(y y)))) 6. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 52434/3828441. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 52435/3828459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 52436/3828495. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 52437/3828513. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 52438/3828603. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(b a))) 3. ==[ beta ]==> ((a a)((^y.y)(b a))) 4. ==[ alpha ]==> ((a a)((^x.x)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 52439/3828621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) a)) 3. ==[ beta ]==> ((^y.(y y))((b a) a)) 4. ==[ alpha ]==> ((^x.(x x))((b a) a)) 5. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 52440/3828648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 52441/3828684. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 52442/3828711. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 52443/3828765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 52444/3828792. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.b)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 52445/3828819. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 52446/3828855. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 52447/3828882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (b a))) REDUCED to normal form. ------ 52448/3828909. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 52449/3828936. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 52450/3828963. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 52451/3829116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 52452/3829170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 52453/3829188. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 52454/3829197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 52455/3829224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((^y.b)((^z.z) a)) 8. ==[ alpha ]==> ((^x.b)((^y.y) a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 52456/3829431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 52457/3829521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52458/3829602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 52459/3829728. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a) d)) 2. ==[ alpha ]==> ((a (^x.b))((^y.a) d)) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 52460/3829746. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (a a))) REDUCED to normal form. ------ 52461/3829773. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 52462/3829800. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 52463/3829827. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 52464/3829854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 52465/3829899. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 52466/3829917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52467/3829998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 52468/3830061. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 52469/3830079. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 52470/3830088. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(a a))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 52471/3830106. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 52472/3830115. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 52473/3830133. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 52474/3830169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 52475/3830196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52476/3830223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52477/3830250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 52478/3830277. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 52479/3830313. ------ 1. ==[ start ]==> (((a a)(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 52480/3830340. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(a a))) REDUCED to normal form. ------ 52481/3830367. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 52482/3830394. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) a)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) a)) 7. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 52483/3830421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))(a (a a)))) 7. ==[ beta ]==> (a ((a (a a))(a (a a)))) REDUCED to normal form. ------ 52484/3830448. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 52485/3830466. ------ 1. ==[ start ]==> (((^a.b) b)(c (^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 52486/3830475. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 52487/3830502. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a b))) 3. ==[ beta ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 52488/3830538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 52489/3830592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 9. ==[ beta ]==> ((^y.y)(^z.a)) 10. ==[ alpha ]==> ((^x.x)(^y.a)) 11. ==[ beta ]==> (^y.a) 12. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 52490/3830673. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 52491/3830682. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 52492/3830709. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 52493/3830727. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(a a))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((a b) a)) 5. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 52494/3830736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 52495/3830754. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 52496/3830763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 52497/3830817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 52498/3830844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 9. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52499/3830871. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 52500/3830898. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.b)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 52501/3830961. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 52502/3830988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (a a)) a)) REDUCED to normal form. ------ 52503/3831015. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 52504/3831042. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 52505/3831069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a)((a a) a))) REDUCED to normal form. ------ 52506/3831114. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52507/3831213. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 52508/3831357. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 52509/3831384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 52510/3831456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52511/3831546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52512/3831591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52513/3831600. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 52514/3831627. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 52515/3831654. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 52516/3831825. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 52517/3831852. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(a (^y.y))) 6. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 52518/3831879. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 52519/3831906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (a (^y.y)))) REDUCED to normal form. ------ 52520/3831933. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (b a))((a (^x.x)) a)) REDUCED to normal form. ------ 52521/3832023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (b (a (^y.(^z.z)))) 8. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 52522/3832104. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 52523/3832167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 52524/3832212. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) a)) 3. ==[ beta ]==> ((b a)((^y.(y y)) a)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 52525/3832239. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52526/3832275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 52527/3832302. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 52528/3832356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52529/3832374. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 52530/3832383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 52531/3832410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 52532/3832437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 52533/3832482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 52534/3832500. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(a a))) REDUCED to normal form. ------ 52535/3832527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 52536/3832581. ------ 1. ==[ start ]==> (((a (a a))(a b))(b b)) REDUCED to normal form. ------ 52537/3832635. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a a))) REDUCED to normal form. ------ 52538/3832662. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 52539/3832689. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 52540/3832716. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 52541/3832761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52542/3832770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 52543/3832779. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52544/3832836. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52545/3833133. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52546/3833403. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y a))) 3. ==[ beta ]==> ((^y.(y a))((^y.(y a))(^y.(y a)))) 4. ==[ alpha ]==> ((^x.(x a))((^y.(y a))(^z.(z a)))) 5. ==[ beta ]==> (((^y.(y a))(^z.(z a))) a) 6. ==[ alpha ]==> (((^x.(x a))(^y.(y a))) a) 7. ==[ beta ]==> (((^y.(y a)) a) a) 8. ==[ alpha ]==> (((^x.(x a)) a) a) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52547/3834186. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.((a a)(^z.z)))(^y.((a a)(^z.z))))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1))))(^y1.((a a)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^y1.((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 52548/3837273. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((^x.(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52549/3837561. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52550/3837615. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52551/3837633. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52552/3837636. ------ 1. ==[ start ]==> ((a (a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52553/3837645. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 52554/3837696. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52555/3837858. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (^x.(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (^x.(a ((^y.y)(a a)))) 7. ==[ beta ]==> (^x.(a (a a))) REDUCED to normal form. ------ 52556/3837930. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52557/3837933. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52558/3838200. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(b a))) 3. ==[ beta ]==> (((^y.y)(b a))(((^y.y)(b a))((^y.y)(b a)))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(b a))((^z.z)(b a)))) 5. ==[ beta ]==> ((b a)(((^y.y)(b a))((^z.z)(b a)))) 6. ==[ alpha ]==> ((b a)(((^x.x)(b a))((^y.y)(b a)))) 7. ==[ beta ]==> ((b a)((b a)((^y.y)(b a)))) 8. ==[ alpha ]==> ((b a)((b a)((^x.x)(b a)))) 9. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 52559/3838203. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x a))) REDUCED to normal form. ------ 52560/3838425. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52561/3838983. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y)((a a)(^z.z)))((^y.y)((a a)(^z.z))))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z)((a a)(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)((a a)(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 52562/3838986. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 52563/3839238. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 52564/3839316. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 52565/3839496. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(a a)) b) 4. ==[ alpha ]==> (((^x.(a a))(a a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 52566/3839679. ------ 1. ==[ start ]==> (((a b) a)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 52567/3839883. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (a b))) 3. ==[ beta ]==> (^y.((b (a b))(b (a b)))) 4. ==[ alpha ]==> (^x.((b (a b))(b (a b)))) REDUCED to normal form. ------ 52568/3839904. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 52569/3840090. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.b))) 3. ==[ beta ]==> ((^y.y)((b (^z.b))(b (^z.b)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.b))(b (^z.b)))) 5. ==[ beta ]==> ((b (^y.b))(b (^z.b))) 6. ==[ alpha ]==> ((b (^x.b))(b (^y.b))) REDUCED to normal form. ------ 52570/3840102. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a b))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52571/3840687. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.b))) REDUCED to normal form. ------ 52572/3840765. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.(z z))((^x1.x1) a))((^z.(z z))((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> (((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))(^y1.y1)) 7. ==[ beta ]==> (((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))(^y1.y1)) 8. ==[ alpha ]==> (((a ((^x.x) a))((^y.(y y))((^z.z) a)))(^x1.x1)) 9. ==[ beta ]==> (((a a)((^y.(y y))((^z.z) a)))(^x1.x1)) 10. ==[ alpha ]==> (((a a)((^x.(x x))((^y.y) a)))(^z.z)) 11. ==[ beta ]==> (((a a)(((^y.y) a)((^y.y) a)))(^z.z)) 12. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))(^z.z)) 13. ==[ beta ]==> (((a a)(a ((^y.y) a)))(^z.z)) 14. ==[ alpha ]==> (((a a)(a ((^x.x) a)))(^y.y)) 15. ==[ beta ]==> (((a a)(a a))(^y.y)) 16. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 52573/3841020. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 52574/3841308. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 52575/3841443. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52576/3841521. ------ 1. ==[ start ]==> ((^a.(b a))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.a))) 3. ==[ eta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 52577/3841803. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(y (y y)))) 3. ==[ beta ]==> ((b a)(^y.(y (y y)))) 4. ==[ alpha ]==> ((b a)(^x.(x (x x)))) REDUCED to normal form. ------ 52578/3841884. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 52579/3841974. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 52580/3842070. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52581/3842073. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 52582/3842145. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.y))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 52583/3842199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 52584/3842253. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52585/3842307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 52586/3842358. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^x1.x1)(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52587/3842361. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 52588/3842370. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52589/3842418. ------ 1. ==[ start ]==> ((a (^a.a))(b (b a))) 2. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 52590/3842436. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52591/3842445. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 52592/3842454. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 52593/3842472. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(a a))) 3. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 52594/3842499. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 52595/3842508. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52596/3842553. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52597/3842580. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52598/3842607. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 52599/3842634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 52600/3842661. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 52601/3842733. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 52602/3842778. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 52603/3842805. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 52604/3842832. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 52605/3842859. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 52606/3842922. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 52607/3842949. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 52608/3842976. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 52609/3843003. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(b a))) 3. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 52610/3843075. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) c)) 5. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 52611/3843228. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 52612/3843318. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 52613/3843363. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52614/3843390. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 52615/3843444. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 52616/3843498. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 52617/3843525. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 52618/3843561. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 52619/3843588. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 52620/3843615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 52621/3843678. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 52622/3843705. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 52623/3843732. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 52624/3843759. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 52625/3843786. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 52626/3844038. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 52627/3844047. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 52628/3844074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52629/3844101. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 52630/3844119. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))(((a a) a) a)) REDUCED to normal form. ------ 52631/3844245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 52632/3844290. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 52633/3844299. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 52634/3844452. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 52635/3844479. ------ 1. ==[ start ]==> (((a b) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 52636/3844506. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 52637/3844560. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 52638/3844659. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 52639/3844686. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (a b))) REDUCED to normal form. ------ 52640/3844704. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 52641/3844866. ------ 1. ==[ start ]==> (((a b)(a a))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.a))) REDUCED to normal form. ------ 52642/3844893. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.b))) 3. ==[ beta ]==> ((a (a a))(b (^y.b))) 4. ==[ alpha ]==> ((a (a a))(b (^x.b))) REDUCED to normal form. ------ 52643/3844902. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a b))) 3. ==[ beta ]==> ((^y.(a a))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52644/3845073. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 52645/3845100. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(^y.b))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 52646/3845127. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b) a)) REDUCED to normal form. ------ 52647/3845154. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a) b)) REDUCED to normal form. ------ 52648/3845280. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 52649/3845316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 52650/3845460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.a))) 5. ==[ beta ]==> ((a (a a))(b (^y.a))) 6. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 52651/3845487. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.b))) REDUCED to normal form. ------ 52652/3845505. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.y))) 3. ==[ beta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 52653/3845514. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 52654/3845541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 52655/3845568. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 52656/3845748. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a) d)) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a) d)) 3. ==[ beta ]==> (((a b) c)(a d)) REDUCED to normal form. ------ 52657/3845820. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 52658/3845847. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52659/3845856. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 52660/3845883. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z)) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y)) c)) 5. ==[ beta ]==> ((a (^x.b))(c c)) REDUCED to normal form. ------ 52661/3845901. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 52662/3845991. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 52663/3846018. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 52664/3846045. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 52665/3846081. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 52666/3846108. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 52667/3846135. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 52668/3846162. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 52669/3846189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 9. ==[ beta ]==> ((^y.a)(^z.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 52670/3846216. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 52671/3846243. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 52672/3846324. ------ 1. ==[ start ]==> ((a (b a))(c (^b.a))) 2. ==[ alpha ]==> ((a (b a))(c (^x.a))) REDUCED to normal form. ------ 52673/3846558. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y)) c)) REDUCED to normal form. ------ 52674/3846603. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (a (a a)))) 3. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 52675/3846630. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 52676/3846666. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 52677/3846684. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 52678/3846747. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 52679/3846765. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 52680/3846774. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 52681/3846801. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 52682/3846828. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 52683/3846873. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 52684/3846891. ------ 1. ==[ start ]==> (((a a)(b a))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.x))) REDUCED to normal form. ------ 52685/3846918. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 52686/3846945. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.a))) 5. ==[ beta ]==> ((a (a a))(a (^y.a))) 6. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 52687/3846972. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 52688/3846999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 52689/3847026. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 52690/3847053. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 52691/3847080. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.y))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 52692/3847107. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 52693/3847152. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52694/3847161. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 52695/3847170. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52696/3851673. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52697/3852054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52698/3852063. ------ 1. ==[ start ]==> (((a a) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 52699/3852069. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52700/3852351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 52701/3852510. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 52702/3852621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y a))) 5. ==[ beta ]==> ((^y.(y a))(^y.(y a))) 6. ==[ alpha ]==> ((^x.(x a))(^y.(y a))) 7. ==[ beta ]==> ((^y.(y a)) a) 8. ==[ alpha ]==> ((^x.(x a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52703/3852834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52704/3852960. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52705/3853647. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52706/3853656. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 52707/3853905. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.z)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.y)) b) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 52708/3854106. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 52709/3854292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.b)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.b)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52710/3854538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 52711/3854727. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)((^y.y)(a a))) a) 4. ==[ beta ]==> (((^y.y)(a a)) a) 5. ==[ alpha ]==> (((^x.x)(a a)) a) 6. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52712/3854925. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(z b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 52713/3855174. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((a (a a))(^z.a))((a (a a))(^z.a)))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.a))((a (a a))(^y.a)))(^z.z)) REDUCED to normal form. ------ 52714/3855429. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 52715/3855591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 52716/3855930. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) c)) 3. ==[ eta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52717/3856104. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 52718/3856212. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 52719/3856302. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 52720/3856479. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52721/3856482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 52722/3856554. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.c)) 5. ==[ beta ]==> ((a (a a))(^y.c)) 6. ==[ alpha ]==> ((a (a a))(^x.c)) REDUCED to normal form. ------ 52723/3856662. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.b)) REDUCED to normal form. ------ 52724/3856716. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 52725/3856761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52726/3856767. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a) a)) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 52727/3856779. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52728/3856845. ------ 1. ==[ start ]==> (((^a.a) a)(b (b a))) 2. ==[ alpha ]==> (((^x.x) a)(b (b a))) 3. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 52729/3856863. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 52730/3856872. ------ 1. ==[ start ]==> (((a a) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 52731/3856881. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 52732/3856899. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 52733/3856926. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 52734/3856953. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52735/3856980. ------ 1. ==[ start ]==> (((a a) b)((a b)(a (a a)))) REDUCED to normal form. ------ 52736/3857007. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.y))) REDUCED to normal form. ------ 52737/3857034. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 52738/3857061. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a b))) REDUCED to normal form. ------ 52739/3857115. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 52740/3857160. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 52741/3857241. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (a ((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 52742/3857268. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 52743/3857322. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52744/3857340. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 52745/3857367. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 52746/3857430. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(b a))) 5. ==[ beta ]==> (((^y.y)(b a))((^y.y)(b a))) 6. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(b a))) 7. ==[ beta ]==> ((b a)((^y.y)(b a))) 8. ==[ alpha ]==> ((b a)((^x.x)(b a))) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 52747/3857511. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52748/3857538. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 52749/3857619. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 52750/3857646. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 52751/3857736. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 52752/3857772. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 52753/3857871. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 52754/3857898. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a b))) 5. ==[ beta ]==> (a (((^y.y) a)(a b))) 6. ==[ alpha ]==> (a (((^x.x) a)(a b))) 7. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 52755/3857925. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 52756/3857943. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 52757/3857952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 52758/3858069. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 52759/3858096. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 52760/3858150. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 52761/3858177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 52762/3858240. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52763/3858294. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.a))) 5. ==[ beta ]==> (a ((^z.b)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.b)(^y.a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 52764/3858402. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52765/3858411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (a b))) REDUCED to normal form. ------ 52766/3858438. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 52767/3858465. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 52768/3858492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52769/3858519. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 52770/3858717. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 52771/3858726. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52772/3858807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) IRREDUCIBLE: cycle. ------ 52773/3858888. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52774/3858915. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 52775/3858942. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52776/3859077. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52777/3859086. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((a a) a))) REDUCED to normal form. ------ 52778/3859104. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 52779/3859149. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 52780/3859176. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 52781/3859275. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 52782/3859320. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.b))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.b))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52783/3859347. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 52784/3859401. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 52785/3859482. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52786/3859536. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a b))) 5. ==[ beta ]==> ((a a)((^y.y)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 52787/3859563. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 52788/3859617. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52789/3859680. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(c (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 52790/3859698. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52791/3859707. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 52792/3859734. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 52793/3859797. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 52794/3859932. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 52795/3859959. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 52796/3859986. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 52797/3860022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52798/3860157. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52799/3860166. ------ 1. ==[ start ]==> (((a b) c)(d ((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(d ((^x.x) a))) 3. ==[ beta ]==> (((a b) c)(d a)) REDUCED to normal form. ------ 52800/3860193. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (a (a a)))) 3. ==[ beta ]==> (((a a) b)(c (a (a a)))) REDUCED to normal form. ------ 52801/3860220. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 52802/3860274. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 52803/3860301. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 52804/3860355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52805/3860382. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 52806/3860400. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 52807/3860499. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 52808/3860526. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 52809/3860553. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a (a b))((^y.y) a)) 6. ==[ alpha ]==> ((a (a b))((^x.x) a)) 7. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 52810/3860580. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 52811/3860688. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 52812/3860715. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(b b)) REDUCED to normal form. ------ 52813/3860742. ------ 1. ==[ start ]==> ((a (b a))((^b.a) c)) 2. ==[ alpha ]==> ((a (b a))((^x.a) c)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 52814/3860832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a a))) 5. ==[ beta ]==> (b ((^z.(z z))(a a))) 6. ==[ alpha ]==> (b ((^x.(x x))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 52815/3860913. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (b ((^z.z)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 52816/3860976. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (a (^y.y)))) REDUCED to normal form. ------ 52817/3861021. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 52818/3861084. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 52819/3861102. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.a))) REDUCED to normal form. ------ 52820/3861111. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a) a)) REDUCED to normal form. ------ 52821/3861165. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 52822/3861183. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 52823/3861192. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b c)) REDUCED to normal form. ------ 52824/3861291. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 52825/3861309. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) a)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 52826/3861336. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 52827/3861390. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 52828/3861417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 52829/3861444. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 52830/3861471. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a) b)) REDUCED to normal form. ------ 52831/3861498. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52832/3861525. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 52833/3861570. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52834/3861579. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 52835/3861588. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52836/3861690. ------ 1. ==[ start ]==> ((^a.b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52837/3866388. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.b)) 3. ==[ beta ]==> ((^x1.b)(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52838/3866478. ------ 1. ==[ start ]==> ((^a.(a a))(b (b a))) 2. ==[ alpha ]==> ((^x.(x x))(b (b a))) 3. ==[ beta ]==> ((b (b a))(b (b a))) REDUCED to normal form. ------ 52839/3866499. ------ 1. ==[ start ]==> (((a a) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52840/3866505. ------ 1. ==[ start ]==> ((^a.b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52841/3866508. ------ 1. ==[ start ]==> ((a b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 52842/3866586. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.z)(a a))((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y) a))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x) a))(^y.y)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52843/3866775. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(b a))) 3. ==[ eta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 52844/3867345. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.y))) b) 4. ==[ beta ]==> ((a (a (^y.y))) b) 5. ==[ alpha ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 52845/3867396. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52846/3868092. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 52847/3868161. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 52848/3868335. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52849/3868542. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 52850/3868551. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 52851/3868776. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 52852/3868935. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((a a) a))((a (^z.z))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((a a) a))((a (^z.z))((a a) a)))) 5. ==[ beta ]==> (((a (^y.y))((a a) a))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 52853/3869172. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 52854/3869361. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 52855/3869550. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 52856/3870036. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 52857/3870315. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 52858/3870366. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(a (^z.z)))) 3. ==[ eta ]==> (b (((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 52859/3870540. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 52860/3870648. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.d)) 3. ==[ beta ]==> ((b a)(^y.d)) 4. ==[ alpha ]==> ((b a)(^x.d)) REDUCED to normal form. ------ 52861/3870846. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 52862/3870936. ------ 1. ==[ start ]==> (((a a)(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 52863/3871125. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 52864/3871197. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52865/3871203. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a b)) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 52866/3871206. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 52867/3871299. ------ 1. ==[ start ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 52868/3871317. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 52869/3871326. ------ 1. ==[ start ]==> ((a b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 52870/3871335. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 52871/3871380. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 52872/3871407. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 52873/3871542. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 52874/3871560. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 52875/3871569. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 52876/3871596. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(b a))) 3. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 52877/3871632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 52878/3871686. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (a ((a a)(^y.a))) 8. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 52879/3871695. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 52880/3871713. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 52881/3871722. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 52882/3871857. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 52883/3871902. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 52884/3871938. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 52885/3871965. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 52886/3871992. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 52887/3872019. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 52888/3872046. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52889/3872073. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 52890/3872136. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((a a)(^y.y)))) REDUCED to normal form. ------ 52891/3872163. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (b a))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (b a))) REDUCED to normal form. ------ 52892/3872190. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 52893/3872217. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 52894/3872226. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52895/3872370. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 52896/3872397. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 52897/3872442. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 52898/3872478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 8. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52899/3872685. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 52900/3872739. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b) c)) 5. ==[ beta ]==> (a ((a b) c)) REDUCED to normal form. ------ 52901/3872775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 52902/3872802. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 52903/3872856. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 52904/3872883. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52905/3872910. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 52906/3872982. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 52907/3873000. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 52908/3873027. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 52909/3873054. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 52910/3873081. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)(a ((a a) a))) REDUCED to normal form. ------ 52911/3873108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 52912/3873135. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 52913/3873153. ------ 1. ==[ start ]==> (((^a.b) a)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 52914/3873171. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 52915/3873252. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 52916/3873315. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 52917/3873333. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 52918/3873342. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 52919/3873360. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 52920/3873369. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 52921/3873387. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 52922/3873423. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 52923/3873477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 52924/3873504. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52925/3873531. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 52926/3873567. ------ 1. ==[ start ]==> (((a a)(a b))(b (a b))) REDUCED to normal form. ------ 52927/3873594. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 52928/3873621. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 52929/3873648. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 52930/3873675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 9. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52931/3873702. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 52932/3873729. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 52933/3873756. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 52934/3873846. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 52935/3873927. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 52936/3873936. ------ 1. ==[ start ]==> (((a b) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 52937/3873963. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 52938/3873981. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.b))) 5. ==[ beta ]==> ((a a)((a a)(^y.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 52939/3873990. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 52940/3874008. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 52941/3874017. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 52942/3874071. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52943/3874098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 9. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 52944/3874125. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 52945/3874152. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52946/3874179. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 52947/3874215. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 52948/3874242. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 52949/3874269. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a ((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 52950/3874296. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 52951/3874323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((a (^x.x))(^z.z))) 8. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 52952/3874350. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)((a a) a))) REDUCED to normal form. ------ 52953/3874368. ------ 1. ==[ start ]==> (((^a.b) c)(a (^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 52954/3874467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 52955/3874602. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 52956/3874611. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b) c)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 52957/3874638. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 52958/3874665. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 52959/3874800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52960/3874827. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 52961/3874854. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 52962/3874881. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 52963/3874908. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 52964/3875106. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (a (a a)))) 3. ==[ beta ]==> (((a b) a)(b (a (a a)))) REDUCED to normal form. ------ 52965/3875133. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 52966/3875160. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 52967/3875187. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a (b a))(a (a (^x.x)))) REDUCED to normal form. ------ 52968/3875277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.z))) 5. ==[ beta ]==> (b ((a (a a))(^z.z))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 52969/3875358. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 52970/3875421. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 52971/3875493. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52972/3875529. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 52973/3875547. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 52974/3875556. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.a))) REDUCED to normal form. ------ 52975/3875610. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 52976/3875628. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 52977/3875637. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 52978/3875664. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 52979/3875691. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 52980/3875754. ------ 1. ==[ start ]==> (((a a)(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(a ((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 52981/3875781. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 52982/3875808. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 52983/3875835. ------ 1. ==[ start ]==> (((a (a a))(a b))(c a)) REDUCED to normal form. ------ 52984/3875862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(b b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 52985/3875916. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (a a))) REDUCED to normal form. ------ 52986/3875943. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 52987/3875970. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 52988/3876015. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 52989/3876024. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 52990/3876033. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52991/3876086. ------ 1. ==[ start ]==> (^a.((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 52992/3876087. ------ 1. ==[ start ]==> (a ((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52993/3876144. ------ 1. ==[ start ]==> ((^a.b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52994/3877980. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 52995/3880842. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(a a))) 3. ==[ beta ]==> ((^x1.(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 52996/3880914. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 52997/3880968. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 52998/3880971. ------ 1. ==[ start ]==> ((a b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 52999/3880980. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 53000/3881004. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53001/3881166. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(a b))) 3. ==[ beta ]==> (^y.((a (a a))(a b))) 4. ==[ alpha ]==> (^x.((a (a a))(a b))) REDUCED to normal form. ------ 53002/3881250. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(b a))) 3. ==[ beta ]==> ((^y.a)(^z.(b a))) 4. ==[ alpha ]==> ((^x.a)(^y.(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 53003/3881508. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))(((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.(^y1.y1))((a a)(^z1.z1)))((^x2.(^y2.y2))((a a)(^z2.z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((a a)(^z1.z1)))((^x2.(^y2.y2))((a a)(^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2))))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53004/3882291. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a))))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a))))((^x2.(^y2.y2))((^z2.z2)(a a)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a))))((^x2.(^y2.y2))((^z2.z2)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(a a))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53005/3882624. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53006/3882804. ------ 1. ==[ start ]==> ((^a.(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 53007/3882807. ------ 1. ==[ start ]==> ((a (a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53008/3883014. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 53009/3883191. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((a a) a))) 3. ==[ beta ]==> (^y.((c ((a a) a))(c ((a a) a)))) 4. ==[ alpha ]==> (^x.((c ((a a) a))(c ((a a) a)))) REDUCED to normal form. ------ 53010/3883239. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 53011/3883437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(a b))) 3. ==[ beta ]==> ((^y.y)(^x1.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 53012/3883635. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 53013/3884022. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 53014/3884073. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a (^y1.y1)))((^z.(^x1.x1))(a (^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53015/3884355. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 53016/3884490. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 53017/3884643. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 53018/3884778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53019/3885138. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 53020/3885309. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 53021/3885378. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53022/3885399. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 53023/3885480. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.x))) REDUCED to normal form. ------ 53024/3885534. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 53025/3885588. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53026/3885666. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^x1.x1)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53027/3885669. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 53028/3885678. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53029/3885744. ------ 1. ==[ start ]==> ((a a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53030/3885780. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 53031/3885798. ------ 1. ==[ start ]==> ((a b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53032/3885807. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 53033/3885816. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 53034/3885834. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 53035/3885888. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53036/3885915. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 53037/3885942. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 53038/3885969. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53039/3885996. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 53040/3886077. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(b a))) 3. ==[ beta ]==> ((^y.a)((a a)(b a))) 4. ==[ alpha ]==> ((^x.a)((a a)(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 53041/3886113. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.y))) REDUCED to normal form. ------ 53042/3886140. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 53043/3886167. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 53044/3886194. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 53045/3886221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 53046/3886257. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 53047/3886284. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(a b))) REDUCED to normal form. ------ 53048/3886311. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 53049/3886338. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 53050/3886410. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 53051/3886581. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 53052/3886698. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53053/3886725. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 53054/3886779. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53055/3886833. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 7. ==[ beta ]==> (((^y.y) a)(a b)) 8. ==[ alpha ]==> (((^x.x) a)(a b)) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 53056/3886860. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 53057/3886923. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 53058/3886950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53059/3886986. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 53060/3887040. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53061/3887067. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 53062/3887094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a b))) 5. ==[ beta ]==> ((a a)((^y.a)(a b))) 6. ==[ alpha ]==> ((a a)((^x.a)(a b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53063/3887121. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 53064/3887373. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 53065/3887436. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 53066/3887454. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(a (^y.y)))) REDUCED to normal form. ------ 53067/3887607. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 53068/3887634. ------ 1. ==[ start ]==> ((a (a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 53069/3887787. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.a))) REDUCED to normal form. ------ 53070/3887814. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 53071/3887841. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 53072/3887895. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 53073/3888021. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 53074/3888039. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 53075/3888066. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a a))) REDUCED to normal form. ------ 53076/3888237. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53077/3888264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 53078/3888408. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 53079/3888462. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.b))) REDUCED to normal form. ------ 53080/3888489. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b) a)) REDUCED to normal form. ------ 53081/3888543. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) c) REDUCED to normal form. ------ 53082/3888615. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 53083/3888822. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.a))) REDUCED to normal form. ------ 53084/3888849. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 53085/3888903. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 53086/3889083. ------ 1. ==[ start ]==> (((a b) c)((a (a a)) c)) REDUCED to normal form. ------ 53087/3889155. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 53088/3889182. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 53089/3889191. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 53090/3889218. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 53091/3889236. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 53092/3889317. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 53093/3889353. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 53094/3889380. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 53095/3889416. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 53096/3889443. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 53097/3889470. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a b))(^y.y)) 8. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 53098/3889497. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 53099/3889524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 11. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53100/3889551. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 53101/3889578. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 53102/3889605. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 53103/3889893. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a b)) REDUCED to normal form. ------ 53104/3889938. ------ 1. ==[ start ]==> (((^a.a)(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b ((^y.y) a))) 3. ==[ beta ]==> ((b a)(b ((^y.y) a))) 4. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 53105/3889965. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 53106/3890001. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 53107/3890019. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 53108/3890028. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 53109/3890082. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 53110/3890100. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 53111/3890109. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 53112/3890136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 53113/3890163. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 53114/3890208. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a (^x1.x1)))) REDUCED to normal form. ------ 53115/3890226. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(b a))(^y.a)) 4. ==[ alpha ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 53116/3890280. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 53117/3890307. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.a))) REDUCED to normal form. ------ 53118/3890334. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 53119/3890361. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 53120/3890388. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 53121/3890415. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 53122/3890442. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 53123/3890487. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53124/3890496. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 53125/3890505. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53126/3895413. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53127/3895470. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53128/3895479. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 53129/3895767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53130/3896037. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 53131/3896223. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53132/3896316. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x)) b) b) 4. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 53133/3896559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 53134/3896781. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a))))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a))))((a (^y1.y1))(^z1.(a a)))) REDUCED to normal form. ------ 53135/3896820. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 53136/3897072. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53137/3897288. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 53138/3897306. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53139/3897522. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 53140/3897681. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.a))((^z.a)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.a))((^x1.a)(^y1.a)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 53141/3898143. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a z))) 3. ==[ eta ]==> (((^x.(^y.y))(a b)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 53142/3898503. ------ 1. ==[ start ]==> (((^a.b) c)(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 53143/3898563. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> (((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> (((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(^x2.x2)) 9. ==[ beta ]==> ((^y.y)(^x2.x2)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53144/3898845. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 53145/3898854. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((z z) z))) REDUCED to normal form. ------ 53146/3898989. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 53147/3899133. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53148/3899319. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y)) b)) 3. ==[ eta ]==> (b ((^y.(y y)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 53149/3899412. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53150/3899628. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 53151/3899868. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53152/3899889. ------ 1. ==[ start ]==> (((a a)(b a))(^c.c)) 2. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 53153/3899970. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.c)) REDUCED to normal form. ------ 53154/3900156. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 53155/3900168. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53156/3900252. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 53157/3900288. ------ 1. ==[ start ]==> (((a a) a)(b (b a))) REDUCED to normal form. ------ 53158/3900306. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53159/3900315. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 53160/3900342. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(a a))) 2. ==[ alpha ]==> (((^x.x) b)((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 53161/3900369. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 53162/3900396. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 53163/3900423. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(a (a a)))) REDUCED to normal form. ------ 53164/3900450. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 53165/3900477. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 53166/3900531. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53167/3900603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53168/3900684. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53169/3900783. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 53170/3900810. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 53171/3900846. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53172/3900873. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53173/3900954. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 53174/3900981. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 53175/3901035. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 53176/3901062. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 53177/3901152. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (b a))) 3. ==[ beta ]==> ((b b)(a (b a))) REDUCED to normal form. ------ 53178/3901287. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a (a a)) b)(^y.y)) 8. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 53179/3901314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))((a a) a))) 5. ==[ beta ]==> (a ((a (a a))((a a) a))) REDUCED to normal form. ------ 53180/3901341. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 53181/3901368. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 53182/3901395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 53183/3901485. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 53184/3901512. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 53185/3901539. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53186/3901593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 53187/3901620. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 53188/3901656. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53189/3901710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53190/3901791. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 53191/3901872. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53192/3901881. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (a a))) REDUCED to normal form. ------ 53193/3901908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53194/3901935. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 53195/3901971. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b) c)) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 53196/3902124. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 53197/3902142. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53198/3902304. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53199/3902331. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 53200/3902358. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53201/3902412. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 53202/3902493. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53203/3902520. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 53204/3902592. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 53205/3902619. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b) b)) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 53206/3902691. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 53207/3902736. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53208/3902763. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 53209/3902817. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 7. ==[ beta ]==> ((^y.b)(a a)) 8. ==[ alpha ]==> ((^x.b)(a a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 53210/3902898. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 53211/3902952. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53212/3902979. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 53213/3903114. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53214/3903123. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 53215/3903150. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 53216/3903186. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 53217/3903213. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 53218/3903240. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 53219/3903339. ------ 1. ==[ start ]==> (((^a.b) c)((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 53220/3903375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 53221/3903402. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 53222/3903438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53223/3903573. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53224/3903654. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 53225/3903690. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 53226/3903717. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 53227/3903771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53228/3903798. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 53229/3903816. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 53230/3903825. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 53231/3903915. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 53232/3903942. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 53233/3903969. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 53234/3903996. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 53235/3904023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) b)) 7. ==[ beta ]==> ((^y.y)((a (a a)) b)) 8. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 9. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 53236/3904131. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 53237/3904158. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(x x)) b)) 3. ==[ beta ]==> ((a (b a))(b b)) REDUCED to normal form. ------ 53238/3904248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 53239/3904329. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53240/3904437. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 53241/3904464. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 53242/3904500. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 53243/3904518. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 53244/3904527. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 53245/3904599. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53246/3904608. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c b)) REDUCED to normal form. ------ 53247/3904635. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b c)) 3. ==[ beta ]==> (((a a)(^y.a))(b c)) 4. ==[ alpha ]==> (((a a)(^x.a))(b c)) REDUCED to normal form. ------ 53248/3904707. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 53249/3904725. ------ 1. ==[ start ]==> (((a a)(b a))((a a) c)) REDUCED to normal form. ------ 53250/3904752. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 53251/3904779. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 53252/3904806. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x) c)) 3. ==[ beta ]==> (((a (a a))(a b)) c) REDUCED to normal form. ------ 53253/3904833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 53254/3904860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 53255/3904887. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 53256/3904914. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a) b)) 5. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 53257/3904941. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 53258/3904986. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53259/3904995. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 53260/3905004. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53261/3906969. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.((^z.z)(a a))) b) 4. ==[ alpha ]==> ((^x.((^y.y)(a a))) b) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53262/3909975. ------ 1. ==[ start ]==> ((^a.b)(b (b a))) 2. ==[ alpha ]==> ((^x.b)(b (b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 53263/3909996. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 53264/3910011. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53265/3910056. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^z.z))(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 53266/3910245. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 53267/3910293. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 53268/3910416. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 53269/3910554. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 53270/3910842. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(b x))) 3. ==[ eta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 53271/3910866. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53272/3911337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53273/3911589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53274/3911631. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53275/3911811. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(a a))) b) 4. ==[ alpha ]==> (((a a)((^x.x)(a a))) b) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 53276/3911814. ------ 1. ==[ start ]==> ((a (a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 53277/3912273. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 53278/3912405. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z.z) a)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 13. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 14. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 53279/3912660. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 53280/3912669. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 53281/3912867. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 53282/3913020. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 53283/3913029. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 53284/3913371. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 53285/3913812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 53286/3913836. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(a a))) 3. ==[ eta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 53287/3914262. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 53288/3914343. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 53289/3914385. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53290/3914433. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 53291/3914487. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 53292/3914568. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.c)) REDUCED to normal form. ------ 53293/3914622. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 53294/3914667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53295/3914673. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b a)) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 53296/3914787. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53297/3914823. ------ 1. ==[ start ]==> ((a b)(b (b a))) REDUCED to normal form. ------ 53298/3914841. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53299/3914859. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 53300/3914877. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(a a))) REDUCED to normal form. ------ 53301/3914904. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 53302/3915039. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 53303/3915066. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 53304/3915093. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 53305/3915138. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53306/3915183. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 53307/3915192. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 53308/3915210. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 53309/3915219. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 53310/3915246. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 53311/3915264. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 53312/3915354. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53313/3915453. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 53314/3915489. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 53315/3915516. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 53316/3915570. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 53317/3915660. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 53318/3915687. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (b a))) REDUCED to normal form. ------ 53319/3915714. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 53320/3915723. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53321/3915750. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53322/3915921. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 53323/3916182. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53324/3916236. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (a (((^z.z)(a a)) b)) 6. ==[ alpha ]==> (a (((^x.x)(a a)) b)) 7. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 53325/3916272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.a))) 5. ==[ beta ]==> (b ((^y.b)(^z.a))) 6. ==[ alpha ]==> (b ((^x.b)(^y.a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 53326/3916353. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 53327/3916380. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 53328/3916407. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 53329/3916479. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 53330/3916497. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 53331/3916524. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 53332/3916551. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 53333/3916578. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 53334/3916605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 53335/3916632. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 53336/3916650. ------ 1. ==[ start ]==> (((^a.b) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 53337/3916659. ------ 1. ==[ start ]==> ((a (a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 53338/3916749. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.a))) IRREDUCIBLE: cycle. ------ 53339/3916812. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((((a a) a) b)(^y.y)) 10. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 53340/3916830. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 53341/3916839. ------ 1. ==[ start ]==> (((a b) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 53342/3916857. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 53343/3916866. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 53344/3916884. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 53345/3916920. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 53346/3916938. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b) b)) REDUCED to normal form. ------ 53347/3916947. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 53348/3916974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 53349/3917001. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 53350/3917028. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 53351/3917064. ------ 1. ==[ start ]==> (((a a)(a b))(c ((a a) a))) REDUCED to normal form. ------ 53352/3917091. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (a b))) REDUCED to normal form. ------ 53353/3917118. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 53354/3917145. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 53355/3917172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> (a (((a a) a)(a (^y.y)))) 8. ==[ alpha ]==> (a (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 53356/3917199. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 53357/3917226. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 53358/3917253. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 53359/3917343. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 53360/3917424. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 53361/3917433. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a b) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 53362/3917460. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 53363/3917487. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 53364/3917505. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 53365/3917514. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 53366/3917559. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) b)) 9. ==[ beta ]==> ((^y.y)(((a a) a) b)) 10. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 11. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 53367/3917568. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 53368/3917595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53369/3917622. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 53370/3917649. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 53371/3917712. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a b))) 3. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 53372/3917739. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 53373/3917766. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a ((a a) a))(a (^y.y))) 8. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 53374/3917793. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 53375/3917820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a (a a)))) REDUCED to normal form. ------ 53376/3917847. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 53377/3917865. ------ 1. ==[ start ]==> (((^a.b) c)(b (^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 53378/3917874. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 53379/3917964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 53380/3918099. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 53381/3918108. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 53382/3918135. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) b)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 53383/3918162. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 53384/3918216. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 53385/3918261. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 53386/3918351. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 53387/3918405. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 53388/3918603. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b) a)(c ((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)(c ((^x.x) a))) 5. ==[ beta ]==> (((a b) a)(c a)) REDUCED to normal form. ------ 53389/3918630. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 53390/3918657. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 53391/3918684. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(a a))) REDUCED to normal form. ------ 53392/3918855. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 53393/3918918. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 53394/3918963. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y)) c)) 3. ==[ beta ]==> ((b a)((a (^y.y)) c)) 4. ==[ alpha ]==> ((b a)((a (^x.x)) c)) REDUCED to normal form. ------ 53395/3919044. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) b)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 53396/3919053. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 53397/3919107. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 53398/3919125. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 53399/3919134. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 53400/3919161. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 53401/3919188. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 53402/3919233. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) b)) REDUCED to normal form. ------ 53403/3919251. ------ 1. ==[ start ]==> (((a a)(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (a (^x.x)))) REDUCED to normal form. ------ 53404/3919278. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 53405/3919305. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 53406/3919332. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 53407/3919386. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b b)) REDUCED to normal form. ------ 53408/3919413. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a c)) REDUCED to normal form. ------ 53409/3919440. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (a a))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 53410/3919467. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 53411/3919512. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53412/3919521. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 53413/3919530. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53414/3919610. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.(x x)))) 3. ==[ beta ]==> (^x.((^z.(x x))(^z.(x x)))) 4. ==[ alpha ]==> (^x.((^y.(x x))(^z.(x x)))) 5. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 53415/3919611. ------ 1. ==[ start ]==> (a ((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53416/3919704. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53417/3924366. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53418/3924459. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a))) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a))) a) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a))) a) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) a) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53419/3924465. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 5. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53420/3924492. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53421/3924555. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53422/3924558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 53423/3924717. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (^x.((^z.z)((a a) a))) 6. ==[ alpha ]==> (^x.((^y.y)((a a) a))) 7. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 53424/3925059. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(a a)))(((^y.a)((^z.z)(a a)))((^y.a)((^z.z)(a a))))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))(((^z.a)((^x1.x1)(a a)))((^y1.a)((^z1.z1)(a a))))) 5. ==[ beta ]==> (a (((^z.a)((^x1.x1)(a a)))((^y1.a)((^z1.z1)(a a))))) 6. ==[ alpha ]==> (a (((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a))))) 7. ==[ beta ]==> (a (a ((^z.a)((^x1.x1)(a a))))) 8. ==[ alpha ]==> (a (a ((^x.a)((^y.y)(a a))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53425/3925842. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(a b))) 3. ==[ beta ]==> ((((^y.a)(a b))((^y.a)(a b)))((^y.a)(a b))) 4. ==[ alpha ]==> ((((^x.a)(a b))((^y.a)(a b)))((^z.a)(a b))) 5. ==[ beta ]==> ((a ((^y.a)(a b)))((^z.a)(a b))) 6. ==[ alpha ]==> ((a ((^x.a)(a b)))((^y.a)(a b))) 7. ==[ beta ]==> ((a a)((^y.a)(a b))) 8. ==[ alpha ]==> ((a a)((^x.a)(a b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53426/3926175. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53427/3926355. ------ 1. ==[ start ]==> ((^a.(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a))) b) 4. ==[ alpha ]==> ((b (^x.(a a))) b) REDUCED to normal form. ------ 53428/3926367. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53429/3926817. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 53430/3927213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.b))) REDUCED to normal form. ------ 53431/3927411. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 53432/3927600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 53433/3928221. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 53434/3928356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53435/3928473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (a a)))) 5. ==[ beta ]==> (b (^z.(a (a a)))) 6. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 53436/3928977. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 53437/3929058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.y))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 53438/3929112. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 53439/3929166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 53440/3929211. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53441/3929217. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 53442/3929220. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 53443/3929310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.z)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53444/3929322. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 53445/3929349. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 53446/3929385. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (b a))) 3. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 53447/3929412. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 53448/3929421. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 53449/3929466. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53450/3929475. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 53451/3929493. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53452/3929520. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 53453/3929547. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 53454/3929574. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 53455/3929655. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 53456/3929682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 53457/3929718. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(^y.y))) 3. ==[ beta ]==> ((a a)((b a)(^y.y))) 4. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 53458/3929745. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 53459/3929772. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 53460/3929799. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 53461/3929862. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 53462/3929889. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 53463/3929907. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 53464/3929916. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 53465/3929988. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a) a)) 3. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 53466/3930015. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 53467/3930159. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 53468/3930186. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 53469/3930276. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53470/3930303. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 53471/3930357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 53472/3930411. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 53473/3930438. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 53474/3930492. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 53475/3930528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 53476/3930564. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 53477/3930591. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 53478/3930645. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 53479/3930672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 53480/3930699. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a b))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 53481/3930825. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b) c)) 3. ==[ beta ]==> (((^y.y) b)((a b) c)) 4. ==[ alpha ]==> (((^x.x) b)((a b) c)) 5. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 53482/3931032. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 53483/3931212. ------ 1. ==[ start ]==> ((a (a b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(a a)))) REDUCED to normal form. ------ 53484/3931221. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.b)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53485/3931365. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 53486/3931392. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) a)(a (^y.a))) 4. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 53487/3931419. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 53488/3931473. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 53489/3931500. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b) b)) REDUCED to normal form. ------ 53490/3931527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a) c)) 5. ==[ beta ]==> ((^y.a)(((a a) a) c)) 6. ==[ alpha ]==> ((^x.a)(((a a) a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 53491/3931617. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 53492/3931644. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 53493/3931671. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 53494/3931815. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53495/3931842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 53496/3931986. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 53497/3932013. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 53498/3932040. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 53499/3932067. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.b))) REDUCED to normal form. ------ 53500/3932121. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 53501/3932265. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.b)) 6. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 53502/3932427. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 53503/3932454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 53504/3932661. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b) c)((^y.y) b)) 4. ==[ alpha ]==> (((a b) c)((^x.x) b)) 5. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 53505/3932688. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a)) c)) 3. ==[ beta ]==> (((a a) b)((a (a a)) c)) REDUCED to normal form. ------ 53506/3932760. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53507/3932796. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 53508/3932814. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 53509/3932850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53510/3932895. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 53511/3932958. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 53512/3932994. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 53513/3933021. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 53514/3933048. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 53515/3933075. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 53516/3933102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53517/3933129. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 53518/3933156. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 53519/3933183. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 53520/3933210. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 53521/3933327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 53522/3933408. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 53523/3933471. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a)) a)) REDUCED to normal form. ------ 53524/3933516. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (a (^y.y)))) 3. ==[ beta ]==> ((b a)(c (a (^y.y)))) 4. ==[ alpha ]==> ((b a)(c (a (^x.x)))) REDUCED to normal form. ------ 53525/3933543. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53526/3933579. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 53527/3933597. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 53528/3933606. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 53529/3933687. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 53530/3933714. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 53531/3933741. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 53532/3933804. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 53533/3933831. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 53534/3933885. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 53535/3933912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.a))) 5. ==[ beta ]==> (((a a) a)(a (^y.a))) 6. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 53536/3933939. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 53537/3933966. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 53538/3933993. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 53539/3934020. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 53540/3934065. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53541/3934074. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 53542/3934083. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53543/3934164. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a a)) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 53544/3934266. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53545/3938928. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> ((^x1.x1)(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53546/3939021. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a))) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a))) b) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a))) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 53547/3939045. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53548/3939126. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53549/3939129. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 53550/3939138. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 53551/3939408. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(b a))) REDUCED to normal form. ------ 53552/3939531. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 53553/3939630. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(a a)))((((^y.y) a)(^z.(a a)))(((^y.y) a)(^z.(a a))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((((^z.z) a)(^x1.(a a)))(((^y1.y1) a)(^z1.(a a))))) 5. ==[ beta ]==> ((a (^y.(a a)))((((^z.z) a)(^x1.(a a)))(((^y1.y1) a)(^z1.(a a))))) 6. ==[ alpha ]==> ((a (^x.(a a)))((((^y.y) a)(^z.(a a)))(((^x1.x1) a)(^y1.(a a))))) 7. ==[ beta ]==> ((a (^x.(a a)))((a (^z.(a a)))(((^x1.x1) a)(^y1.(a a))))) 8. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(a a)))(((^z.z) a)(^x1.(a a))))) 9. ==[ beta ]==> ((a (^x.(a a)))((a (^y.(a a)))(a (^x1.(a a))))) 10. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(a a)))(a (^z.(a a))))) REDUCED to normal form. ------ 53554/3939855. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53555/3940413. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((((^y.y) a)(^z.b))(((^y.y) a)(^z.b)))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b)))(((^y1.y1) a)(^z1.b))) 5. ==[ beta ]==> (((a (^y.b))(((^z.z) a)(^x1.b)))(((^y1.y1) a)(^z1.b))) 6. ==[ alpha ]==> (((a (^x.b))(((^y.y) a)(^z.b)))(((^x1.x1) a)(^y1.b))) 7. ==[ beta ]==> (((a (^x.b))(a (^z.b)))(((^x1.x1) a)(^y1.b))) 8. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))(((^z.z) a)(^x1.b))) 9. ==[ beta ]==> (((a (^x.b))(a (^y.b)))(a (^x1.b))) 10. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))(a (^z.b))) REDUCED to normal form. ------ 53556/3940731. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 53557/3941313. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(((^z.(^x1.x1))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.z)((^z1.(z1 z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.(z z))(^x1.(^y1.y1))))) 9. ==[ beta ]==> (^x.((^z.(z z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53558/3941613. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 53559/3942195. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((((a a) a)(^z.z))(((a a) a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 53560/3942513. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.b))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 53561/3942951. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) a)) 3. ==[ eta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53562/3943296. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 53563/3943377. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 53564/3943395. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 53565/3943500. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53566/3943629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.c)) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.c)) 5. ==[ beta ]==> (((a a) a)(^y.c)) 6. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 53567/3943683. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53568/3943788. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (((^x1.x1) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 53569/3943791. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 53570/3943800. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53571/3943881. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53572/3943911. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 53573/3943938. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 53574/3943974. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (b a))) REDUCED to normal form. ------ 53575/3943992. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 53576/3944001. ------ 1. ==[ start ]==> (((^a.a) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 53577/3944010. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 53578/3944028. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 53579/3944055. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 53580/3944082. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 53581/3944109. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 53582/3944136. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 53583/3944190. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 53584/3944235. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 53585/3944271. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(b a))) REDUCED to normal form. ------ 53586/3944397. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 53587/3944415. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 53588/3944469. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 53589/3944496. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 53590/3944505. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.a)((^z.z)(a a)))((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53591/3944532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53592/3944640. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53593/3944721. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 53594/3944811. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((b b)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 53595/3944946. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 53596/3944973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 53597/3945000. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 53598/3945027. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a b))) REDUCED to normal form. ------ 53599/3945054. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 53600/3945072. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 53601/3945081. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 53602/3945144. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 53603/3945171. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.a))) REDUCED to normal form. ------ 53604/3945198. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 53605/3945225. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 53606/3945279. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.b))) REDUCED to normal form. ------ 53607/3945315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53608/3945369. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 53609/3945477. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53610/3945531. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.b))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53611/3945540. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (a b))) REDUCED to normal form. ------ 53612/3945567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53613/3945594. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 53614/3945630. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 53615/3945657. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 53616/3945783. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(a b))) 3. ==[ beta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 53617/3945801. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53618/3945882. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 53619/3945963. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53620/3945990. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 53621/3946017. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53622/3946071. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 53623/3946152. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53624/3946179. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 53625/3946278. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 53626/3946305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.b) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.b) b)) 7. ==[ beta ]==> (a ((^y.b) b)) 8. ==[ alpha ]==> (a ((^x.b) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 53627/3946350. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53628/3946422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 53629/3946476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 53630/3946557. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 53631/3946611. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53632/3946638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53633/3946692. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 11. ==[ beta ]==> ((^y.b)(^z.z)) 12. ==[ alpha ]==> ((^x.b)(^y.y)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 53634/3946773. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 53635/3946872. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 53636/3946926. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 53637/3946998. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 53638/3947061. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 53639/3947097. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53640/3947232. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53641/3947313. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 53642/3947340. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53643/3947349. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.z))) REDUCED to normal form. ------ 53644/3947376. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(a ((a a) a))) REDUCED to normal form. ------ 53645/3947430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53646/3947457. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 53647/3947475. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 53648/3947484. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 53649/3947511. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 53650/3947574. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 53651/3947601. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.a))) REDUCED to normal form. ------ 53652/3947628. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 53653/3947655. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 53654/3947682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) a)) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 9. ==[ beta ]==> (((^y.y)(^z.z)) a) 10. ==[ alpha ]==> (((^x.x)(^y.y)) a) 11. ==[ beta ]==> ((^y.y) a) 12. ==[ alpha ]==> ((^x.x) a) 13. ==[ beta ]==> a REDUCED to normal form. ------ 53655/3947709. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 53656/3947736. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b) a)(((^y.y) a) c)) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a) c)) 5. ==[ beta ]==> (((a b) a)(a c)) REDUCED to normal form. ------ 53657/3947817. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 53658/3947907. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(z z)))) 5. ==[ beta ]==> (b (b (^z.(z z)))) 6. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 53659/3947988. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53660/3948096. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 53661/3948123. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53662/3948159. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 53663/3948186. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a a))) REDUCED to normal form. ------ 53664/3948240. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 53665/3948258. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 53666/3948294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c b)) 3. ==[ beta ]==> (((a a)(^y.a))(c b)) 4. ==[ alpha ]==> (((a a)(^x.a))(c b)) REDUCED to normal form. ------ 53667/3948321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 53668/3948366. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 53669/3948384. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x)) b)) REDUCED to normal form. ------ 53670/3948438. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) a)) 5. ==[ beta ]==> ((a (a a))((^y.a) a)) 6. ==[ alpha ]==> ((a (a a))((^x.a) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 53671/3948465. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 53672/3948519. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 53673/3948546. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 53674/3948573. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y)) a)) 5. ==[ beta ]==> (((a a) a)((a (^y.y)) a)) 6. ==[ alpha ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 53675/3948600. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 53676/3948645. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53677/3948654. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 53678/3948663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53679/3948744. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.z))) 5. ==[ beta ]==> ((a a)(a (^z.z))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 53680/3949710. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((^x.((^y.y)(^z.z))) b) 4. ==[ beta ]==> ((^y.y)(^z.z)) 5. ==[ alpha ]==> ((^x.x)(^y.y)) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53681/3952680. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 53682/3953610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a))) c) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a))) c) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a))) c) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) c) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 53683/3953688. ------ 1. ==[ start ]==> ((^a.b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(c ((a a)(^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 53684/3953736. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53685/3953745. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 53686/3953769. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((b a)(a a))(^y.y)) 4. ==[ alpha ]==> (((b a)(a a))(^x.x)) REDUCED to normal form. ------ 53687/3953958. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53688/3954033. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53689/3954129. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 53690/3954303. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y a))) 3. ==[ beta ]==> ((a b)(^y.(y a))) 4. ==[ alpha ]==> ((a b)(^x.(x a))) REDUCED to normal form. ------ 53691/3954579. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53692/3954582. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((a ((^x.x)(^y.y))) b) 4. ==[ beta ]==> ((a (^y.y)) b) 5. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 53693/3955329. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53694/3955344. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53695/3955524. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a b)) b) 4. ==[ alpha ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 53696/3955788. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 53697/3956013. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 53698/3956118. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(a (a a)))((a (a a))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(a (a a)))((a (a a))(a (a a))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 53699/3956607. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y b))) REDUCED to normal form. ------ 53700/3957111. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 53701/3957549. ------ 1. ==[ start ]==> ((^a.(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(a ((^y.y)(^z.z)))) 3. ==[ eta ]==> (b (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 53702/3957552. ------ 1. ==[ start ]==> ((a (b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 53703/3957786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 53704/3957894. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 53705/3958002. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 53706/3958098. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53707/3958173. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 53708/3958386. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 53709/3958398. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53710/3958479. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.a)) 5. ==[ beta ]==> ((a a)(^z.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 53711/3958527. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 53712/3958554. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 53713/3958563. ------ 1. ==[ start ]==> ((a b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 53714/3958608. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53715/3958617. ------ 1. ==[ start ]==> (((a a)(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 53716/3958644. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 53717/3958779. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 53718/3958806. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(a b))) REDUCED to normal form. ------ 53719/3958833. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 53720/3958905. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 53721/3958923. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.y))) 5. ==[ beta ]==> (a ((b a)(^y.y))) 6. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 53722/3958950. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 53723/3958986. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 53724/3959004. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 53725/3959094. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(a b))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 53726/3959112. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(a a)))(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 7. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(a a)))) 8. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(a a)))) 10. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 53727/3959139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 53728/3959175. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(b a))) 3. ==[ beta ]==> ((a b)((^y.y)(b a))) 4. ==[ alpha ]==> ((a b)((^x.x)(b a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 53729/3959193. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) a)) 5. ==[ beta ]==> ((^y.y)((b a) a)) 6. ==[ alpha ]==> ((^x.x)((b a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 53730/3959220. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 53731/3959256. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 53732/3959283. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 53733/3959418. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 53734/3959427. ------ 1. ==[ start ]==> (((a (a a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 53735/3959454. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (b a))) 3. ==[ beta ]==> ((a (^y.y))(a (b a))) 4. ==[ alpha ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 53736/3959661. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 53737/3959688. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 53738/3959922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 53739/3959976. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (a (((a a)(^z.z)) a)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 53740/3960012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 53741/3960039. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 53742/3960093. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 53743/3960147. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 53744/3960174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53745/3960219. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 53746/3960237. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 53747/3960264. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a (^z.z)))) REDUCED to normal form. ------ 53748/3960291. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a (a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 53749/3960318. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 53750/3960345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a (a a))(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 53751/3960372. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 53752/3960390. ------ 1. ==[ start ]==> (((^a.b) a)(c (^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 53753/3960399. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(a b))) REDUCED to normal form. ------ 53754/3960489. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 53755/3960552. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 53756/3960570. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 53757/3960579. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b) a)(^y.y)) 10. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 53758/3960597. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 53759/3960606. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 53760/3960624. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 53761/3960660. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 53762/3960678. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 53763/3960687. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 53764/3960714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 53765/3960768. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 53766/3960858. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (a b))) 5. ==[ beta ]==> ((a (^y.y))(b (a b))) 6. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 53767/3960885. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 53768/3960912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(a a))) 5. ==[ beta ]==> (((^y.y) a)((a b)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(a a))) 7. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 53769/3960939. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 53770/3960966. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 53771/3960993. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 53772/3961164. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 53773/3961173. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 53774/3961200. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 53775/3961218. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 53776/3961227. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 53777/3961245. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 53778/3961254. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 53779/3961299. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b) a)) 9. ==[ beta ]==> ((^y.y)((a b) a)) 10. ==[ alpha ]==> ((^x.x)((a b) a)) 11. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 53780/3961308. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 53781/3961362. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 53782/3961389. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 53783/3961416. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 53784/3961452. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 53785/3961479. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (a b))) REDUCED to normal form. ------ 53786/3961506. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 53787/3961533. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 53788/3961560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a (a a))((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((a (a a)) a)) REDUCED to normal form. ------ 53789/3961587. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (a (a a)))) REDUCED to normal form. ------ 53790/3961605. ------ 1. ==[ start ]==> (((^a.b) c)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 53791/3961614. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 53792/3961641. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 53793/3961704. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53794/3961839. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 53795/3961848. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 53796/3961875. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 53797/3961902. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 53798/3961956. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 53799/3961983. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.a)) 6. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 53800/3962091. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 53801/3962118. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 53802/3962235. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c d)) 3. ==[ beta ]==> ((a (a b))(c d)) REDUCED to normal form. ------ 53803/3962397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (a (a a)))) REDUCED to normal form. ------ 53804/3962424. ------ 1. ==[ start ]==> ((a (b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (b a))(a (^y.y))) 4. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 53805/3962595. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 53806/3962658. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (a a))) REDUCED to normal form. ------ 53807/3962703. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a) b)) 3. ==[ beta ]==> ((b a)(((^y.y) a) b)) 4. ==[ alpha ]==> ((b a)(((^x.x) a) b)) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 53808/3962766. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 53809/3962784. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) a)) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 53810/3962847. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 53811/3962874. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 53812/3962901. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 53813/3962928. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 53814/3962973. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 53815/3962991. ------ 1. ==[ start ]==> (((a a)(b a))(c (a a))) REDUCED to normal form. ------ 53816/3963018. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 53817/3963045. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 53818/3963072. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 53819/3963099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 53820/3963153. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b b)) REDUCED to normal form. ------ 53821/3963207. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 53822/3963252. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53823/3963261. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 53824/3963270. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53825/3963351. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z) a)) 5. ==[ beta ]==> ((a a)((^z.z) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53826/3963377. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53827/3963378. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 53828/3965091. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53829/3966540. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((^z.(^x1.b))(^z.(^x1.b)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.b))(^z.(^x1.b)))(^y1.y1)) 5. ==[ beta ]==> ((^y.b)(^y1.y1)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 53830/3967296. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53831/3968259. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53832/3968286. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(a a)))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 9. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 53833/3968313. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 53834/3968349. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53835/3968370. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53836/3968511. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.(((a a) a)(^z.z))) 6. ==[ alpha ]==> (^x.(((a a) a)(^y.y))) REDUCED to normal form. ------ 53837/3968853. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((^y.(y y))(a b))(((^y.(y y))(a b))((^y.(y y))(a b)))) 4. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.(y y))(a b))((^z.(z z))(a b)))) 5. ==[ beta ]==> (((a b)(a b))(((^y.(y y))(a b))((^z.(z z))(a b)))) 6. ==[ alpha ]==> (((a b)(a b))(((^x.(x x))(a b))((^y.(y y))(a b)))) 7. ==[ beta ]==> (((a b)(a b))(((a b)(a b))((^y.(y y))(a b)))) 8. ==[ alpha ]==> (((a b)(a b))(((a b)(a b))((^x.(x x))(a b)))) 9. ==[ beta ]==> (((a b)(a b))(((a b)(a b))((a b)(a b)))) REDUCED to normal form. ------ 53838/3968928. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 53839/3969216. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z))) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53840/3969636. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((^y.(y y))((a a) a))((^y.(y y))((a a) a)))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((((^x.(x x))((a a) a))((^y.(y y))((a a) a)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((((a a) a)((a a) a))((^y.(y y))((a a) a)))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (((((a a) a)((a a) a))((^x.(x x))((a a) a)))((^y.(y y))((a a) a))) 7. ==[ beta ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))((^y.(y y))((a a) a))) 8. ==[ alpha ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))((^x.(x x))((a a) a))) 9. ==[ beta ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 53841/3969969. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53842/3969972. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 53843/3970149. ------ 1. ==[ start ]==> ((^a.(a b))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.b))) 3. ==[ beta ]==> ((c (^y.b)) b) 4. ==[ alpha ]==> ((c (^x.b)) b) REDUCED to normal form. ------ 53844/3970413. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 53845/3970638. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 53846/3970836. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a b))) 5. ==[ beta ]==> ((^y.y)(^y1.(a b))) 6. ==[ alpha ]==> ((^x.x)(^y.(a b))) 7. ==[ beta ]==> (^y.(a b)) 8. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 53847/3971232. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.y))) REDUCED to normal form. ------ 53848/3971418. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a (^z.b))(a (^z.b)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))(^z.z)) REDUCED to normal form. ------ 53849/3971421. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 53850/3971754. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((y y) y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((y y) y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 53851/3972042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 11. ==[ beta ]==> (^x.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53852/3972174. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 53853/3972177. ------ 1. ==[ start ]==> ((a (b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53854/3972411. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 53855/3972519. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.d)) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.d)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.d)) REDUCED to normal form. ------ 53856/3972537. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y (y y)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x (x x)))) REDUCED to normal form. ------ 53857/3972618. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 53858/3972798. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 53859/3972879. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 53860/3972933. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 53861/3973011. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.x1))) 3. ==[ beta ]==> ((b (^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 53862/3973104. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z z))) 5. ==[ beta ]==> ((a a)(^z.(z z))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 53863/3973143. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53864/3973170. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 53865/3973197. ------ 1. ==[ start ]==> ((a b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 53866/3973233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 53867/3973251. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 53868/3973269. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53869/3973287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53870/3973314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 53871/3973341. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 53872/3973368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 53873/3973395. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 53874/3973476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 53875/3973503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 53876/3973566. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 53877/3973593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 53878/3973620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 53879/3973656. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 53880/3973710. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 53881/3973728. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(^y.b))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 53882/3973737. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(a b))) REDUCED to normal form. ------ 53883/3973836. ------ 1. ==[ start ]==> (((a (a a)) a)((b a) a)) REDUCED to normal form. ------ 53884/3973863. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 53885/3973890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) c)) REDUCED to normal form. ------ 53886/3973980. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 53887/3974007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.b))) 7. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 53888/3974034. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 53889/3974097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53890/3974124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 53891/3974178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a b)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 53892/3974232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53893/3974259. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 53894/3974313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 53895/3974412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 53896/3974439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 53897/3974493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 53898/3974520. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 53899/3974646. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (b (((^y.y)(a a)) b)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 7. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 53900/3974673. ------ 1. ==[ start ]==> ((((a a) a) a)((a b) c)) REDUCED to normal form. ------ 53901/3974853. ------ 1. ==[ start ]==> ((a (^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 53902/3975033. ------ 1. ==[ start ]==> ((a (a b))(c (^a.b))) 2. ==[ alpha ]==> ((a (a b))(c (^x.b))) REDUCED to normal form. ------ 53903/3975042. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 53904/3975186. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) b)(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a) b)(^x.(x x))) REDUCED to normal form. ------ 53905/3975213. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 53906/3975240. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 53907/3975294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 53908/3975321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 53909/3975348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b) b)) 5. ==[ beta ]==> ((^y.a)((a b) b)) 6. ==[ alpha ]==> ((^x.a)((a b) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 53910/3975438. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 53911/3975465. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 53912/3975492. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 53913/3975519. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 53914/3975591. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 53915/3975636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53916/3975663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 53917/3975717. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a b))) 5. ==[ beta ]==> ((^y.y)((a a)(a b))) 6. ==[ alpha ]==> ((^x.x)((a a)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 53918/3975807. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) b)(^y.a)) 6. ==[ alpha ]==> (((a b) b)(^x.a)) REDUCED to normal form. ------ 53919/3975834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 53920/3975861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 53921/3975888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 53922/3975942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 53923/3975969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a) b)) 5. ==[ beta ]==> ((^y.(y y))(((a a) a) b)) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a) b)) 7. ==[ beta ]==> ((((a a) a) b)(((a a) a) b)) REDUCED to normal form. ------ 53924/3975996. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) c)) 5. ==[ beta ]==> ((((a a) a)(^x.a)) c) REDUCED to normal form. ------ 53925/3976113. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.b)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 53926/3976248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 53927/3976275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 53928/3976302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 53929/3976482. ------ 1. ==[ start ]==> (((a b) c)(((a a) a) a)) REDUCED to normal form. ------ 53930/3976509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)((^y.y) b)) 6. ==[ alpha ]==> (((a a) b)((^x.x) b)) 7. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 53931/3976635. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a ((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 53932/3976671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53933/3976716. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 53934/3976815. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 53935/3976842. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 53936/3976869. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 53937/3976896. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 53938/3976923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53939/3976950. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 53940/3976977. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b) a)(^y.y)) 8. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 53941/3977004. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 53942/3977031. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 53943/3977058. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 53944/3977148. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 53945/3977292. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(y y)))) REDUCED to normal form. ------ 53946/3977418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(a (a (a a)))) REDUCED to normal form. ------ 53947/3977427. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 53948/3977481. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 53949/3977499. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (b ((a a)((^y.y) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 53950/3977535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 53951/3977562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 53952/3977625. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 53953/3977652. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 53954/3977679. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 53955/3977706. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.x))) REDUCED to normal form. ------ 53956/3977733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 53957/3977760. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 53958/3977787. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 53959/3977814. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 53960/3977841. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 53961/3977886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53962/3977895. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 53963/3977904. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53964/3977985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 53965/3979734. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53966/3982488. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53967/3982920. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53968/3983040. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 53969/3983046. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1))) a)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53970/3983328. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 53971/3983406. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 53972/3983505. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(^y.b))(((a (a a))(^y.b))((a (a a))(^y.b)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(((a (a a))(^y.b))((a (a a))(^z.b)))) REDUCED to normal form. ------ 53973/3983598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z a))) 5. ==[ beta ]==> ((^y.y)(^z.(z a))) 6. ==[ alpha ]==> ((^x.x)(^y.(y a))) 7. ==[ beta ]==> (^y.(y a)) 8. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 53974/3983730. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53975/3984381. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (a (^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 53976/3984621. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 53977/3984624. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 53978/3985083. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 53979/3985188. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.(x2 x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(y1 y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53980/3985704. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(^z.z))) a) 4. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z))) a) 5. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) a) 6. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) a) 7. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) a) 8. ==[ beta ]==> (((^y.y)(^z.z)) a) 9. ==[ alpha ]==> (((^x.x)(^y.y)) a) 10. ==[ beta ]==> ((^y.y) a) 11. ==[ alpha ]==> ((^x.x) a) 12. ==[ beta ]==> a REDUCED to normal form. ------ 53981/3986244. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 53982/3986406. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 53983/3987189. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 53984/3987198. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 53985/3987279. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 53986/3987375. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 53987/3987378. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 53988/3987531. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.c)) REDUCED to normal form. ------ 53989/3987657. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 53990/3987663. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^x1.(^y1.y1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 53991/3987756. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 53992/3987813. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 53993/3987840. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 53994/3987867. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 53995/3987903. ------ 1. ==[ start ]==> (((^a.a) b)(b (b a))) 2. ==[ alpha ]==> (((^x.x) b)(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 53996/3987930. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 53997/3987939. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 53998/3987957. ------ 1. ==[ start ]==> (((a a) b)((b a)(a a))) REDUCED to normal form. ------ 53999/3987984. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 54000/3988011. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 54001/3988038. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a (a a)))) REDUCED to normal form. ------ 54002/3988092. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 54003/3988173. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 54004/3988200. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(b a))) 3. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 54005/3988218. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 54006/3988299. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 54007/3988317. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 54008/3988344. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 54009/3988398. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.b))) REDUCED to normal form. ------ 54010/3988407. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a b))) 5. ==[ beta ]==> (((^y.(y y))(a b))((^y.(y y))(a b))) 6. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a b))) 7. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a b))) 8. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a b))) 9. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 54011/3988434. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54012/3988488. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54013/3988596. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 54014/3988623. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 54015/3988713. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)(c (a a))) REDUCED to normal form. ------ 54016/3988848. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) b)((a b) a)) REDUCED to normal form. ------ 54017/3988875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (a (((a a) a)(a (a a)))) REDUCED to normal form. ------ 54018/3988902. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 54019/3988929. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 54020/3988956. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.a))(a (a b))) REDUCED to normal form. ------ 54021/3988983. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 54022/3989010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 54023/3989046. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 54024/3989073. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 54025/3989100. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.a))) 5. ==[ beta ]==> ((a a)((a b)(^y.a))) 6. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 54026/3989127. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 54027/3989154. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 54028/3989217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54029/3989271. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 54030/3989352. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 54031/3989496. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b (a a))) REDUCED to normal form. ------ 54032/3989514. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 54033/3989559. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 54034/3989586. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b) c)) 3. ==[ beta ]==> ((a (a (a a)))((^y.b) c)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b) c)) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 54035/3989685. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 54036/3989703. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.b))) 3. ==[ beta ]==> ((^y.b)(c (^z.b))) 4. ==[ alpha ]==> ((^x.b)(c (^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 54037/3989784. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(a a))) IRREDUCIBLE: cycle. ------ 54038/3989865. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54039/3989892. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 54040/3989919. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54041/3989973. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 54042/3990054. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54043/3990081. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 54044/3990207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a)) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) a)) 7. ==[ beta ]==> (a ((^y.(a a)) a)) 8. ==[ alpha ]==> (a ((^x.(a a)) a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 54045/3990234. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 54046/3990252. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 54047/3990261. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) c)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 54048/3990378. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.b))) 5. ==[ beta ]==> ((^y.y)(b (^y1.b))) 6. ==[ alpha ]==> ((^x.x)(b (^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 54049/3990459. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54050/3990513. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 7. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 54051/3990540. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54052/3990594. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a b))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 11. ==[ beta ]==> ((^y.y)(a b)) 12. ==[ alpha ]==> ((^x.x)(a b)) 13. ==[ beta ]==> (a b) REDUCED to normal form. ------ 54053/3990675. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54054/3990801. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.b) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b) a)) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 54055/3990855. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 54056/3990900. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 54057/3990999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54058/3991134. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 54059/3991215. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 54060/3991242. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54061/3991251. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 54062/3991278. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 54063/3991332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54064/3991359. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 54065/3991386. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 54066/3991413. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 54067/3991440. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 54068/3991476. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 54069/3991503. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 54070/3991530. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (a b))(a (^y.a))) 6. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 54071/3991557. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 54072/3991584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 54073/3991611. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 54074/3991638. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a)) b)) 3. ==[ beta ]==> (((a b) a)((a (a a)) b)) REDUCED to normal form. ------ 54075/3991809. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.a))) 5. ==[ beta ]==> (b (c (^z.a))) 6. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 54076/3991890. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (b ((^z.(z z))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 54077/3991998. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((b a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 54078/3992025. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54079/3992061. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 54080/3992079. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(y y))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(x x))) REDUCED to normal form. ------ 54081/3992088. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 54082/3992142. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 54083/3992160. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 54084/3992169. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 54085/3992268. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 54086/3992286. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a) a)) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 54087/3992313. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 54088/3992367. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 54089/3992394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54090/3992448. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 54091/3992475. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54092/3992502. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 54093/3992547. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54094/3992556. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 54095/3992565. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54096/3992646. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54097/3992829. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^z.(z (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((^x1.x1)(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54098/3997446. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^x1.(x1 (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54099/3997719. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 54100/3997725. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 54101/3997728. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 54102/3997914. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(a b))) 3. ==[ eta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 54103/3998016. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 54104/3998085. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 54105/3998286. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(b a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x a))) REDUCED to normal form. ------ 54106/3998535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54107/3999060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54108/3999321. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 54109/3999480. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((a a) a)) b) 4. ==[ alpha ]==> ((((^x.x) a)((a a) a)) b) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 54110/3999771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 54111/3999996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (a (^y.((^z.z)(y y)))) 8. ==[ alpha ]==> (a (^x.((^y.y)(x x)))) 9. ==[ beta ]==> (a (^x.(x x))) REDUCED to normal form. ------ 54112/4000074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((^y1.y1) a))(((^z.z)(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 9. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 10. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 12. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 13. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 14. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 15. ==[ beta ]==> (a ((^y.y) a)) 16. ==[ alpha ]==> (a ((^x.x) a)) 17. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54113/4000392. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 54114/4000590. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(y b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(y b))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(x b))) REDUCED to normal form. ------ 54115/4000749. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a)((a a) a))((a a)((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((a a)((a a) a))((a a)((a a) a)))(^x.x)) REDUCED to normal form. ------ 54116/4000923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 54117/4000932. ------ 1. ==[ start ]==> (((a b) c)(^b.((a a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a) a))) REDUCED to normal form. ------ 54118/4001505. ------ 1. ==[ start ]==> ((^a.(b a))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (a (a a)))) 3. ==[ eta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 54119/4001868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.d)) 3. ==[ beta ]==> (((a b)(a b))(^y.d)) 4. ==[ alpha ]==> (((a b)(a b))(^x.d)) REDUCED to normal form. ------ 54120/4001877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 54121/4001985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 54122/4002054. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54123/4002156. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 54124/4002336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54125/4002342. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 54126/4002345. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 54127/4002435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.a)) 5. ==[ beta ]==> ((a a)(^z.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 54128/4002510. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 54129/4002537. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 54130/4002564. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 54131/4002600. ------ 1. ==[ start ]==> (((a a)(a a))(b (b a))) REDUCED to normal form. ------ 54132/4002618. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54133/4002627. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 54134/4002636. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54135/4002762. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 54136/4002789. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 54137/4002816. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a b))) 3. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 54138/4002861. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 54139/4002915. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 54140/4002933. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 54141/4002987. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 54142/4003077. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54143/4003095. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.b))) 5. ==[ beta ]==> (((a (a a))(^y.b))((a (a a))(^y.b))) 6. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 54144/4003122. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 54145/4003158. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 54146/4003185. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(b a))) 3. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 54147/4003203. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a) a)) 3. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 54148/4003230. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 54149/4003239. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 54150/4003266. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54151/4003293. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 54152/4003401. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 54153/4003437. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 54154/4003527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 7. ==[ beta ]==> ((^y.(a a)) c) 8. ==[ alpha ]==> ((^x.(a a)) c) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54155/4003698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 54156/4003905. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 54157/4003959. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54158/4003995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54159/4004022. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 54160/4004040. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b) c)) 3. ==[ beta ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 54161/4004076. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 54162/4004103. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 54163/4004130. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 54164/4004157. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54165/4004184. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54166/4004220. ------ 1. ==[ start ]==> (((a a)((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 54167/4004247. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 54168/4004274. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 54169/4004301. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) a)(((a a) a) a)) REDUCED to normal form. ------ 54170/4004328. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 9. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 54171/4004355. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 54172/4004382. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((a (a b))(a ((a a) a))) REDUCED to normal form. ------ 54173/4004472. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.x1))) IRREDUCIBLE: cycle. ------ 54174/4004535. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 54175/4004553. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 54176/4004562. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 54177/4004580. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 54178/4004589. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 54179/4004643. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 54180/4004661. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(a a)))) REDUCED to normal form. ------ 54181/4004670. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 54182/4004697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54183/4004724. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 54184/4004742. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 54185/4004751. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 54186/4004868. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (a b))) REDUCED to normal form. ------ 54187/4004895. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 54188/4004922. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 54189/4004949. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 54190/4004976. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 54191/4005147. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54192/4005156. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 54193/4005183. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54194/4005201. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 54195/4005210. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 54196/4005228. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 54197/4005237. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 54198/4005282. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.b))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.b))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 11. ==[ beta ]==> ((a a)(^y.b)) 12. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 54199/4005291. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 54200/4005318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.z))) 7. ==[ beta ]==> (((^y.b)(^z.z))((^y.b)(^z.z))) 8. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.x1))) 9. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 10. ==[ alpha ]==> (b ((^x.b)(^y.y))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54201/4005345. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 54202/4005363. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 54203/4005372. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 54204/4005399. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 54205/4005462. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((a a) a))) REDUCED to normal form. ------ 54206/4005489. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a (a b))) 3. ==[ beta ]==> ((a ((a a) a))(a (a b))) REDUCED to normal form. ------ 54207/4005516. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 54208/4005543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((a (a a))(a (^y.y))) 10. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 54209/4005570. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((((a a) a) a)((a (a a)) a)) REDUCED to normal form. ------ 54210/4005588. ------ 1. ==[ start ]==> (((^a.b) c)(d (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.(y y)))) 3. ==[ beta ]==> (b (d (^y.(y y)))) 4. ==[ alpha ]==> (b (d (^x.(x x)))) REDUCED to normal form. ------ 54211/4005597. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 54212/4005624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 54213/4005651. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 54214/4005687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54215/4005822. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 54216/4005831. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((a a) a))) 3. ==[ beta ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 54217/4005858. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 54218/4005885. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 54219/4005939. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 54220/4005966. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 54221/4006065. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 54222/4006128. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 54223/4006407. ------ 1. ==[ start ]==> ((a (b a))(b (a (a a)))) REDUCED to normal form. ------ 54224/4006497. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) c)) 5. ==[ beta ]==> (b ((^z.a) c)) 6. ==[ alpha ]==> (b ((^x.a) c)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54225/4006578. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (b ((a (a a))(^z.z))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 54226/4006641. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 54227/4006686. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a)) a)) 3. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 54228/4006713. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 54229/4006749. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 54230/4006776. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(z z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y y))) REDUCED to normal form. ------ 54231/4006830. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 54232/4006848. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54233/4006857. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 54234/4006884. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 54235/4006911. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 54236/4006956. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 54237/4007028. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 54238/4007055. ------ 1. ==[ start ]==> (((a (a a))(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(a ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 54239/4007082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 54240/4007109. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 54241/4007136. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c a)) REDUCED to normal form. ------ 54242/4007163. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(b b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 54243/4007235. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54244/4007244. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 54245/4007253. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54246/4007334. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a) a)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 54247/4007526. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^z.(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54248/4012143. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54249/4012323. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54250/4012350. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 54251/4012431. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.z)(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54252/4012434. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 54253/4012443. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54254/4012548. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.((a b)(a (a a)))) 4. ==[ alpha ]==> (^x.((a b)(a (a a)))) REDUCED to normal form. ------ 54255/4012890. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))((a a) a))(((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54256/4013280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(z z))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 54257/4013673. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1))))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54258/4014006. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 54259/4014027. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54260/4014702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 7. ==[ beta ]==> (a (^y.(^z.(a a)))) 8. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 54261/4015098. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 54262/4015296. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 54263/4015455. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((b (^z.a))(b (^z.a)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(^z.z)) REDUCED to normal form. ------ 54264/4015638. ------ 1. ==[ start ]==> (((a b) c)(^c.(^c.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 54265/4016106. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 54266/4016211. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54267/4016583. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.d)) REDUCED to normal form. ------ 54268/4016760. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54269/4016781. ------ 1. ==[ start ]==> (((a a)(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 54270/4016862. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.a))) REDUCED to normal form. ------ 54271/4016943. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 54272/4016997. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 54273/4017048. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.x1)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54274/4017051. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 54275/4017060. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54276/4017141. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.b)) 5. ==[ beta ]==> ((a a)(^z.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 54277/4017234. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 54278/4017261. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 54279/4017342. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 54280/4017351. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54281/4017360. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 54282/4017378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 54283/4017405. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 54284/4017432. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 54285/4017459. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 54286/4017540. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.a)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 54287/4017567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 54288/4017621. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> (((^y.y) a)((a a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(b a))) 5. ==[ beta ]==> (a ((a a)(b a))) REDUCED to normal form. ------ 54289/4017657. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.x1))) REDUCED to normal form. ------ 54290/4017684. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 54291/4017720. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 54292/4017747. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 54293/4017801. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 54294/4017873. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 54295/4017927. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 54296/4017954. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 54297/4018071. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 54298/4018098. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 54299/4018125. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 54300/4018161. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54301/4018188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 54302/4018242. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 8. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 54303/4018251. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 54304/4018296. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 54305/4018323. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54306/4018377. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 54307/4018503. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 54308/4018530. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 54309/4018584. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 54310/4018710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (b (((a a)(^y.y)) a)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 54311/4018737. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((((a a) a) a)((a a) b)) REDUCED to normal form. ------ 54312/4018917. ------ 1. ==[ start ]==> ((a (^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(b (a a))) REDUCED to normal form. ------ 54313/4019106. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 54314/4019250. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 54315/4019277. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b) a)(^y.(y y))) 6. ==[ alpha ]==> (((a b) a)(^x.(x x))) REDUCED to normal form. ------ 54316/4019304. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 54317/4019358. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 54318/4019385. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 54319/4019412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54320/4019439. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 54321/4019466. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) c)) REDUCED to normal form. ------ 54322/4019502. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 54323/4019529. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 54324/4019556. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 54325/4019583. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 54326/4019610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 54327/4019655. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54328/4019700. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54329/4019727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 54330/4019781. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a (^y.y))((a a) a)) 8. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 54331/4019871. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54332/4019898. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 54333/4019925. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 54334/4019952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 54335/4020006. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 54336/4020033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) a)) 5. ==[ beta ]==> ((^y.(y y))((a b) a)) 6. ==[ alpha ]==> ((^x.(x x))((a b) a)) 7. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 54337/4020060. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a) b)) REDUCED to normal form. ------ 54338/4020087. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) c)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 54339/4020150. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 54340/4020177. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 54341/4020204. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a ((a a) a))(^y.b)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 54342/4020303. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y)) d)) 3. ==[ beta ]==> (b ((^y.(y y)) d)) 4. ==[ alpha ]==> (b ((^x.(x x)) d)) 5. ==[ beta ]==> (b (d d)) REDUCED to normal form. ------ 54343/4020366. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 54344/4020546. ------ 1. ==[ start ]==> (((a b) c)((a a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.a))) REDUCED to normal form. ------ 54345/4020573. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a) a)) 3. ==[ beta ]==> (((a a) b)(((a a) a) a)) REDUCED to normal form. ------ 54346/4020600. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 54347/4020699. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 54348/4020735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54349/4020762. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 54350/4020780. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 54351/4020789. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(c c)) REDUCED to normal form. ------ 54352/4020906. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 54353/4020933. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (a b))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 54354/4020960. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 54355/4020987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54356/4021014. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 54357/4021041. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 54358/4021068. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 54359/4021095. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 54360/4021122. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 54361/4021212. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (b (((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> (b (a (a (^y.y)))) 8. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 54362/4021356. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 54363/4021464. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 54364/4021482. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(b ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))(b a)) REDUCED to normal form. ------ 54365/4021545. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 54366/4021563. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 54367/4021572. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 54368/4021626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 54369/4021671. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b c)) REDUCED to normal form. ------ 54370/4021689. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(b a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 54371/4021716. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 54372/4021743. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 54373/4021770. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 54374/4021824. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 54375/4021851. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 54376/4021878. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54377/4021905. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 54378/4021950. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54379/4021959. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 54380/4021968. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54381/4022049. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 54382/4027119. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54383/4027176. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54384/4027185. ------ 1. ==[ start ]==> (((a a) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 54385/4027455. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(b a))) REDUCED to normal form. ------ 54386/4027473. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 54387/4027743. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y a))) 3. ==[ beta ]==> ((a (a a))(^y.(y a))) 4. ==[ alpha ]==> ((a (a a))(^x.(x a))) REDUCED to normal form. ------ 54388/4027848. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54389/4028406. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))) 5. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))(((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))) 6. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))) 7. ==[ beta ]==> (((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))(((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))) 8. ==[ alpha ]==> (((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 9. ==[ beta ]==> ((^y.y)(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 15. ==[ beta ]==> (^y.(^z.z)) 16. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54390/4028739. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 54391/4029306. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.a))((^z.a)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.a))((^x1.a)(^y1.a)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 54392/4030227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 54393/4030560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1) x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54394/4031118. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54395/4031226. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (a a)))) 3. ==[ beta ]==> ((b a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 54396/4031424. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 54397/4031493. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54398/4031514. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 54399/4031595. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 54400/4031676. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.c)) REDUCED to normal form. ------ 54401/4031781. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a) b)) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 54402/4031793. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54403/4031874. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a a))) 5. ==[ beta ]==> ((a a)(^z.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 54404/4031985. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54405/4032012. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 54406/4032039. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 54407/4032048. ------ 1. ==[ start ]==> (((^a.a) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(c ((a a)(^y.y)))) 3. ==[ beta ]==> (b (c ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 54408/4032075. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 54409/4032093. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54410/4032102. ------ 1. ==[ start ]==> (((a a) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 54411/4032129. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(a a))) REDUCED to normal form. ------ 54412/4032156. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 54413/4032183. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 54414/4032237. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54415/4032318. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 54416/4032345. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 54417/4032372. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(b a))) REDUCED to normal form. ------ 54418/4032390. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54419/4032462. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 54420/4032489. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 54421/4032516. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54422/4032552. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54423/4032579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 54424/4032633. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54425/4032660. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(b a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 54426/4032741. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 54427/4032768. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 54428/4032903. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54429/4032993. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 54430/4033020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y) a))) 5. ==[ beta ]==> (a ((a b)((^y.y) a))) 6. ==[ alpha ]==> (a ((a b)((^x.x) a))) 7. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 54431/4033047. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 54432/4033074. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 54433/4033101. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 54434/4033128. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 54435/4033155. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 54436/4033218. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 54437/4033245. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54438/4033272. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 54439/4033299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 54440/4033326. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 54441/4033362. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 54442/4033416. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 54443/4033497. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 54444/4033524. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 54445/4033578. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54446/4033659. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 54447/4033731. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a)) b)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) b)) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 54448/4033758. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b) c)) 3. ==[ beta ]==> (((a (a a)) a)((^y.b) c)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b) c)) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 54449/4033830. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 54450/4034010. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54451/4034037. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 54452/4034064. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54453/4034118. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 54454/4034199. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54455/4034226. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 54456/4034379. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 54457/4034397. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 54458/4034406. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.b) b)) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 54459/4034523. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 5. ==[ beta ]==> ((^y.y)(c (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(c (^y.a))) 7. ==[ beta ]==> (c (^y.a)) 8. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 54460/4034604. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (b ((^x1.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54461/4034658. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54462/4034685. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 54463/4034739. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54464/4034820. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54465/4034973. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 54466/4035027. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 54467/4035045. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))((^y.y) a))) 3. ==[ beta ]==> (b ((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 54468/4035144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 54469/4035279. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54470/4035360. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54471/4035387. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 54472/4035423. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(c (a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(c (a (a a)))) REDUCED to normal form. ------ 54473/4035441. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 54474/4035477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54475/4035504. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 54476/4035531. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 54477/4035558. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54478/4035585. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 54479/4035648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 54480/4035675. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 54481/4035702. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.a))) REDUCED to normal form. ------ 54482/4035729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 54483/4035756. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54484/4035783. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a b) a)((^y.y) a)) 6. ==[ alpha ]==> (((a b) a)((^x.x) a)) 7. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 54485/4035810. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 54486/4036035. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 54487/4036098. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c c)) REDUCED to normal form. ------ 54488/4036143. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 54489/4036170. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54490/4036206. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 54491/4036224. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 54492/4036233. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(b a)) REDUCED to normal form. ------ 54493/4036287. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 54494/4036305. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 54495/4036314. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 54496/4036341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 54497/4036413. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 54498/4036431. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.a))) REDUCED to normal form. ------ 54499/4036458. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 54500/4036485. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y)) b)) 5. ==[ beta ]==> ((a (a a))((a (^y.y)) b)) 6. ==[ alpha ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 54501/4036512. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a) c)) REDUCED to normal form. ------ 54502/4036539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) a)) 5. ==[ beta ]==> (((a a) a)((^y.a) a)) 6. ==[ alpha ]==> (((a a) a)((^x.a) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 54503/4036566. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54504/4036593. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) c)) 3. ==[ beta ]==> (((a b)(a (a a))) c) REDUCED to normal form. ------ 54505/4036620. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 54506/4036647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 54507/4036692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54508/4036701. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 54509/4036710. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54510/4036791. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(a a))) 5. ==[ beta ]==> ((a a)((^z.z)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 54511/4041924. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (b a))) 3. ==[ beta ]==> ((b (b a))(^y.y)) 4. ==[ alpha ]==> ((b (b a))(^x.x)) REDUCED to normal form. ------ 54512/4041945. ------ 1. ==[ start ]==> (((a a) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 54513/4042113. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 54514/4042242. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 54515/4042284. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 54516/4042512. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 54517/4043295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 54518/4043547. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 54519/4043679. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((^y.y)(^z.z))) b) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y))) b) 5. ==[ beta ]==> (((a (a a))(^y.y)) b) 6. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 54520/4043997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54521/4044066. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a) c)) 3. ==[ beta ]==> (^y.((((a a) a) c)(((a a) a) c))) 4. ==[ alpha ]==> (^x.((((a a) a) c)(((a a) a) c))) REDUCED to normal form. ------ 54522/4044222. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 54523/4044273. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(a (^z.z)))(((a a) a)(a (^z.z))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(a (^y.y)))(((a a) a)(a (^z.z))))) 5. ==[ beta ]==> ((((a a) a)(a (^y.y)))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 54524/4044618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(z z))) a) 4. ==[ beta ]==> (((^y.y)(^z.(z z))) a) 5. ==[ alpha ]==> (((^x.x)(^y.(y y))) a) 6. ==[ beta ]==> ((^y.(y y)) a) 7. ==[ alpha ]==> ((^x.(x x)) a) 8. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54525/4044816. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(z b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(z b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y b))) REDUCED to normal form. ------ 54526/4044948. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a (^z.z))((^x1.x1)(^y1.y1)))((a (^z.z))((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^y1.y1)))(^z1.z1)) 8. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 54527/4045158. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((a a) a))) 3. ==[ beta ]==> (((a a) b)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 54528/4045320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54529/4045704. ------ 1. ==[ start ]==> ((^a.(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(c ((^y.y) a))) 3. ==[ eta ]==> (b (c ((^y.y) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 54530/4045986. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 54531/4046211. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 54532/4046253. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54533/4046382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((a a) a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.z)) 5. ==[ beta ]==> (((^y.y)((a a) a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54534/4046436. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 54535/4046541. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (a a))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.y))) REDUCED to normal form. ------ 54536/4046634. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 54537/4046763. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54538/4046790. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 54539/4046817. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54540/4046853. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (b a))) REDUCED to normal form. ------ 54541/4046871. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54542/4046889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54543/4046988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 54544/4047015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 54545/4047042. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 54546/4047168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 54547/4047213. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 54548/4047348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 54549/4047384. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 54550/4047411. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 54551/4047438. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 54552/4047456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 54553/4047519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 54554/4047627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((b b)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((b b)((^x.b)(^y.b))) 7. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 54555/4047960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 54556/4048131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 54557/4048185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 54558/4048221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 54559/4048266. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 54560/4048293. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 54561/4048302. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 54562/4048356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 54563/4048410. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 54564/4048446. ------ 1. ==[ start ]==> (((a a)((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (a a))) REDUCED to normal form. ------ 54565/4048473. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 54566/4048500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 54567/4048527. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 54568/4048554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 54569/4048581. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 54570/4048608. ------ 1. ==[ start ]==> ((a (a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 54571/4048761. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 54572/4048779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 54573/4048788. ------ 1. ==[ start ]==> (((a b) a)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 54574/4048806. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 54575/4048815. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 54576/4048833. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 54577/4048869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 54578/4048887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 54579/4048896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 54580/4048923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54581/4048950. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54582/4048968. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 54583/4048977. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 54584/4048995. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 54585/4049121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a b))) 5. ==[ beta ]==> (((^y.y) a)(b (a b))) 6. ==[ alpha ]==> (((^x.x) a)(b (a b))) 7. ==[ beta ]==> (a (b (a b))) REDUCED to normal form. ------ 54586/4049148. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 54587/4049175. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 54588/4049202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 54589/4049211. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54590/4049373. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (b ((a b)(^x1.x1))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 54591/4049382. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(a a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 54592/4049427. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 54593/4049436. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 54594/4049454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 54595/4049463. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 54596/4049517. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 54597/4049544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a b))) 7. ==[ beta ]==> (((^y.y)(a b))((^y.y)(a b))) 8. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a b))) 9. ==[ beta ]==> ((a b)((^y.y)(a b))) 10. ==[ alpha ]==> ((a b)((^x.x)(a b))) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 54598/4049571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 54599/4049589. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 54600/4049598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 54601/4049625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54602/4049688. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(c (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.y))) REDUCED to normal form. ------ 54603/4049715. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b ((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 54604/4049742. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (a b))) REDUCED to normal form. ------ 54605/4049769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(a a))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 54606/4049796. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 8. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 54607/4049823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 54608/4049850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 54609/4049877. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 54610/4050048. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 54611/4050057. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 54612/4050084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 54613/4050129. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 54614/4050165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 54615/4050192. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 54616/4050246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54617/4050291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54618/4050390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 54619/4050633. ------ 1. ==[ start ]==> ((a (b a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(c ((^x.x) a))) 3. ==[ beta ]==> ((a (b a))(c a)) REDUCED to normal form. ------ 54620/4050723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) b)) 5. ==[ beta ]==> (b ((^z.(z z)) b)) 6. ==[ alpha ]==> (b ((^x.(x x)) b)) 7. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 54621/4050867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 54622/4050912. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((b a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 54623/4050939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 54624/4050975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 54625/4050993. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y)) c)) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y)) c)) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) c)) REDUCED to normal form. ------ 54626/4051002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 54627/4051074. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54628/4051083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 54629/4051110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 54630/4051137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 54631/4051182. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 54632/4051200. ------ 1. ==[ start ]==> (((a a)(b a))(b c)) REDUCED to normal form. ------ 54633/4051281. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (a (^x.x)))) REDUCED to normal form. ------ 54634/4051308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 54635/4051335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 54636/4051362. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 54637/4051416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 54638/4051461. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54639/4051470. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 54640/4051479. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54641/4051560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.z))) 5. ==[ beta ]==> ((a a)((a a)(^z.z))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 54642/4051640. ------ 1. ==[ start ]==> (^a.((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 54643/4051641. ------ 1. ==[ start ]==> (a ((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 54644/4056570. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a))) a) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54645/4056576. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 54646/4056630. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 54647/4056750. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 54648/4056828. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (^x.((a a)((^z.z) a))) 6. ==[ alpha ]==> (^x.((a a)((^y.y) a))) 7. ==[ beta ]==> (^x.((a a) a)) REDUCED to normal form. ------ 54649/4057521. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54650/4058082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54651/4058286. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 54652/4058334. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 54653/4058784. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54654/4059009. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 54655/4059603. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 54656/4059774. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 54657/4059945. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 54658/4060413. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 54659/4060491. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.a))) 3. ==[ eta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54660/4060665. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 54661/4061088. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 54662/4061169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 54663/4061250. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.y))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.y))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.x))) REDUCED to normal form. ------ 54664/4061328. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.z1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54665/4061502. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54666/4061514. ------ 1. ==[ start ]==> ((a a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 54667/4061568. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 54668/4061622. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 54669/4061658. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54670/4061685. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 54671/4061694. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 54672/4061712. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 54673/4061739. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 54674/4061766. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 54675/4061847. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 54676/4061874. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 54677/4061928. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 54678/4061955. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 54679/4061991. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 54680/4062054. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 54681/4062081. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 54682/4062099. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54683/4062180. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 54684/4062261. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a) a)) REDUCED to normal form. ------ 54685/4062288. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 54686/4062351. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 54687/4062405. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 54688/4062432. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 54689/4062459. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 54690/4062468. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54691/4062495. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 54692/4062549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> (((a a)(^y.y))(a a)) 8. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 54693/4062558. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 54694/4062585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) c)) 5. ==[ beta ]==> (a ((^y.(a a)) c)) 6. ==[ alpha ]==> (a ((^x.(a a)) c)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 54695/4062603. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 54696/4062630. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 54697/4062684. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 54698/4062756. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 54699/4062837. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 54700/4062864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 54701/4063017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54702/4063044. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 54703/4063098. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b) c)) REDUCED to normal form. ------ 54704/4063224. ------ 1. ==[ start ]==> ((a (^a.b))(c (a b))) 2. ==[ alpha ]==> ((a (^x.b))(c (a b))) REDUCED to normal form. ------ 54705/4063242. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 54706/4063413. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 54707/4063494. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z)(a a)))) IRREDUCIBLE: cycle. ------ 54708/4063557. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 54709/4063584. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 54710/4063611. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 54711/4063665. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 54712/4063692. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 54713/4063719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54714/4063746. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 54715/4063773. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((a b) b)) REDUCED to normal form. ------ 54716/4063809. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 54717/4063836. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 54718/4063863. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 54719/4063890. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 54720/4063917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 54721/4063944. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 54722/4063962. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 54723/4064007. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54724/4064034. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 54725/4064088. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 54726/4064178. ------ 1. ==[ start ]==> (((a b) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.x))) REDUCED to normal form. ------ 54727/4064205. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54728/4064232. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 54729/4064259. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 54730/4064313. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 54731/4064340. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.b))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.b))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.b))) 7. ==[ beta ]==> (((a a)(^y.b))((a a)(^y.b))) 8. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 54732/4064367. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b) a)) REDUCED to normal form. ------ 54733/4064394. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 54734/4064457. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 54735/4064484. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 54736/4064538. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 54737/4064610. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54738/4064709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 54739/4064853. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 54740/4064880. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.a))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.a))) REDUCED to normal form. ------ 54741/4064907. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 54742/4064961. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 54743/4065087. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 54744/4065096. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 54745/4065186. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 54746/4065240. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 54747/4065267. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 54748/4065294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 9. ==[ beta ]==> ((^y.a)((^z.z) a)) 10. ==[ alpha ]==> ((^x.a)((^y.y) a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 54749/4065321. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 54750/4065348. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b) a)(^y.y)) 8. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 54751/4065375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 54752/4065402. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 54753/4065429. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 54754/4065519. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a a))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 54755/4065600. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 54756/4065663. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 54757/4065771. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 54758/4065789. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(c (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(c (a (^x.x)))) REDUCED to normal form. ------ 54759/4065798. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 54760/4065852. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54761/4065870. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (b (((^y.y) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 54762/4065879. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 54763/4065906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 54764/4065996. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 54765/4066023. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 54766/4066050. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 54767/4066077. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 54768/4066104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 54769/4066158. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 54770/4066185. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.a))) 5. ==[ beta ]==> (((a a) a)(a (^y.a))) 6. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 54771/4066212. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 54772/4066257. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54773/4066266. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 54774/4066275. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54775/4066356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 54776/4066437. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 54777/4071375. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a))) b) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54778/4071399. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54779/4071480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54780/4071564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 54781/4071573. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 54782/4071984. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((((a a) a)(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 54783/4072131. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 54784/4072209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54785/4072767. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((((a a) a)(^y.(y y)))(((a a) a)(^y.(y y))))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y))))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 54786/4073100. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 54787/4073667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(b ((^y1.b)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 54788/4073841. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 54789/4073874. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)(((^z.b) b)((^z.b) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.b) b)((^z.b) b))) 5. ==[ beta ]==> (((^y.b) b)((^z.b) b)) 6. ==[ alpha ]==> (((^x.b) b)((^y.b) b)) 7. ==[ beta ]==> (b ((^y.b) b)) 8. ==[ alpha ]==> (b ((^x.b) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54790/4074048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 54791/4074948. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 54792/4075227. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54793/4075305. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a) c)) 3. ==[ eta ]==> (b (((^y.y) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 54794/4075614. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 54795/4075731. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 54796/4075854. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54797/4076064. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.c)) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.c)) 5. ==[ beta ]==> (((a a) a)(^y.c)) 6. ==[ alpha ]==> (((a a) a)(^x.c)) REDUCED to normal form. ------ 54798/4076142. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x1.x1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 54799/4076235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 54800/4076316. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 54801/4076346. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 54802/4076400. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54803/4076427. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54804/4076490. ------ 1. ==[ start ]==> (((a a) b)(b (b a))) REDUCED to normal form. ------ 54805/4076508. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54806/4076517. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 54807/4076544. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 54808/4076571. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 54809/4076625. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 54810/4076706. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(a b))) REDUCED to normal form. ------ 54811/4076733. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 54812/4076760. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 54813/4076787. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(b a))) REDUCED to normal form. ------ 54814/4076850. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 54815/4076877. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 54816/4076904. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 54817/4076931. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54818/4076967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54819/4077021. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 54820/4077048. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 54821/4077075. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54822/4077156. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54823/4077291. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54824/4077381. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 54825/4077408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (a ((a a)(a (^y.y)))) 8. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 54826/4077435. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 54827/4077462. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 54828/4077489. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.a))(^z.z)) 10. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 54829/4077516. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 54830/4077543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 7. ==[ beta ]==> (((^y.y) a)(a b)) 8. ==[ alpha ]==> (((^x.x) a)(a b)) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 54831/4077633. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 54832/4077660. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 54833/4077687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.a))) 5. ==[ beta ]==> ((a a)((a b)(^y.a))) 6. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 54834/4077714. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 54835/4077750. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54836/4077804. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a b))) 5. ==[ beta ]==> (a ((^z.a)(a b))) 6. ==[ alpha ]==> (a ((^x.a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54837/4077912. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54838/4078047. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 54839/4078146. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a)) b)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) b)) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 54840/4078173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 54841/4078218. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 54842/4078317. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(a a)))) IRREDUCIBLE: cycle. ------ 54843/4078398. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54844/4078425. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 54845/4078452. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54846/4078506. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 54847/4078587. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 54848/4078614. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 54849/4078632. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a) c)) REDUCED to normal form. ------ 54850/4078785. ------ 1. ==[ start ]==> (((^a.b) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 54851/4078794. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 54852/4078821. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) b)) 3. ==[ beta ]==> ((a (a a))((^y.b) b)) 4. ==[ alpha ]==> ((a (a a))((^x.b) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 54853/4078992. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (b (a (^x1.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 54854/4079073. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54855/4079127. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 54856/4079208. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 54857/4079388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) a)) 5. ==[ beta ]==> ((a (a a))((^y.b) a)) 6. ==[ alpha ]==> ((a (a a))((^x.b) a)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 54858/4079433. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 54859/4079442. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 54860/4079532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 54861/4079667. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 54862/4079775. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54863/4079829. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 54864/4079865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54865/4079892. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 54866/4079919. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 54867/4079946. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 54868/4079973. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 54869/4080063. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a b))(^y.y)) 8. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 54870/4080090. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 54871/4080117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 9. ==[ beta ]==> (((^y.y) a)(^z.a)) 10. ==[ alpha ]==> (((^x.x) a)(^y.a)) 11. ==[ beta ]==> (a (^y.a)) 12. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 54872/4080144. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 54873/4080171. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 54874/4080198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 54875/4080225. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a)) b)) REDUCED to normal form. ------ 54876/4080252. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a) c)) 3. ==[ beta ]==> ((a (b a))(a c)) REDUCED to normal form. ------ 54877/4080423. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 54878/4080531. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 54879/4080558. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 54880/4080612. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 54881/4080621. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 54882/4080675. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 54883/4080702. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 54884/4080729. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 54885/4080756. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 54886/4080801. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 54887/4080819. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 54888/4080846. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 54889/4080873. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (a a))(((^y.y) a) a)) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 54890/4080900. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 54891/4080954. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 54892/4080981. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 54893/4081035. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 54894/4081089. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 54895/4081098. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54896/4081179. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 54897/4081260. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (b (a (^x1.x1))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 54898/4086207. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a))) c) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 54899/4086414. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 54900/4086483. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) c)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54901/4086555. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 54902/4086711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 54903/4086726. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 54904/4086981. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z a))) REDUCED to normal form. ------ 54905/4087050. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54906/4087764. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 54907/4088016. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 54908/4088121. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a))) b) 5. ==[ beta ]==> (((^y.y)(a (a a))) b) 6. ==[ alpha ]==> (((^x.x)(a (a a))) b) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 54909/4088466. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 54910/4088508. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b) b)) 3. ==[ beta ]==> (^y.(((a b) b)((a b) b))) 4. ==[ alpha ]==> (^x.(((a b) b)((a b) b))) REDUCED to normal form. ------ 54911/4088682. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 54912/4088691. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(x x))) REDUCED to normal form. ------ 54913/4088715. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)(((a b)(a a))((a b)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a b)(a a))((a b)(a a)))) 5. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 54914/4088898. ------ 1. ==[ start ]==> (((a b) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 54915/4089087. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 54916/4089285. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(z b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(z b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y b))) 5. ==[ beta ]==> ((a (a a))(^y.(y b))) 6. ==[ alpha ]==> ((a (a a))(^x.(x b))) REDUCED to normal form. ------ 54917/4089390. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((((^z.z) a)(a (a a)))(((^z.z) a)(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a))))(^z.z)) 5. ==[ beta ]==> (((a (a (a a)))(((^y.y) a)(a (a a))))(^z.z)) 6. ==[ alpha ]==> (((a (a (a a)))(((^x.x) a)(a (a a))))(^y.y)) 7. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))(^y.y)) 8. ==[ alpha ]==> (((a (a (a a)))(a (a (a a))))(^x.x)) REDUCED to normal form. ------ 54918/4089627. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((a a) a))) REDUCED to normal form. ------ 54919/4089789. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 54920/4090572. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 54921/4090695. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 54922/4090851. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a) a)((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((((a a) a)(^y.y))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54923/4090977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54924/4091076. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.z)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 54925/4091157. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 54926/4091205. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 54927/4091259. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 54928/4091286. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 54929/4091313. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54930/4091367. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 54931/4091385. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 54932/4091439. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 54933/4091457. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 54934/4091484. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 54935/4091511. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 54936/4091610. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 54937/4091664. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 54938/4091682. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 54939/4091772. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 54940/4091790. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 54941/4091817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 54942/4091853. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(a b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a b))) 5. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 54943/4091871. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 54944/4091880. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 54945/4091907. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 54946/4091934. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 54947/4091979. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 54948/4092006. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 54949/4092096. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 54950/4092276. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 7. ==[ beta ]==> ((^y.(a a)) c) 8. ==[ alpha ]==> ((^x.(a a)) c) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54951/4092429. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 54952/4092456. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 54953/4092600. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 54954/4092654. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (a (a (^y.b))) 8. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 54955/4092690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 54956/4092717. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 54957/4092735. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 54958/4092762. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 54959/4092771. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 54960/4092798. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 54961/4092825. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 54962/4092852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54963/4092942. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 54964/4092969. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 54965/4092996. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 54966/4093023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 54967/4093050. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 54968/4093077. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 54969/4093230. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 54970/4093248. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 54971/4093257. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 54972/4093275. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 54973/4093284. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 54974/4093302. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 54975/4093338. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 54976/4093365. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 54977/4093392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54978/4093419. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 54979/4093437. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 54980/4093446. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 54981/4093464. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b) b)) REDUCED to normal form. ------ 54982/4093617. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (a b))) REDUCED to normal form. ------ 54983/4093635. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 54984/4093644. ------ 1. ==[ start ]==> (((a b)(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 54985/4093671. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(a a))) 3. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 54986/4093680. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.b) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.b) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 54987/4093707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 54988/4093851. ------ 1. ==[ start ]==> (((a b) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(a a)))) REDUCED to normal form. ------ 54989/4093878. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 54990/4093896. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 54991/4093905. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 54992/4093923. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 54993/4093932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 54994/4093977. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 11. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 12. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 13. ==[ beta ]==> (a (^y.(^z.z))) 14. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 54995/4093986. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 54996/4094013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 54997/4094040. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a b)) REDUCED to normal form. ------ 54998/4094058. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 54999/4094067. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 55000/4094211. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 55001/4094238. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (a b))) 5. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 55002/4094265. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 55003/4094292. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 55004/4094319. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 55005/4094346. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 55006/4094517. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 55007/4094526. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 55008/4094553. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 55009/4094580. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 55010/4094598. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 55011/4094625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 55012/4094634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 55013/4094661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.b))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 55014/4094715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55015/4094760. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55016/4094859. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 55017/4094886. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 55018/4095192. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55019/4095336. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 55020/4095381. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 55021/4095408. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 55022/4095444. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 55023/4095462. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) b)) 5. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 55024/4095471. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 55025/4095525. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 55026/4095543. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55027/4095579. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 55028/4095606. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 55029/4095651. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 55030/4095669. ------ 1. ==[ start ]==> (((a a)(b a))(c b)) REDUCED to normal form. ------ 55031/4095696. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b c)) REDUCED to normal form. ------ 55032/4095750. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (a a))) REDUCED to normal form. ------ 55033/4095777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 55034/4095804. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 55035/4095831. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 55036/4095858. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 55037/4095930. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55038/4095948. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55039/4096029. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z) b)) 5. ==[ beta ]==> ((a a)((^z.z) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 55040/4096110. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (b ((^x1.x1) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55041/4096136. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.(z z)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 55042/4096137. ------ 1. ==[ start ]==> (a ((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 55043/4100892. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^x1.(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 55044/4101099. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55045/4101126. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 55046/4101153. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 55047/4101234. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.a)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (a (^x1.x1)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 55048/4101300. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 55049/4101351. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 55050/4101693. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(a (a a)))(((^y.b)(a (a a)))((^y.b)(a (a a))))) 4. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.b)(a (a a)))((^z.b)(a (a a))))) 5. ==[ beta ]==> (b (((^y.b)(a (a a)))((^z.b)(a (a a))))) 6. ==[ alpha ]==> (b (((^x.b)(a (a a)))((^y.b)(a (a a))))) 7. ==[ beta ]==> (b (b ((^y.b)(a (a a))))) 8. ==[ alpha ]==> (b (b ((^x.b)(a (a a))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 55051/4101849. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 55052/4102044. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55053/4102137. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z))) b) 4. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 5. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 6. ==[ beta ]==> ((^y.y) b) 7. ==[ alpha ]==> ((^x.x) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 55054/4102476. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((^y.b)((^z.z) a))((^y.b)((^z.z) a)))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.b)((^y.y) a))((^z.b)((^x1.x1) a)))((^y1.b)((^z1.z1) a))) 5. ==[ beta ]==> ((b ((^z.b)((^x1.x1) a)))((^y1.b)((^z1.z1) a))) 6. ==[ alpha ]==> ((b ((^x.b)((^y.y) a)))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> ((b b)((^z.b)((^x1.x1) a))) 8. ==[ alpha ]==> ((b b)((^x.b)((^y.y) a))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 55055/4102884. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55056/4103559. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 55057/4103757. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (b (^x1.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 55058/4103955. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 55059/4104153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.y))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.y))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.x))) REDUCED to normal form. ------ 55060/4104675. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 55061/4104828. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 55062/4104963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 55063/4105014. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55064/4105107. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55065/4105440. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 55066/4105458. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 55067/4105638. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 55068/4105719. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 55069/4105800. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 55070/4105851. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^x1.x1)(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 55071/4105854. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 55072/4105944. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a a))) 5. ==[ beta ]==> ((a a)(^z.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 55073/4106025. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (b (^x1.(x1 x1))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 55074/4106064. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55075/4106091. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 55076/4106118. ------ 1. ==[ start ]==> ((a b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 55077/4106172. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 55078/4106199. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 55079/4106235. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 55080/4106262. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 55081/4106271. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 55082/4106289. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 55083/4106316. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 55084/4106397. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 55085/4106424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 55086/4106478. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (a (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 55087/4106505. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 55088/4106631. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 55089/4106649. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 55090/4106658. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 55091/4106730. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.b))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.b))) REDUCED to normal form. ------ 55092/4106757. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.(a a)))) REDUCED to normal form. ------ 55093/4106838. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 55094/4106865. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 55095/4106901. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 55096/4106928. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 55097/4106982. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 55098/4107009. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 55099/4107099. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (b a))) 5. ==[ beta ]==> ((^y.y)(a (b a))) 6. ==[ alpha ]==> ((^x.x)(a (b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 55100/4107153. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 8. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 55101/4107162. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 55102/4107180. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 55103/4107234. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 55104/4107333. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 55105/4107414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55106/4107441. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 55107/4107567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 55108/4107648. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 55109/4107675. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((a b) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b) c)) REDUCED to normal form. ------ 55110/4107792. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 55111/4107819. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 55112/4107945. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a) d)) 2. ==[ alpha ]==> (((^x.b) a)((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55113/4107963. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 55114/4108044. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a b))) IRREDUCIBLE: cycle. ------ 55115/4108107. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.x))) REDUCED to normal form. ------ 55116/4108134. ------ 1. ==[ start ]==> (((a b) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 55117/4108161. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 55118/4108215. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 55119/4108269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55120/4108296. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 55121/4108323. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 55122/4108359. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 55123/4108413. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 55124/4108440. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 55125/4108467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.a))) 7. ==[ beta ]==> (a ((^y.a)(^z.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55126/4108494. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 55127/4108521. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 55128/4108557. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(a a))) 3. ==[ beta ]==> ((^y.(a a))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55129/4108584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 55130/4108638. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 55131/4108719. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 55132/4108755. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(^y.y))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 55133/4108782. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 55134/4108809. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 55135/4108863. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 55136/4108917. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 55137/4108944. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 55138/4108971. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 55139/4109007. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 55140/4109034. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 55141/4109061. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 55142/4109115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 55143/4109160. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55144/4109259. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 55145/4109403. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) c)(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b) c)(a (^x.(x x)))) REDUCED to normal form. ------ 55146/4109430. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 55147/4109511. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 55148/4109538. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a)) c)) 3. ==[ beta ]==> ((a (^y.b))((a (a a)) c)) 4. ==[ alpha ]==> ((a (^x.b))((a (a a)) c)) REDUCED to normal form. ------ 55149/4109637. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 55150/4109646. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 55151/4109673. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55152/4109763. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 55153/4109790. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.a))) 3. ==[ beta ]==> ((a (a b))(a (^y.a))) 4. ==[ alpha ]==> ((a (a b))(a (^x.a))) REDUCED to normal form. ------ 55154/4109817. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 55155/4109844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 9. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 10. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 11. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 55156/4109871. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 55157/4109898. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 55158/4109925. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 55159/4109952. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 55160/4109979. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 55161/4110069. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 55162/4110150. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 55163/4110213. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.y))) REDUCED to normal form. ------ 55164/4110258. ------ 1. ==[ start ]==> (((^a.a)(b a))(c c)) 2. ==[ alpha ]==> (((^x.x)(b a))(c c)) 3. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 55165/4110321. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 55166/4110348. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a b)) REDUCED to normal form. ------ 55167/4110420. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 55168/4110429. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 55169/4110456. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 55170/4110546. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 55171/4110573. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 55172/4110600. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 55173/4110627. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 55174/4110654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 55175/4110681. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 55176/4110708. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.x))) REDUCED to normal form. ------ 55177/4110735. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 55178/4110762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 55179/4110807. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55180/4110816. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 55181/4110906. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(a a))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 55182/4110987. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 55183/4111521. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 55184/4115490. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55185/4116003. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55186/4116084. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55187/4116195. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 55188/4116204. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 55189/4116489. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 55190/4116492. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 55191/4116588. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(^y.(y y)))(((a b)(^y.(y y)))((a b)(^y.(y y))))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(((a b)(^y.(y y)))((a b)(^z.(z z))))) REDUCED to normal form. ------ 55192/4116813. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55193/4117041. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(b a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(b x))) 3. ==[ eta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 55194/4117371. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.a))) 3. ==[ beta ]==> ((((a b)(^y.a))((a b)(^y.a)))((a b)(^y.a))) 4. ==[ alpha ]==> ((((a b)(^x.a))((a b)(^y.a)))((a b)(^z.a))) REDUCED to normal form. ------ 55195/4117545. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 55196/4117704. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 55197/4117884. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(x b))((^y.a) d)) 3. ==[ beta ]==> (((^y.a) d) b) 4. ==[ alpha ]==> (((^x.a) d) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 55198/4118247. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 55199/4118271. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.x1))((^z.(a a))(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.z))((^x1.(a a))(^y1.y1)))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))(^y1.y1)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.z)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 55200/4118478. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(a a)) a)((^z.(a a)) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a)) a)((^z.(a a)) a))) 5. ==[ beta ]==> (((^y.(a a)) a)((^z.(a a)) a)) 6. ==[ alpha ]==> (((^x.(a a)) a)((^y.(a a)) a)) 7. ==[ beta ]==> ((a a)((^y.(a a)) a)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55201/4118661. ------ 1. ==[ start ]==> (((a b) b)(^c.(a b))) 2. ==[ alpha ]==> (((a b) b)(^x.(a b))) REDUCED to normal form. ------ 55202/4118868. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(a (^y.y))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55203/4119408. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 55204/4119570. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 55205/4119579. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 55206/4119909. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((a (a a)) b)) 3. ==[ eta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 55207/4120002. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55208/4120353. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 55209/4120362. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 55210/4120458. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55211/4120461. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 55212/4120695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.c)) REDUCED to normal form. ------ 55213/4120746. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 55214/4120758. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55215/4120920. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55216/4120977. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 55217/4121004. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55218/4121058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55219/4121112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55220/4121121. ------ 1. ==[ start ]==> (((a a) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 55221/4121148. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (b a))) REDUCED to normal form. ------ 55222/4121166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 55223/4121175. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 55224/4121202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a a))) REDUCED to normal form. ------ 55225/4121256. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 55226/4121337. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 55227/4121364. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))(a b))) 3. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 55228/4121391. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 55229/4121418. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 55230/4121445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 55231/4121463. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 55232/4121481. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(^y.y))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 55233/4121508. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55234/4121535. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 55235/4121562. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 55236/4121571. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((^y.b)(a (a a)))((^y.b)(a (a a)))) 6. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(a (a a)))) 7. ==[ beta ]==> (b ((^y.b)(a (a a)))) 8. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 55237/4121598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55238/4121652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 7. ==[ beta ]==> ((^y.(y y))(a b)) 8. ==[ alpha ]==> ((^x.(x x))(a b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 55239/4121679. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 55240/4121706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55241/4121787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55242/4121922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55243/4121949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55244/4122012. ------ 1. ==[ start ]==> (((a (a a)) b)(a (b a))) REDUCED to normal form. ------ 55245/4122039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (a (((a a)(^y.y))(a a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 55246/4122066. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 55247/4122093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a b) a)) REDUCED to normal form. ------ 55248/4122120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 55249/4122147. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55250/4122174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 55251/4122291. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 55252/4122318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 55253/4122345. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 55254/4122381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55255/4122435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (a ((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 7. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 55256/4122516. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 55257/4122597. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 55258/4122678. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 55259/4122804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 55260/4122831. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b) c)) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 55261/4122849. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 55262/4122858. ------ 1. ==[ start ]==> ((a (a b))((^c.a) d)) 2. ==[ alpha ]==> ((a (a b))((^x.a) d)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 55263/4123029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (b ((^z.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55264/4123056. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 55265/4123137. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 12. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 55266/4123218. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55267/4123245. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 55268/4123263. ------ 1. ==[ start ]==> (((a a)(a b))((a b) b)) REDUCED to normal form. ------ 55269/4123416. ------ 1. ==[ start ]==> (((^a.b) b)(b (a b))) 2. ==[ alpha ]==> (((^x.b) b)(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 55270/4123452. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (a a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 55271/4123623. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (b (b (^x1.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 55272/4123632. ------ 1. ==[ start ]==> (((a b) b)((a a)(a b))) REDUCED to normal form. ------ 55273/4123677. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a a))) 5. ==[ beta ]==> ((a a)((^y.b)(a a))) 6. ==[ alpha ]==> ((a a)((^x.b)(a a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 55274/4123704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55275/4123758. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 11. ==[ beta ]==> ((^y.(y y))(a (a a))) 12. ==[ alpha ]==> ((^x.(x x))(a (a a))) 13. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 55276/4123839. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (b ((^z.z)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 55277/4124046. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.b) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b) a)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 55278/4124064. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 55279/4124073. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 55280/4124100. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 55281/4124163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 55282/4124298. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55283/4124307. ------ 1. ==[ start ]==> (((a b) c)(d d)) REDUCED to normal form. ------ 55284/4124379. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 55285/4124460. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 55286/4124496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55287/4124523. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 55288/4124541. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 55289/4124550. ------ 1. ==[ start ]==> (((a b)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 55290/4124577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 55291/4124604. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 55292/4124721. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 55293/4124748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 10. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 55294/4124775. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 55295/4124802. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 55296/4124829. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 55297/4124856. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 55298/4124883. ------ 1. ==[ start ]==> ((a (b a))((a (a a)) b)) REDUCED to normal form. ------ 55299/4124973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55300/4125054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 55301/4125162. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 55302/4125189. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55303/4125243. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 55304/4125306. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 55305/4125324. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 55306/4125333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 55307/4125360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 55308/4125387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 55309/4125432. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 55310/4125450. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 55311/4125477. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55312/4125504. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.a))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 55313/4125531. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a) a)) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 55314/4125558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y)) b)) 5. ==[ beta ]==> (((a a) a)((a (^y.y)) b)) 6. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 55315/4125612. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 55316/4125639. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 55317/4125711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55318/4125720. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 55319/4125729. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55320/4125810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.z))) 5. ==[ beta ]==> ((a a)(b (^z.z))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 55321/4125891. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55322/4128423. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))) 4. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) 5. ==[ beta ]==> ((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))) 6. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) IRREDUCIBLE: cycle. ------ 55323/4131126. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 55324/4131240. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(a (a a)))) 3. ==[ eta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 55325/4131693. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 55326/4131735. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55327/4132728. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 55328/4132806. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((^y.y) a)) b) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a)) b) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 55329/4132962. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55330/4133169. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 55331/4133178. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 55332/4133193. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (^y.((((^z.z)(a a)) a)(((^z.z)(a a)) a))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 5. ==[ beta ]==> (^x.(((a a) a)(((^z.z)(a a)) a))) 6. ==[ alpha ]==> (^x.(((a a) a)(((^y.y)(a a)) a))) 7. ==[ beta ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 55333/4133400. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a ((^z.z)(a a)))(a ((^z.z)(a a))))) 4. ==[ alpha ]==> ((^x.x)((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 55334/4133403. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 55335/4133610. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 55336/4133790. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 55337/4133799. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 55338/4133997. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(y b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(y b))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(x b))) REDUCED to normal form. ------ 55339/4134075. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((((a (a a))((^z.z) a))((a (a a))((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))((^x.x) a))((a (a a))((^y.y) a)))(^z.z)) 5. ==[ beta ]==> ((((a (a a)) a)((a (a a))((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> ((((a (a a)) a)((a (a a))((^x.x) a)))(^y.y)) 7. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))(^y.y)) 8. ==[ alpha ]==> ((((a (a a)) a)((a (a a)) a))(^x.x)) REDUCED to normal form. ------ 55340/4134501. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 55341/4134645. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 55342/4135068. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 55343/4135176. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 55344/4135275. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 55345/4135284. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 55346/4135563. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 55347/4135668. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b b)) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 55348/4135842. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 55349/4135917. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 55350/4135944. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 55351/4135998. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55352/4136025. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55353/4136052. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 55354/4136106. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55355/4136124. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55356/4136169. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 55357/4136196. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 55358/4136223. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 55359/4136484. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55360/4136502. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(^y.(y y)))((a b)(^y.(y y)))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 55361/4136529. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 55362/4136565. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 55363/4136583. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 55364/4136592. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(a b))) REDUCED to normal form. ------ 55365/4136610. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 55366/4136619. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 55367/4136646. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 55368/4136673. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 55369/4136691. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a) a)) 3. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 55370/4136718. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 55371/4136808. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 55372/4137015. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55373/4137141. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 55374/4137168. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 55375/4137195. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 55376/4137312. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 55377/4137366. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.a))) 5. ==[ beta ]==> (a ((a (a a))(^z.a))) 6. ==[ alpha ]==> (a ((a (a a))(^x.a))) REDUCED to normal form. ------ 55378/4137402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a b))) 5. ==[ beta ]==> (b ((^y.a)(a b))) 6. ==[ alpha ]==> (b ((^x.a)(a b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55379/4137429. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 55380/4137474. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 55381/4137483. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 55382/4137510. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 55383/4137528. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((a b) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b) c)) 7. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 55384/4137537. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 55385/4137591. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 55386/4137681. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(b (a a))) REDUCED to normal form. ------ 55387/4137708. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 55388/4137735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 55389/4137762. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 55390/4137789. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((a (a b))(((a a) a) a)) REDUCED to normal form. ------ 55391/4137798. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) d)) 3. ==[ beta ]==> ((^y.b)((^z.a) d)) 4. ==[ alpha ]==> ((^x.b)((^y.a) d)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 55392/4137942. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 55393/4137960. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 55394/4137969. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 55395/4137987. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 55396/4137996. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 55397/4138014. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 55398/4138050. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55399/4138068. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 55400/4138077. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 10. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 55401/4138104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.a)((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55402/4138131. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55403/4138149. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 55404/4138158. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 55405/4138176. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 55406/4138347. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55407/4138356. ------ 1. ==[ start ]==> (((a b)(a a))(b (a b))) REDUCED to normal form. ------ 55408/4138383. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 55409/4138392. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55410/4138419. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55411/4138563. ------ 1. ==[ start ]==> (((a b) b)(b (^a.b))) 2. ==[ alpha ]==> (((a b) b)(b (^x.b))) REDUCED to normal form. ------ 55412/4138590. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 55413/4138608. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.y))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 55414/4138617. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 55415/4138635. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 55416/4138644. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 55417/4138689. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(z z)))) 9. ==[ beta ]==> ((^y.y)((a (a a))(^z.(z z)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 11. ==[ beta ]==> ((a (a a))(^y.(y y))) 12. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 55418/4138698. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 55419/4138725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> (a ((^x1.a)((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55420/4138752. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 55421/4138770. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 55422/4138779. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 55423/4138806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 55424/4138950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((a a) a))) 5. ==[ beta ]==> ((a (a a))(b ((a a) a))) REDUCED to normal form. ------ 55425/4138977. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (a b))) 3. ==[ beta ]==> ((((a a) a) a)(a (a b))) REDUCED to normal form. ------ 55426/4139004. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 55427/4139031. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 55428/4139058. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 55429/4139229. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 55430/4139238. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) c)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b) c)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b) c)(a ((^x.x) a))) 7. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 55431/4139265. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 55432/4139292. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 55433/4139337. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 55434/4139346. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 55435/4139373. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 55436/4139427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55437/4139454. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 55438/4139481. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 55439/4139571. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 55440/4139598. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 55441/4139625. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 55442/4139733. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c d)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c d)) 3. ==[ beta ]==> (((a b) a)(c d)) REDUCED to normal form. ------ 55443/4139985. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55444/4140048. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 55445/4140093. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 55446/4140120. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 55447/4140156. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 55448/4140174. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a)) a)) 3. ==[ beta ]==> (((a b)(a b))((a (a a)) a)) REDUCED to normal form. ------ 55449/4140183. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 55450/4140237. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55451/4140264. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 55452/4140435. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b c)) 5. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 55453/4140516. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 55454/4140543. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 55455/4140570. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 55456/4140597. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 55457/4140642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55458/4140651. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 55459/4140660. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55460/4140741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 55461/4140822. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 55462/4143363. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> ((^y.(^z.(a a)))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 55463/4145892. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(z z)))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55464/4145919. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 55465/4146000. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^z.(z z))(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.z)) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 55466/4146093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 55467/4146117. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(a a))) 3. ==[ beta ]==> (^y.((b a)(a a))) 4. ==[ alpha ]==> (^x.((b a)(a a))) REDUCED to normal form. ------ 55468/4146360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 55469/4146381. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 55470/4146459. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))((^z.z) a))(((^y.(a a))((^z.z) a))((^y.(a a))((^z.z) a)))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a))(((^z.(a a))((^x1.x1) a))((^y1.(a a))((^z1.z1) a)))) 5. ==[ beta ]==> ((a a)(((^z.(a a))((^x1.x1) a))((^y1.(a a))((^z1.z1) a)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a)))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))((^x1.x1) a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))((^y.y) a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 55471/4146810. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55472/4147242. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((^y.(a a))(a (^z.z)))((^y.(a a))(a (^z.z))))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 5. ==[ beta ]==> (((a a)((^z.(a a))(a (^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a (^y.y))))((^z.(a a))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 55473/4147677. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55474/4148127. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 55475/4148349. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(a a)))((^z.z)(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a))))) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55476/4148352. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 55477/4148361. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55478/4148748. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 55479/4148946. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.y))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.x))) REDUCED to normal form. ------ 55480/4149756. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 55481/4149780. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.x1))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55482/4150125. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 55483/4150233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.d)) REDUCED to normal form. ------ 55484/4150329. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55485/4150350. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 55486/4150431. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 55487/4150512. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 55488/4150617. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55489/4150710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 55490/4150791. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 55491/4150884. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 55492/4150911. ------ 1. ==[ start ]==> ((a b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 55493/4150965. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 55494/4150992. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 55495/4151055. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (b a))) 3. ==[ beta ]==> ((a (^y.y))(b (b a))) 4. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 55496/4151082. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 55497/4151091. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 55498/4151109. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(a a))) REDUCED to normal form. ------ 55499/4151145. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55500/4151190. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.a)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((a b)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 55501/4151217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 55502/4151271. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(a b))) 5. ==[ beta ]==> (a ((a (a a))(a b))) REDUCED to normal form. ------ 55503/4151298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 55504/4151352. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 55505/4151370. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 55506/4151442. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a a)((a a)(^y.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 55507/4151451. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 55508/4151523. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 55509/4151550. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 55510/4151577. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 55511/4151604. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55512/4151658. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a) a)) REDUCED to normal form. ------ 55513/4151721. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 55514/4151748. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 55515/4151802. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 55516/4151892. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 55517/4151946. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> (((a a)(^y.y))(a a)) 8. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 55518/4151955. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55519/4151973. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 55520/4151982. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 55521/4152027. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 55522/4152153. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 55523/4152234. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 55524/4152360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (b (a (^y.b))) 8. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 55525/4152387. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 55526/4152441. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 55527/4152468. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 55528/4152495. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b) c)) REDUCED to normal form. ------ 55529/4152612. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 55530/4152639. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 55531/4152738. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 55532/4152756. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.b)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 55533/4152837. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)((a a) a))) IRREDUCIBLE: cycle. ------ 55534/4152927. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 55535/4152954. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 55536/4153008. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 55537/4153035. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 55538/4153062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55539/4153089. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 55540/4153116. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 55541/4153152. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 55542/4153179. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 55543/4153233. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 55544/4153260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> (a ((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 55545/4153287. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 55546/4153314. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 55547/4153341. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 55548/4153350. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55549/4153377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 55550/4153431. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 9. ==[ beta ]==> ((^y.y)((^z.z) a)) 10. ==[ alpha ]==> ((^x.x)((^y.y) a)) 11. ==[ beta ]==> ((^y.y) a) 12. ==[ alpha ]==> ((^x.x) a) 13. ==[ beta ]==> a REDUCED to normal form. ------ 55551/4153512. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 55552/4153575. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 55553/4153602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 55554/4153656. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 55555/4153683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 55556/4153710. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 55557/4153737. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 55558/4153764. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 55559/4153827. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 55560/4153854. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 55561/4153881. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 55562/4153935. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((((a a) a) a)(^y.b)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 55563/4153953. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 55564/4154052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 55565/4154196. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.a))) REDUCED to normal form. ------ 55566/4154223. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 55567/4154250. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 55568/4154304. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 55569/4154331. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.b))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 55570/4154430. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 55571/4154493. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 55572/4154583. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 55573/4154637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 9. ==[ beta ]==> ((^y.(^z.z))(a a)) 10. ==[ alpha ]==> ((^x.(^y.y))(a a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55574/4154664. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 55575/4154691. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 55576/4154718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 55577/4154745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 55578/4154772. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 55579/4154862. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (a (a a)))) 5. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 55580/4154943. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 55581/4155114. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 55582/4155141. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 55583/4155195. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 55584/4155213. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (b (b ((^y.y) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 55585/4155249. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 55586/4155276. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 55587/4155321. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 55588/4155339. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 55589/4155366. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 55590/4155393. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 55591/4155420. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 55592/4155447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 55593/4155474. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 55594/4155501. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.a)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 55595/4155555. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 55596/4155600. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55597/4155609. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 55598/4155618. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55599/4155699. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (a (^z.z)))) 5. ==[ beta ]==> ((a a)(a (a (^z.z)))) 6. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 55600/4155780. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 55601/4158123. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(a a)))(^z.((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 55602/4161069. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 55603/4161078. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 55604/4161435. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.a))((((^y.y)(a a))(^z.a))(((^y.y)(a a))(^z.a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((((^z.z)(a a))(^x1.a))(((^y1.y1)(a a))(^z1.a)))) 5. ==[ beta ]==> (((a a)(^y.a))((((^z.z)(a a))(^x1.a))(((^y1.y1)(a a))(^z1.a)))) 6. ==[ alpha ]==> (((a a)(^x.a))((((^y.y)(a a))(^z.a))(((^x1.x1)(a a))(^y1.a)))) 7. ==[ beta ]==> (((a a)(^x.a))(((a a)(^z.a))(((^x1.x1)(a a))(^y1.a)))) 8. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.a))(((^z.z)(a a))(^x1.a)))) 9. ==[ beta ]==> (((a a)(^x.a))(((a a)(^y.a))((a a)(^x1.a)))) 10. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.a))((a a)(^z.a)))) REDUCED to normal form. ------ 55605/4161636. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x a))) REDUCED to normal form. ------ 55606/4161915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) a) b) 4. ==[ beta ]==> (((^y.y) a) b) 5. ==[ alpha ]==> (((^x.x) a) b) 6. ==[ beta ]==> (a b) REDUCED to normal form. ------ 55607/4162218. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.(^x1.x1)))(((^y.y)(a a))(^z.(^x1.x1))))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(((^x2.x2)(a a))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(((^x2.x2)(a a))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1))))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1))))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 55608/4162419. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 55609/4162551. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 55610/4162731. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.b) c)) 3. ==[ beta ]==> (((^y.b) c) b) 4. ==[ alpha ]==> (((^x.b) c) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 55611/4162887. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 55612/4162905. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55613/4163118. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)((^x1.x1)(a a)))((^z.z)((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.(((^z.z)(a a))((^x1.x1)((^y1.y1)(a a))))) 6. ==[ alpha ]==> (^x.(((^y.y)(a a))((^z.z)((^x1.x1)(a a))))) 7. ==[ beta ]==> (^x.((a a)((^z.z)((^x1.x1)(a a))))) 8. ==[ alpha ]==> (^x.((a a)((^y.y)((^z.z)(a a))))) 9. ==[ beta ]==> (^x.((a a)((^z.z)(a a)))) 10. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 11. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 55614/4163121. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 55615/4163337. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55616/4163553. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 55617/4163940. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(a b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 55618/4164000. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) c)((^z.(^x1.x1)) c))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) c)((^z.(^x1.x1)) c))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) c))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) c))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z)) c)(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y)) c)(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55619/4164282. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 55620/4164453. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 55621/4164756. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z)) a)) 3. ==[ eta ]==> (b (((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55622/4164993. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 55623/4165119. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 55624/4165236. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 55625/4165305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55626/4165407. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.a))) REDUCED to normal form. ------ 55627/4165488. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 55628/4165593. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 55629/4165686. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55630/4165767. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 55631/4165878. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55632/4165905. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 55633/4165986. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55634/4166013. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55635/4166049. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 55636/4166067. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55637/4166076. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 55638/4166130. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 55639/4166211. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.y))) REDUCED to normal form. ------ 55640/4166238. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 55641/4166265. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 55642/4166292. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 55643/4166319. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 55644/4166382. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 55645/4166409. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 55646/4166436. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 55647/4166445. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.(a a))((^z.z) a))((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55648/4166472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55649/4166526. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55650/4166553. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 55651/4166580. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55652/4166634. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(b a))) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 55653/4166679. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 55654/4166796. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55655/4166823. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 55656/4166886. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 55657/4166913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (b a))) 3. ==[ beta ]==> (((^y.y) a)(a (b a))) 4. ==[ alpha ]==> (((^x.x) a)(a (b a))) 5. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 55658/4166940. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 55659/4166967. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 55660/4166994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.a))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))((a b) a)) REDUCED to normal form. ------ 55661/4167021. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 55662/4167048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55663/4167192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 55664/4167219. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 55665/4167255. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55666/4167309. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 55667/4167390. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 55668/4167417. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 55669/4167471. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 55670/4167552. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 55671/4167705. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 55672/4167723. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(a (^y.y)))) 3. ==[ beta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 55673/4167732. ------ 1. ==[ start ]==> ((a (a b))((^a.b) c)) 2. ==[ alpha ]==> ((a (a b))((^x.b) c)) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 55674/4167885. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 55675/4167903. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 55676/4167930. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 55677/4167957. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55678/4168011. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 55679/4168092. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55680/4168119. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 55681/4168137. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a a)(a b))((a a) a)) REDUCED to normal form. ------ 55682/4168164. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b) b)) REDUCED to normal form. ------ 55683/4168290. ------ 1. ==[ start ]==> (((^a.b) b)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 55684/4168335. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55685/4168497. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 55686/4168506. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 55687/4168533. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(a b))) 3. ==[ beta ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 55688/4168551. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(a a)))) 5. ==[ beta ]==> ((a a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 55689/4168578. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 55690/4168632. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55691/4168713. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55692/4168785. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 55693/4168812. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) c)) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) c)) 5. ==[ beta ]==> (((a (^x.x))(a b)) c) REDUCED to normal form. ------ 55694/4168938. ------ 1. ==[ start ]==> (((^a.b) c)(a (a b))) 2. ==[ alpha ]==> (((^x.b) c)(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 55695/4168947. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b) a)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 55696/4169001. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 55697/4169172. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55698/4169253. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 55699/4169280. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 55700/4169334. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 55701/4169415. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55702/4169424. ------ 1. ==[ start ]==> (((a b)(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 55703/4169451. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 55704/4169478. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 55705/4169622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55706/4169649. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 55707/4169676. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a b) a)(a (^y.a))) 6. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 55708/4169703. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 55709/4169730. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 55710/4169757. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((a (b a))((^y.y) a)) 4. ==[ alpha ]==> ((a (b a))((^x.x) a)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 55711/4169847. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55712/4169991. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 55713/4170036. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a a))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 55714/4170063. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55715/4170117. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 55716/4170180. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 55717/4170198. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55718/4170207. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(b a)) REDUCED to normal form. ------ 55719/4170234. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 55720/4170261. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 55721/4170306. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 55722/4170351. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 55723/4170378. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 55724/4170405. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.a))) REDUCED to normal form. ------ 55725/4170432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a) a)(((^y.y) a) a)) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 55726/4170459. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 55727/4170486. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a) c)) REDUCED to normal form. ------ 55728/4170513. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) a)) 5. ==[ beta ]==> (((a a) a)((^y.a) a)) 6. ==[ alpha ]==> (((a a) a)((^x.a) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 55729/4170540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 55730/4170594. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 55731/4170603. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55732/4170684. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 55733/4170765. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (b ((^x1.x1)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55734/4173117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 55735/4176081. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 55736/4176096. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55737/4176168. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 55738/4176648. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y a))) REDUCED to normal form. ------ 55739/4176663. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55740/4177431. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 55741/4177683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 55742/4177734. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (^y.y))) b) 4. ==[ alpha ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 55743/4177917. ------ 1. ==[ start ]==> (((a b) a)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 55744/4178121. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.(((a a)(^z.(a a)))((a a)(^z.(a a))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(a a)))((a a)(^z.(a a))))) REDUCED to normal form. ------ 55745/4178124. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 55746/4178328. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (a b))) 3. ==[ beta ]==> ((^y.y)((b (a b))(b (a b)))) 4. ==[ alpha ]==> ((^x.x)((b (a b))(b (a b)))) 5. ==[ beta ]==> ((b (a b))(b (a b))) REDUCED to normal form. ------ 55747/4178565. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 55748/4178754. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.y)) a) 4. ==[ beta ]==> (((a a)(^y.y)) a) 5. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 55749/4178943. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 55750/4178952. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 55751/4179003. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z.z)(^x1.x1))(a (^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> (((a (^x.x))((^z.z)(a (^x1.x1))))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))(^x1.x1)) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(^x1.x1)) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 55752/4179294. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((a a) a))) REDUCED to normal form. ------ 55753/4179456. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 55754/4180122. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 55755/4180131. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 55756/4180239. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 55757/4180329. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 55758/4180518. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y) a))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x) a))(^y.y)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 55759/4180590. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55760/4180689. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.b)) 5. ==[ beta ]==> ((a a)(^z.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 55761/4180770. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55762/4180899. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 55763/4180926. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 55764/4180953. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55765/4180980. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55766/4181007. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 55767/4181034. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 55768/4181088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55769/4181106. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 55770/4181124. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 55771/4181151. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 55772/4181178. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 55773/4181367. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(b a))) 3. ==[ beta ]==> (((a a) a)((a a)(b a))) REDUCED to normal form. ------ 55774/4181457. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.a))(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a))) 7. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.a))) 8. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 9. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 10. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 55775/4181484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 55776/4181520. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 55777/4181547. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 55778/4181565. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 55779/4181574. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 55780/4181592. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 55781/4181601. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 55782/4181628. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55783/4181655. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 55784/4181673. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 55785/4181763. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 55786/4181898. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 55787/4182096. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 55788/4182123. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a b))) REDUCED to normal form. ------ 55789/4182150. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 55790/4182177. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 55791/4182267. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 55792/4182321. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 55793/4182357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((a a) a))) 5. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 7. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 55794/4182384. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 55795/4182402. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 55796/4182438. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 55797/4182483. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 9. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 55798/4182492. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 55799/4182519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55800/4182663. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(b (a a))) REDUCED to normal form. ------ 55801/4182690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 55802/4182717. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 55803/4182744. ------ 1. ==[ start ]==> ((a (a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a b)(a (^x.x)))) REDUCED to normal form. ------ 55804/4182753. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b) c)) 3. ==[ beta ]==> ((^y.b)((^z.b) c)) 4. ==[ alpha ]==> ((^x.b)((^y.b) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 55805/4182897. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(a a)))) REDUCED to normal form. ------ 55806/4182924. ------ 1. ==[ start ]==> (((a b) a)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 55807/4182942. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 55808/4182951. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 55809/4182969. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 55810/4183005. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 55811/4183023. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(y y))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 55812/4183032. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 55813/4183059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55814/4183086. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 55815/4183104. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 55816/4183113. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 55817/4183131. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 55818/4183302. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 55819/4183311. ------ 1. ==[ start ]==> (((a b)(a a))(c ((a a) a))) REDUCED to normal form. ------ 55820/4183338. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a b))) 3. ==[ beta ]==> ((a (a a))(b (a b))) REDUCED to normal form. ------ 55821/4183374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55822/4183428. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 5. ==[ beta ]==> ((^y.y)((^y1.a) c)) 6. ==[ alpha ]==> ((^x.x)((^y.a) c)) 7. ==[ beta ]==> ((^y.a) c) 8. ==[ alpha ]==> ((^x.a) c) 9. ==[ beta ]==> a REDUCED to normal form. ------ 55823/4183518. ------ 1. ==[ start ]==> (((a b) b)(c (^c.a))) 2. ==[ alpha ]==> (((a b) b)(c (^x.a))) REDUCED to normal form. ------ 55824/4183545. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.b))) 3. ==[ beta ]==> (((a a) a)(b (^y.b))) 4. ==[ alpha ]==> (((a a) a)(b (^x.b))) REDUCED to normal form. ------ 55825/4183572. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 55826/4183590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 55827/4183599. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 55828/4183644. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 13. ==[ beta ]==> ((^y.y)(^z.a)) 14. ==[ alpha ]==> ((^x.x)(^y.a)) 15. ==[ beta ]==> (^y.a) 16. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 55829/4183653. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55830/4183680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((^y.(y y))(a (a a)))((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(a (a a)))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(a (a a)))) 10. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(a (a a)))) 11. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 55831/4183707. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 55832/4183725. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 55833/4183734. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 55834/4183761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 55835/4183932. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b ((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(b ((a a) a))) REDUCED to normal form. ------ 55836/4183950. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.b))) 3. ==[ beta ]==> (b ((^y.y)(^z.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 55837/4183959. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 55838/4183986. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 55839/4184013. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 55840/4184184. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55841/4184193. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 55842/4184220. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 9. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 55843/4184247. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 55844/4184265. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 55845/4184301. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 55846/4184328. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 55847/4184346. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) b)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) b)) 7. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 55848/4184382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55849/4184409. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 55850/4184436. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 55851/4184526. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 55852/4184553. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 55853/4184580. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 55854/4184607. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 55855/4184940. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (b ((^z.(z z)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 55856/4185003. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(y y)))) REDUCED to normal form. ------ 55857/4185048. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.y))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.x))) REDUCED to normal form. ------ 55858/4185075. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 55859/4185111. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 55860/4185129. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 55861/4185138. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a a))) REDUCED to normal form. ------ 55862/4185192. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 55863/4185210. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 55864/4185219. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 55865/4185246. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 55866/4185336. ------ 1. ==[ start ]==> (((a a)(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 55867/4185417. ------ 1. ==[ start ]==> (((a (a a))(a b))(b c)) REDUCED to normal form. ------ 55868/4185498. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 55869/4185525. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 55870/4185552. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 55871/4185597. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55872/4185615. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 55873/4185696. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a) b)) 5. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 55874/4185777. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (b ((a a)(^x1.x1))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 55875/4186113. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 55876/4189776. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 55877/4190613. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^x1.(^y1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55878/4190928. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 55879/4191009. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55880/4191126. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 55881/4191129. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 55882/4191369. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 55883/4191417. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 55884/4191966. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.x)((^y.y)(^z.z))) b) 4. ==[ beta ]==> (((^y.y)(^z.z)) b) 5. ==[ alpha ]==> (((^x.x)(^y.y)) b) 6. ==[ beta ]==> ((^y.y) b) 7. ==[ alpha ]==> ((^x.x) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 55885/4192461. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 55886/4192713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 55887/4192938. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 55888/4193172. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 55889/4193358. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55890/4193397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 55891/4193982. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 55892/4194324. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 55893/4194789. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 55894/4194792. ------ 1. ==[ start ]==> ((a (b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 55895/4195161. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 55896/4195269. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.d)) 3. ==[ beta ]==> (((a a)(^y.a))(^z.d)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.d)) REDUCED to normal form. ------ 55897/4195338. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 55898/4195386. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 55899/4195467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 55900/4195548. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 55901/4195620. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55902/4195626. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.a))) 3. ==[ beta ]==> ((a (^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 55903/4195629. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 55904/4195947. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 55905/4196028. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 55906/4196118. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 55907/4196145. ------ 1. ==[ start ]==> ((a (^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 55908/4196226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 55909/4196253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 55910/4196307. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (a ((^y.y)((a a) a))) 8. ==[ alpha ]==> (a ((^x.x)((a a) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 55911/4196334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 55912/4196388. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 55913/4196433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 55914/4196478. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 55915/4196559. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 55916/4196613. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 55917/4196640. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(a a)))) REDUCED to normal form. ------ 55918/4196784. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 55919/4196811. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 55920/4196982. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (b a))) 5. ==[ beta ]==> ((^y.y)(a (b a))) 6. ==[ alpha ]==> ((^x.x)(a (b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 55921/4197009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 55922/4197045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 55923/4197063. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 55924/4197216. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 55925/4197396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.a))) 5. ==[ beta ]==> (b ((a (a a))(^y.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 55926/4197423. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.b))) REDUCED to normal form. ------ 55927/4197477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 55928/4197504. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 55929/4197531. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a) b)) REDUCED to normal form. ------ 55930/4197558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) c)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55931/4197621. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 55932/4197675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 55933/4197702. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 55934/4197774. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 55935/4197792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.b)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)((a b)(a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 55936/4197873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 55937/4197954. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 55938/4197990. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 55939/4198044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 55940/4198071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 55941/4198098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 55942/4198152. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 55943/4198188. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 55944/4198215. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 55945/4198242. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 55946/4198296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 55947/4198323. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 55948/4198350. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 55949/4198377. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 55950/4198386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a b))) 3. ==[ beta ]==> ((^y.(a a))(b (a b))) 4. ==[ alpha ]==> ((^x.(a a))(b (a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 55951/4198413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 55952/4198467. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 55953/4198548. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 55954/4198602. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 55955/4198638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.z))) REDUCED to normal form. ------ 55956/4198692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 55957/4198719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(y y)))) 7. ==[ beta ]==> (((a (a a))(^y.(y y)))((a (a a))(^y.(y y)))) 8. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 55958/4198746. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 55959/4198773. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 55960/4198800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 55961/4198836. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 55962/4198863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 55963/4198890. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 55964/4198917. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 55965/4198944. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 55966/4198998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.b)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 55967/4199088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 55968/4199232. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 55969/4199259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 55970/4199286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 55971/4199340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.a))) REDUCED to normal form. ------ 55972/4199367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.b))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a) a)) REDUCED to normal form. ------ 55973/4199421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 55974/4199466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 55975/4199619. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.(y y)))) 3. ==[ beta ]==> ((a (a b))(c (^y.(y y)))) 4. ==[ alpha ]==> ((a (a b))(c (^x.(x x)))) REDUCED to normal form. ------ 55976/4199646. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 55977/4199700. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 55978/4199727. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a b) a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 55979/4199754. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 55980/4199781. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 55981/4199808. ------ 1. ==[ start ]==> ((a (b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 55982/4199898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c ((^z.z) a))) 5. ==[ beta ]==> (b (c ((^z.z) a))) 6. ==[ alpha ]==> (b (c ((^x.x) a))) 7. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 55983/4199979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 55984/4200150. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 55985/4200177. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 55986/4200231. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 55987/4200249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 55988/4200258. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y)) c)) REDUCED to normal form. ------ 55989/4200312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 55990/4200357. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 55991/4200375. ------ 1. ==[ start ]==> (((a a)(b a))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.a))) REDUCED to normal form. ------ 55992/4200402. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 55993/4200429. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 55994/4200456. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 55995/4200483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 55996/4200510. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 55997/4200537. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 55998/4200564. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 55999/4200645. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 56000/4200735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (a a))) 5. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 56001/4200816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 56002/4200905. ------ 1. ==[ start ]==> (^a.((b a) b)) 2. ==[ alpha ]==> (^x.((b x) b)) REDUCED to normal form. ------ 56003/4200906. ------ 1. ==[ start ]==> (a ((b a) b)) REDUCED to normal form. ------ 56004/4201161. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 56005/4201728. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56006/4204824. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56007/4205661. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.c)) 3. ==[ beta ]==> ((^x1.c)(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.c)(^y.(^z.z))) 5. ==[ beta ]==> c REDUCED to normal form. ------ 56008/4205931. ------ 1. ==[ start ]==> ((^a.a)((b a) b)) 2. ==[ alpha ]==> ((^x.x)((b a) b)) 3. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 56009/4206021. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56010/4206183. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56011/4206186. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 56012/4206525. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((((a a)(^x1.x1))(^y1.(^z1.z1)))(((a a)(^x2.x2))(^y2.(^z2.z2))))) REDUCED to normal form. ------ 56013/4206750. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56014/4206753. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 56015/4207032. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 56016/4207308. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((((a a)(^y.y))(^z.z))(((a a)(^y.y))(^z.z)))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 56017/4207641. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 56018/4207821. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a)) b)) 3. ==[ beta ]==> (((^y.(a a)) b) b) 4. ==[ alpha ]==> (((^x.(a a)) b) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 56019/4208004. ------ 1. ==[ start ]==> (((a b) a)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 56020/4208022. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56021/4208208. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a b)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a b)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a b))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56022/4208229. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 56023/4208454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 56024/4208652. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a b))) REDUCED to normal form. ------ 56025/4208670. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 56026/4209030. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 56027/4209570. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((z z) z))) REDUCED to normal form. ------ 56028/4209846. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.(^z.z)))) 3. ==[ eta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 56029/4209849. ------ 1. ==[ start ]==> ((a (b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56030/4210128. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56031/4210353. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 56032/4210686. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.c)) REDUCED to normal form. ------ 56033/4210695. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56034/4210857. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56035/4210959. ------ 1. ==[ start ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 56036/4211022. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 56037/4211049. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 56038/4211103. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56039/4211130. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56040/4211157. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 56041/4211193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (b a))) REDUCED to normal form. ------ 56042/4211211. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56043/4211229. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 56044/4211247. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 56045/4211328. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(a (a a)))) REDUCED to normal form. ------ 56046/4211355. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 56047/4211382. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 56048/4211409. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a b))) REDUCED to normal form. ------ 56049/4211436. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 56050/4211526. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(^y.y))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 56051/4211553. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 56052/4211589. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56053/4211670. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 56054/4211697. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 56055/4211751. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 56056/4211778. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 56057/4211796. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a) a)) REDUCED to normal form. ------ 56058/4211823. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 56059/4211913. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56060/4211940. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56061/4211994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 56062/4212003. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(c (a a))) REDUCED to normal form. ------ 56063/4212030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (a (b ((a a)(^y.y)))) 6. ==[ alpha ]==> (a (b ((a a)(^x.x)))) REDUCED to normal form. ------ 56064/4212057. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 56065/4212084. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 56066/4212111. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 56067/4212138. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 56068/4212165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 56069/4212336. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 56070/4212372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56071/4212426. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a (a a)))) 5. ==[ beta ]==> (a ((^z.a)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56072/4212507. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 56073/4212534. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56074/4212669. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 56075/4212840. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 56076/4212849. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(a a)) b)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 56077/4213002. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a b))) REDUCED to normal form. ------ 56078/4213020. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 56079/4213029. ------ 1. ==[ start ]==> (((a b) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 56080/4213047. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 56081/4213074. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56082/4213209. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56083/4213236. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 56084/4213254. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 56085/4213281. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 56086/4213308. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b) b)) 5. ==[ beta ]==> ((a (^y.y))((a b) b)) 6. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 56087/4213452. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56088/4213479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 56089/4213623. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) b)(a (^y.y))) 6. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 56090/4213650. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 56091/4213668. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.b))) 5. ==[ beta ]==> ((a a)(b (^y.b))) 6. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 56092/4213677. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a b))) REDUCED to normal form. ------ 56093/4213695. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 56094/4213830. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56095/4213902. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) a)) 3. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 56096/4213929. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a) b)) REDUCED to normal form. ------ 56097/4214055. ------ 1. ==[ start ]==> (((^a.b) c)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 56098/4214091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 56099/4214289. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56100/4214370. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 56101/4214397. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56102/4214532. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56103/4214541. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 56104/4214568. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 56105/4214595. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 56106/4214631. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 56107/4214766. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 56108/4214793. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 56109/4214820. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 56110/4214847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 56111/4214874. ------ 1. ==[ start ]==> ((a (b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 56112/4214964. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> (b ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56113/4215108. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 56114/4215153. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 56115/4215180. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 56116/4215216. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c c)) 3. ==[ beta ]==> ((a (^y.(a a)))(c c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(c c)) REDUCED to normal form. ------ 56117/4215234. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 56118/4215315. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56119/4215324. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (a (^y.y)))) REDUCED to normal form. ------ 56120/4215351. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 56121/4215378. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 56122/4215441. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 56123/4215495. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 56124/4215522. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 56125/4215549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.a))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 56126/4215576. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 56127/4215603. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 56128/4215657. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 56129/4215702. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56130/4215720. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56131/4215801. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 56132/4215882. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 56133/4216803. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56134/4221024. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56135/4221288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 56136/4221339. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 56137/4221837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 56138/4222629. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 56139/4222881. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 56140/4222905. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))(a a)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(a a)) b) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 56141/4223115. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56142/4223292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.b))((a (^z.z))(^x1.b)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.b))((a (^x1.x1))(^y1.b)))) REDUCED to normal form. ------ 56143/4223763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 56144/4224150. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(y b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 56145/4224174. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (((((a a) a)(a a))(((a a) a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(a a))(((a a) a)(a a)))(^x.x)) REDUCED to normal form. ------ 56146/4224492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 56147/4224654. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 56148/4225437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 56149/4225479. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56150/4225716. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 56151/4225767. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 56152/4225779. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56153/4225941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56154/4226061. ------ 1. ==[ start ]==> ((a (^a.a))((b a) b)) 2. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 56155/4226124. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 56156/4226151. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 56157/4226205. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 56158/4226232. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 56159/4226259. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 56160/4226322. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 56161/4226349. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(a a))) REDUCED to normal form. ------ 56162/4226376. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 56163/4226385. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 56164/4226565. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 56165/4226592. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(b a))) REDUCED to normal form. ------ 56166/4226655. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 56167/4226682. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 56168/4226718. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 56169/4226736. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 56170/4226772. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 56171/4226790. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 56172/4226799. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a b)(a b))) REDUCED to normal form. ------ 56173/4226826. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 56174/4226853. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 56175/4226961. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 56176/4227096. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 56177/4227222. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 56178/4227294. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 56179/4227321. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 56180/4227348. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 56181/4227375. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 56182/4227402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 56183/4227465. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 56184/4227519. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (a (((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 56185/4227555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56186/4227582. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 56187/4227600. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(a (^y.b))) 6. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 56188/4227627. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 56189/4227636. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 56190/4227663. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 56191/4227681. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y)) a)) 7. ==[ beta ]==> ((a a)(((a a)(^y.y)) a)) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 56192/4227690. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 56193/4227717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56194/4227744. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 56195/4227888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 56196/4227915. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 56197/4227942. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 56198/4227951. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.b)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(a a)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56199/4228095. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.b))) REDUCED to normal form. ------ 56200/4228122. ------ 1. ==[ start ]==> (((a b) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(a a)))) REDUCED to normal form. ------ 56201/4228149. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 56202/4228167. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 56203/4228203. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 56204/4228221. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 56205/4228257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56206/4228284. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56207/4228302. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 56208/4228311. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 56209/4228329. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 56210/4228500. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56211/4228626. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) b)) 5. ==[ beta ]==> ((^y.y)((^y1.b) b)) 6. ==[ alpha ]==> ((^x.x)((^y.b) b)) 7. ==[ beta ]==> ((^y.b) b) 8. ==[ alpha ]==> ((^x.b) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 56212/4228770. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.b))) REDUCED to normal form. ------ 56213/4228797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(a a)))) REDUCED to normal form. ------ 56214/4228842. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 11. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 12. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 56215/4228851. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 56216/4228878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56217/4228905. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 56218/4228923. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 56219/4228932. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 56220/4228959. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 56221/4229148. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56222/4229157. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 56223/4229184. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a (a b))) 3. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 56224/4229211. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 56225/4229247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56226/4229382. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 56227/4229391. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 56228/4229418. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 56229/4229445. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 56230/4229463. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 56231/4229490. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 56232/4229499. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 56233/4229526. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 56234/4229544. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 56235/4229580. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56236/4229607. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 56237/4229634. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 56238/4229661. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56239/4229724. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 56240/4229751. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 56241/4229778. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a b))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (a b))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 56242/4229805. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 56243/4229832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 56244/4230057. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a) c)) 5. ==[ beta ]==> (b (((^z.z) a) c)) 6. ==[ alpha ]==> (b (((^x.x) a) c)) 7. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 56245/4230138. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56246/4230201. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 56247/4230273. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 56248/4230309. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 56249/4230327. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 56250/4230336. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 56251/4230390. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56252/4230408. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (b (((^y.y) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 56253/4230417. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 56254/4230444. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 56255/4230471. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 56256/4230516. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 56257/4230534. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 56258/4230561. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 56259/4230615. ------ 1. ==[ start ]==> (((a (a a))(a b))(c b)) REDUCED to normal form. ------ 56260/4230642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b c)) 3. ==[ beta ]==> (((^y.y)((a a) a))(b c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b c)) 5. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 56261/4230696. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (a a))) REDUCED to normal form. ------ 56262/4230723. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 56263/4230750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 56264/4230795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56265/4230804. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 56266/4230894. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z)) a)) 5. ==[ beta ]==> ((a a)((a (^z.z)) a)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 56267/4230975. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (b ((^x1.x1) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 56268/4231082. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56269/4231083. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 56270/4236120. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a)) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1)) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56271/4236126. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56272/4236180. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 56273/4236378. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (b a))) 3. ==[ beta ]==> (^y.(b (b a))) 4. ==[ alpha ]==> (^x.(b (b a))) REDUCED to normal form. ------ 56274/4236399. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 56275/4236621. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 56276/4236696. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 56277/4236966. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x a))) REDUCED to normal form. ------ 56278/4237071. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56279/4237245. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y))(a (a a))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 56280/4237992. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56281/4238217. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 56282/4238451. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.(a a))) REDUCED to normal form. ------ 56283/4238610. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.a))((^z.a)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.a))((^x1.a)(^y1.a)))) 5. ==[ beta ]==> (((^y.a)(^z.a))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 7. ==[ beta ]==> (a ((^z.a)(^x1.a))) 8. ==[ alpha ]==> (a ((^x.a)(^y.a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56284/4238865. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a b))) 3. ==[ beta ]==> ((^y.y)(^z.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 56285/4239072. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a y))) 3. ==[ eta ]==> (((a a)((^x.x)(a a))) a) 4. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 56286/4239261. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 56287/4239603. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 56288/4240041. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (a a)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56289/4240215. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56290/4240323. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (a a)))) 3. ==[ beta ]==> ((b a)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 56291/4240590. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56292/4240665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 56293/4240746. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 56294/4240827. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 56295/4240878. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 56296/4240971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.c)) 5. ==[ beta ]==> ((a a)(^z.c)) 6. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 56297/4241052. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 56298/4241160. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56299/4241172. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 56300/4241190. ------ 1. ==[ start ]==> (((^a.a) a)((b a) b)) 2. ==[ alpha ]==> (((^x.x) a)((b a) b)) 3. ==[ beta ]==> (a ((b a) b)) REDUCED to normal form. ------ 56301/4241226. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 56302/4241280. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 56303/4241424. ------ 1. ==[ start ]==> ((a (^b.a))(b (b a))) 2. ==[ alpha ]==> ((a (^x.a))(b (b a))) REDUCED to normal form. ------ 56304/4241442. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56305/4241460. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56306/4241505. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 56307/4241532. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 56308/4241586. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (((a a) a)(^y.y))) 8. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 56309/4241613. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 56310/4241667. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 56311/4241739. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 56312/4241757. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(^y.y))) 3. ==[ beta ]==> ((a a)((b a)(^y.y))) 4. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 56313/4241838. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 56314/4241865. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 56315/4241919. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.b))) REDUCED to normal form. ------ 56316/4241946. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 56317/4242009. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 56318/4242081. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((b b)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a)) c)) 5. ==[ beta ]==> ((b b)((a a) c)) REDUCED to normal form. ------ 56319/4242090. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 56320/4242117. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 56321/4242261. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 56322/4242288. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 56323/4242324. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 56324/4242342. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 56325/4242351. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 56326/4242522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 56327/4242675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56328/4242756. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 56329/4242810. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 56330/4242837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56331/4242864. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) c)) REDUCED to normal form. ------ 56332/4242927. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 56333/4242981. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 56334/4243008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 56335/4243053. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56336/4243071. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56337/4243152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) IRREDUCIBLE: cycle. ------ 56338/4243233. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> (b ((a (^z.z))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 56339/4243260. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 56340/4243323. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 56341/4243350. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 56342/4243377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56343/4243404. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 56344/4243431. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 56345/4243467. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 56346/4243494. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 56347/4243521. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 56348/4243548. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 56349/4243602. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 56350/4243629. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 56351/4243656. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 56352/4243665. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(c ((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(c ((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56353/4243692. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 56354/4243746. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a a))) 5. ==[ beta ]==> ((^y.y)((a b)(a a))) 6. ==[ alpha ]==> ((^x.x)((a b)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 56355/4243827. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 56356/4243881. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 56357/4243908. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 56358/4243971. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 56359/4243998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 9. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 11. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.a))) 12. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.a))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 56360/4244025. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 56361/4244052. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 56362/4244115. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 56363/4244142. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 56364/4244196. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 56365/4244223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 56366/4244250. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 56367/4244277. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 56368/4244304. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.b)) 6. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 56369/4244367. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 56370/4244511. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.x))) REDUCED to normal form. ------ 56371/4244538. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 56372/4244565. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.a))) REDUCED to normal form. ------ 56373/4244619. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 56374/4244646. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 56375/4244700. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56376/4244952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56377/4245006. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 56378/4245033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 56379/4245060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 56380/4245087. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 56381/4245258. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 56382/4245321. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 56383/4245366. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(a (a a)))) 3. ==[ beta ]==> ((b a)((a a)(a (a a)))) REDUCED to normal form. ------ 56384/4245429. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 56385/4245447. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c c)) 3. ==[ beta ]==> (((a b)(a b))(c c)) REDUCED to normal form. ------ 56386/4245456. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 56387/4245510. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 56388/4245537. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a b)) REDUCED to normal form. ------ 56389/4245564. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 56390/4245636. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 56391/4245654. ------ 1. ==[ start ]==> (((a a)(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 56392/4245681. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 56393/4245708. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 56394/4245735. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(a a))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 56395/4245762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 56396/4245789. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 56397/4245816. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 56398/4245843. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 56399/4245870. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 56400/4245915. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56401/4245924. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 56402/4245933. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56403/4246014. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a c)) 5. ==[ beta ]==> ((a a)(a c)) REDUCED to normal form. ------ 56404/4246095. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 56405/4246203. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56406/4246211. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z))) x)) REDUCED to normal form. ------ 56407/4246212. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 56408/4251249. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a)) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1)) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56409/4251258. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a) a) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 56410/4251264. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (^y.(^z.z))) a) 4. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 56411/4251273. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56412/4251291. ------ 1. ==[ start ]==> ((^a.(a a))((b a) b)) 2. ==[ alpha ]==> ((^x.(x x))((b a) b)) 3. ==[ beta ]==> (((b a) b)((b a) b)) REDUCED to normal form. ------ 56413/4251318. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 56414/4251354. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56415/4251555. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 56416/4251858. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(^y.y))) 3. ==[ beta ]==> (((b a)(^y.y))(((b a)(^y.y))((b a)(^y.y)))) 4. ==[ alpha ]==> (((b a)(^x.x))(((b a)(^y.y))((b a)(^z.z)))) REDUCED to normal form. ------ 56417/4252083. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56418/4252392. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 56419/4252896. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 56420/4252974. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 56421/4253148. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 56422/4253154. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a) b) 4. ==[ alpha ]==> (((^x.(^y.y)) a) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 56423/4253364. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 56424/4253541. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.(((^z.a)((a a) a))((^z.a)((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.a)((a a) a))((^z.a)((a a) a)))) 5. ==[ beta ]==> (^x.(a ((^z.a)((a a) a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((a a) a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 56425/4254012. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a b))) REDUCED to normal form. ------ 56426/4254423. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((((^z.b) a)((^z.b) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.b) a)((^y.b) a))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b) a))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b) a))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 56427/4254597. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 56428/4254759. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 56429/4255179. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(z z)))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 56430/4255353. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56431/4255488. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56432/4256016. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^x1.(^y1.y1)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56433/4256109. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 56434/4256298. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56435/4256307. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 56436/4256319. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 56437/4256328. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 56438/4256346. ------ 1. ==[ start ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 56439/4256373. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 56440/4256409. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 56441/4256490. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56442/4256517. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 56443/4256544. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56444/4256607. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 56445/4256616. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 56446/4256688. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 56447/4256715. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(a (a a)))) 3. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 56448/4256742. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 56449/4256769. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 56450/4256796. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 56451/4256913. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 56452/4256949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56453/4257003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 7. ==[ beta ]==> ((^y.b)(a (a a))) 8. ==[ alpha ]==> ((^x.b)(a (a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 56454/4257057. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56455/4257111. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 56456/4257138. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56457/4257183. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((b a) a)) REDUCED to normal form. ------ 56458/4257210. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 56459/4257273. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56460/4257354. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((^y.(y y))(^z.b)) 8. ==[ alpha ]==> ((^x.(x x))(^y.b)) 9. ==[ beta ]==> ((^y.b)(^y.b)) 10. ==[ alpha ]==> ((^x.b)(^y.b)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 56461/4257417. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 56462/4257444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (b a))) REDUCED to normal form. ------ 56463/4257471. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 56464/4257498. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 56465/4257525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 56466/4257732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56467/4257786. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 56468/4257867. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 56469/4257894. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56470/4257948. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 56471/4258029. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 56472/4258200. ------ 1. ==[ start ]==> (((^a.b) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a ((a a)(^y.y)))) 3. ==[ beta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 56473/4258209. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 56474/4258362. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) b)(a ((a a) a))) REDUCED to normal form. ------ 56475/4258380. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 56476/4258389. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 56477/4258407. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(a a)))) 3. ==[ beta ]==> ((a b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 56478/4258416. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 56479/4258488. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 56480/4258569. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56481/4258596. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 56482/4258614. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 56483/4258641. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 56484/4258668. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 56485/4258695. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b) b)) REDUCED to normal form. ------ 56486/4258812. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56487/4258839. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56488/4258983. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 56489/4259010. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 56490/4259037. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 56491/4259055. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (^z.b))) 3. ==[ beta ]==> ((^y.y)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 56492/4259064. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a b))) REDUCED to normal form. ------ 56493/4259109. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 11. ==[ beta ]==> ((^y.b)(a a)) 12. ==[ alpha ]==> ((^x.b)(a a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 56494/4259190. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 56495/4259262. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 56496/4259289. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b) a)) REDUCED to normal form. ------ 56497/4259316. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a) b)) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 56498/4259415. ------ 1. ==[ start ]==> (((^a.b) c)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 56499/4259478. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 56500/4259649. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 56501/4259730. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 56502/4259757. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56503/4259811. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 56504/4259892. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56505/4259955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 56506/4260018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 56507/4260045. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (a b))((^y.(y y)) c)) 4. ==[ alpha ]==> ((a (a b))((^x.(x x)) c)) 5. ==[ beta ]==> ((a (a b))(c c)) REDUCED to normal form. ------ 56508/4260153. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b) a)(^y.y)) 8. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 56509/4260180. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 56510/4260207. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.a))) REDUCED to normal form. ------ 56511/4260234. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 56512/4260324. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56513/4260405. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56514/4260468. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 56515/4260513. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(y y)))) 3. ==[ beta ]==> ((b a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((b a)(b (^x.(x x)))) REDUCED to normal form. ------ 56516/4260540. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 56517/4260594. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 56518/4260603. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c c)) REDUCED to normal form. ------ 56519/4260675. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56520/4260711. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 56521/4260738. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 56522/4260801. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) b)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 56523/4260882. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.x))) REDUCED to normal form. ------ 56524/4260909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 56525/4260936. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 56526/4260963. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 56527/4260990. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y)) b)) 5. ==[ beta ]==> (((a a) a)((a (^y.y)) b)) 6. ==[ alpha ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 56528/4261062. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56529/4261071. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 56530/4261080. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56531/4261161. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 56532/4261242. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (b (b (^x1.x1))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 56533/4261350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56534/4261359. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 56535/4263261. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((^y.((y y)(^z.z))) b) 4. ==[ alpha ]==> ((^x.((x x)(^y.y))) b) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 56536/4264530. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(z b))) 3. ==[ beta ]==> (((^z.(z b))(^z.(z b)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x b))(^y.(y b)))(^z.z)) 5. ==[ beta ]==> (((^y.(y b)) b)(^z.z)) 6. ==[ alpha ]==> (((^x.(x b)) b)(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 56537/4266414. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a) b) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 56538/4266438. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56539/4266720. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56540/4266729. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 56541/4266753. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(a a))) 3. ==[ eta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 56542/4267017. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 56543/4267248. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56544/4267806. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a)((a a)(^y.y)))((a a)((a a)(^y.y))))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a)((a a)(^x.x)))((a a)((a a)(^y.y))))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 56545/4268070. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 56546/4268139. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((a b) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 56547/4268313. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56548/4268319. ------ 1. ==[ start ]==> ((^a.(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a ((a a)(^y.y))) b) 4. ==[ alpha ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 56549/4268322. ------ 1. ==[ start ]==> ((a (a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 56550/4268706. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.a))(((^z.z) a)(^x1.a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.a))(((^x1.x1) a)(^y1.a)))) 5. ==[ beta ]==> (^x.((a (^z.a))(((^x1.x1) a)(^y1.a)))) 6. ==[ alpha ]==> (^x.((a (^y.a))(((^z.z) a)(^x1.a)))) 7. ==[ beta ]==> (^x.((a (^y.a))(a (^x1.a)))) 8. ==[ alpha ]==> (^x.((a (^y.a))(a (^z.a)))) REDUCED to normal form. ------ 56551/4269588. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (a b))) 3. ==[ beta ]==> (((a (a b))(a (a b)))(^y.y)) 4. ==[ alpha ]==> (((a (a b))(a (a b)))(^x.x)) REDUCED to normal form. ------ 56552/4269591. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y b))) REDUCED to normal form. ------ 56553/4269771. ------ 1. ==[ start ]==> (((a b) c)(^a.(^a.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.b))) REDUCED to normal form. ------ 56554/4270104. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 56555/4270344. ------ 1. ==[ start ]==> ((^a.(b a))(c d)) 2. ==[ alpha ]==> ((^x.(b x))(c d)) 3. ==[ eta ]==> (b (c d)) REDUCED to normal form. ------ 56556/4270770. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 56557/4270893. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56558/4271181. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x1.x1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 56559/4271274. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56560/4271463. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56561/4271472. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 56562/4271486. ------ 1. ==[ start ]==> (^a.(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(^y.(x (^z.(^x1.x1))))) REDUCED to normal form. ------ 56563/4271487. ------ 1. ==[ start ]==> (a (^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 56564/4271502. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 56565/4271511. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 56566/4271529. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 56567/4271592. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 56568/4271619. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 56569/4271646. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 56570/4271673. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 56571/4271700. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 56572/4271727. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 56573/4271763. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (b a))) REDUCED to normal form. ------ 56574/4271781. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56575/4271790. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 56576/4271817. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a a))) 3. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 56577/4272006. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 56578/4272033. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 56579/4272060. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)(b a))) 3. ==[ beta ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 56580/4272078. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 56581/4272096. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.(y y))((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(^y.y))) 5. ==[ beta ]==> (((b a)(^y.y))((b a)(^y.y))) 6. ==[ alpha ]==> (((b a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 56582/4272123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 56583/4272159. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 56584/4272177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 56585/4272186. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 56586/4272204. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 56587/4272240. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 56588/4272267. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 56589/4272285. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 56590/4272294. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 56591/4272312. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 56592/4272402. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 56593/4272537. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a (a a)) b)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 56594/4272564. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56595/4272591. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56596/4272735. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 56597/4272762. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 56598/4272789. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 56599/4272816. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 56600/4272843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 56601/4272870. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 56602/4272906. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 56603/4272960. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.a))) 5. ==[ beta ]==> (a ((a b)(^z.a))) 6. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 56604/4272996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (a a)))) 5. ==[ beta ]==> (b ((^y.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56605/4273023. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 56606/4273068. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 56607/4273077. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 56608/4273104. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 56609/4273131. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 56610/4273185. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 56611/4273203. ------ 1. ==[ start ]==> ((a (^a.b))((a b) c)) 2. ==[ alpha ]==> ((a (^x.b))((a b) c)) REDUCED to normal form. ------ 56612/4273356. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (a a))) REDUCED to normal form. ------ 56613/4273374. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56614/4273383. ------ 1. ==[ start ]==> ((a (a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 56615/4273392. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56616/4273563. ------ 1. ==[ start ]==> (((a b) a)(c (^a.b))) 2. ==[ alpha ]==> (((a b) a)(c (^x.b))) REDUCED to normal form. ------ 56617/4273590. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 56618/4273644. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 56619/4273662. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 56620/4273671. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 56621/4273698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56622/4273725. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56623/4273743. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 56624/4273752. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 56625/4273770. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 56626/4273941. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56627/4274067. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56628/4274211. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 56629/4274238. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.b))) REDUCED to normal form. ------ 56630/4274283. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 56631/4274292. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 56632/4274346. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 56633/4274364. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 56634/4274373. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 56635/4274400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 56636/4274589. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56637/4274598. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 56638/4274625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 56639/4274652. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 56640/4274688. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56641/4274832. ------ 1. ==[ start ]==> (((a b) c)(a (^a.b))) 2. ==[ alpha ]==> (((a b) c)(a (^x.b))) REDUCED to normal form. ------ 56642/4274859. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 56643/4274886. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 56644/4274904. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 56645/4274931. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 56646/4274940. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 56647/4274967. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 56648/4275021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56649/4275048. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 56650/4275066. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 56651/4275075. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 56652/4275102. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 56653/4275129. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 56654/4275165. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 56655/4275192. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 56656/4275219. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 56657/4275246. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 56658/4275273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 9. ==[ beta ]==> ((a (^y.y))(a (a a))) 10. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 56659/4275300. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 56660/4275408. ------ 1. ==[ start ]==> ((a (b a))(c d)) REDUCED to normal form. ------ 56661/4275498. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) b)) 5. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 56662/4275750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 56663/4275768. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 56664/4275777. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 56665/4275831. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 56666/4275849. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 56667/4275858. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 56668/4275885. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 56669/4275912. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 56670/4275957. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 56671/4275975. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 56672/4276002. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 56673/4276029. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 56674/4276110. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b c)) REDUCED to normal form. ------ 56675/4276191. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 56676/4276245. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 56677/4276254. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56678/4276335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 56679/4276416. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56680/4276524. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56681/4276533. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 56682/4276550. ------ 1. ==[ start ]==> (^a.((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.y)(x (^z.(^x1.x1))))) 3. ==[ beta ]==> (^x.(x (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 56683/4276551. ------ 1. ==[ start ]==> (a ((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (a (a (^y.(^z.z)))) 4. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 56684/4276554. ------ 1. ==[ start ]==> ((^a.a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 56685/4277148. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.(^y2.y2))))(^z2.(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56686/4278444. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56687/4279713. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^z.(^x1.z))(^z.(^x1.z)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 56688/4281018. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56689/4281615. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z)))) a) 3. ==[ beta ]==> ((a (^y.(^z.z))) a) 4. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 56690/4281621. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 56691/4281624. ------ 1. ==[ start ]==> ((a a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 56692/4281648. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56693/4281756. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.b)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56694/4281873. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.(c ((a a)(^y.y)))) REDUCED to normal form. ------ 56695/4281921. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 56696/4282116. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 56697/4282215. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y.(^z.(^x1.x1))))(a (^y.(^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.(^z1.z1))))(a (^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 56698/4282218. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 56699/4282488. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y a))) REDUCED to normal form. ------ 56700/4282566. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56701/4282998. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b (^y.(^z.z)))(b (^y.(^z.z))))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 56702/4283262. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56703/4283511. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56704/4283514. ------ 1. ==[ start ]==> ((a (a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56705/4283523. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56706/4283973. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 56707/4284105. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56708/4284198. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (^y.((^z.z)(y y))) 8. ==[ alpha ]==> (^x.((^y.y)(x x))) 9. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 56709/4284594. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 56710/4284780. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((^z.z)(^x1.b))((^z.z)(^x1.b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.b))((^z.z)(^x1.b)))(^y1.y1)) 5. ==[ beta ]==> (((^y.b)((^z.z)(^x1.b)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.b)((^y.y)(^z.b)))(^x1.x1)) 7. ==[ beta ]==> (b (^x1.x1)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56711/4284783. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 56712/4284954. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 56713/4285296. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 56714/4285458. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 56715/4285536. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((^z.z) a))) 3. ==[ eta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56716/4285962. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 56717/4286085. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56718/4286088. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 56719/4286187. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 56720/4286268. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 56721/4286547. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 56722/4286655. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56723/4286664. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 56724/4286682. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 56725/4286694. ------ 1. ==[ start ]==> ((a a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 56726/4286712. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (a ((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 56727/4286721. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 56728/4286739. ------ 1. ==[ start ]==> (((a a) a)((b a) b)) REDUCED to normal form. ------ 56729/4286802. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 56730/4286829. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 56731/4286946. ------ 1. ==[ start ]==> ((a (^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 56732/4286991. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56733/4287027. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a a))) 3. ==[ beta ]==> ((^y.a)((b a)(a a))) 4. ==[ alpha ]==> ((^x.a)((b a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 56734/4287054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 56735/4287063. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 56736/4287108. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(a (a a)))) 5. ==[ beta ]==> (a ((a b)(a (a a)))) REDUCED to normal form. ------ 56737/4287135. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 56738/4287189. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 56739/4287288. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 56740/4287360. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a b)((a a)(^y.a))) 6. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 56741/4287387. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 56742/4287414. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 56743/4287441. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 56744/4287468. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 56745/4287495. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 56746/4287531. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 56747/4287558. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 56748/4287603. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((b b)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 56749/4287639. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 56750/4287810. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 56751/4287864. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 56752/4287900. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 7. ==[ beta ]==> ((^y.(a a)) c) 8. ==[ alpha ]==> ((^x.(a a)) c) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56753/4288071. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 56754/4288197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 56755/4288224. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 56756/4288278. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 56757/4288305. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 56758/4288332. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 56759/4288359. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56760/4288386. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a) b)) REDUCED to normal form. ------ 56761/4288422. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 56762/4288476. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 56763/4288530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 56764/4288557. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 56765/4288584. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 56766/4288593. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.b)(a ((a a)(^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56767/4288674. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((^z.z) a))) IRREDUCIBLE: cycle. ------ 56768/4288755. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (b (((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 56769/4288782. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a b))) REDUCED to normal form. ------ 56770/4288809. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 56771/4288845. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 56772/4288872. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 56773/4288899. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56774/4288926. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 56775/4288953. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 56776/4288989. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 56777/4289016. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 56778/4289043. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 56779/4289070. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 56780/4289097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 56781/4289151. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 56782/4289178. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 56783/4289214. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 56784/4289268. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 56785/4289349. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 56786/4289403. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 56787/4289430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 56788/4289493. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 56789/4289520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 56790/4289547. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.a)) REDUCED to normal form. ------ 56791/4289574. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 56792/4289601. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 56793/4289637. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 56794/4289664. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a b)) REDUCED to normal form. ------ 56795/4289691. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 56796/4289745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 56797/4289772. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 56798/4289799. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 56799/4289853. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 56800/4289889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 56801/4290024. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 56802/4290060. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 56803/4290087. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 56804/4290141. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(z z)))) REDUCED to normal form. ------ 56805/4290168. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 56806/4290222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56807/4290249. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 56808/4290276. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 56809/4290501. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 56810/4290528. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.a))) 3. ==[ beta ]==> (((a b) a)(a (^y.a))) 4. ==[ alpha ]==> (((a b) a)(a (^x.a))) REDUCED to normal form. ------ 56811/4290555. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 56812/4290582. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 56813/4290609. ------ 1. ==[ start ]==> ((a (b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 56814/4290780. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 56815/4290843. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(b b)) REDUCED to normal form. ------ 56816/4290888. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b a)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b a)((a (^x.x)) a)) REDUCED to normal form. ------ 56817/4290915. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 56818/4290951. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 56819/4290978. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 56820/4291032. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 56821/4291059. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 56822/4291086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) b)) 5. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 56823/4291158. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 56824/4291230. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.a))) 5. ==[ beta ]==> ((a (a a))(b (^y.a))) 6. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 56825/4291257. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 56826/4291284. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 56827/4291311. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 56828/4291338. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) a)) 5. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 56829/4291365. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 56830/4291392. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 56831/4291437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56832/4291455. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56833/4291536. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 56834/4291617. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (b (a (a (^x1.x1)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 56835/4291725. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56836/4291734. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 56837/4291752. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 56838/4291760. ------ 1. ==[ start ]==> (^a.((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x x)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 56839/4291761. ------ 1. ==[ start ]==> (a ((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 56840/4291773. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56841/4296228. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56842/4296825. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z)))) b) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 56843/4296834. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 56844/4296840. ------ 1. ==[ start ]==> ((^a.a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56845/4296849. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56846/4296852. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 56847/4296867. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (^y.(^z.z))) a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 56848/4296894. ------ 1. ==[ start ]==> ((^a.b)((b a) b)) 2. ==[ alpha ]==> ((^x.b)((b a) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 56849/4297092. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 56850/4297164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1))) a)) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56851/4297446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56852/4297659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56853/4297995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.a)) b) 4. ==[ beta ]==> ((a (^y.a)) b) 5. ==[ alpha ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 56854/4298550. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 56855/4298742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56856/4299117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))((^x1.x1)(^y1.y1)))((^z.(z z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((((^z.z)(^x1.x1))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> (^x.(((^z.z)((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> (^x.(((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 10. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))) 11. ==[ beta ]==> (^x.((^z.z)((^x1.(x1 x1))((^y1.y1)(^z1.z1))))) 12. ==[ alpha ]==> (^x.((^y.y)((^z.(z z))((^x1.x1)(^y1.y1))))) 13. ==[ beta ]==> (^x.((^z.(z z))((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(^x1.x1)))) 15. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 16. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 17. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 18. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 19. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 20. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 21. ==[ beta ]==> (^x.(^z.z)) 22. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56857/4299417. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 56858/4299633. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 11. ==[ beta ]==> (^y.(^z.(y y))) 12. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 56859/4299813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.b))) REDUCED to normal form. ------ 56860/4300182. ------ 1. ==[ start ]==> (((a b) c)(^c.((a a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a) a))) REDUCED to normal form. ------ 56861/4300755. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.a))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 56862/4301199. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 56863/4301304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 56864/4301307. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 56865/4301487. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 56866/4301586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) a)(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56867/4301592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> (((^x1.a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 56868/4301766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 56869/4301874. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56870/4301883. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 56871/4301901. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 56872/4301910. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 56873/4301922. ------ 1. ==[ start ]==> ((a a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 56874/4301931. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 56875/4301949. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 56876/4301958. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56877/4301976. ------ 1. ==[ start ]==> ((a b)((b a) b)) REDUCED to normal form. ------ 56878/4302066. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56879/4302120. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 56880/4302147. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56881/4302174. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 56882/4302210. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 56883/4302246. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 56884/4302291. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 56885/4302318. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 56886/4302345. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 56887/4302372. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 56888/4302399. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 56889/4302507. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(b a))) 3. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 56890/4302525. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 56891/4302606. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56892/4302633. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 56893/4302714. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 56894/4302741. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 56895/4302813. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((b a) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a) a)) REDUCED to normal form. ------ 56896/4302840. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 56897/4302876. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56898/4302903. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 56899/4302957. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56900/4303011. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 56901/4303020. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 56902/4303047. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 56903/4303074. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (b a))) 3. ==[ beta ]==> ((a (^y.a))(a (b a))) 4. ==[ alpha ]==> ((a (^x.a))(a (b a))) REDUCED to normal form. ------ 56904/4303101. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 56905/4303128. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 8. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 56906/4303389. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 56907/4303470. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 56908/4303497. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 56909/4303551. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 56910/4303632. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 56911/4303650. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b) c)) REDUCED to normal form. ------ 56912/4303803. ------ 1. ==[ start ]==> (((^a.b) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 56913/4303821. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 56914/4303965. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 56915/4303992. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b) a)(a ((a a) a))) REDUCED to normal form. ------ 56916/4304010. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.b))) 3. ==[ beta ]==> ((a b)(c (^y.b))) 4. ==[ alpha ]==> ((a b)(c (^x.b))) REDUCED to normal form. ------ 56917/4304019. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a b))) REDUCED to normal form. ------ 56918/4304037. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 56919/4304091. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 56920/4304172. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56921/4304199. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 10. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 56922/4304217. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 56923/4304244. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 56924/4304271. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 56925/4304298. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a) a)) REDUCED to normal form. ------ 56926/4304325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b) b)) 5. ==[ beta ]==> (((^y.y) a)((a b) b)) 6. ==[ alpha ]==> (((^x.x) a)((a b) b)) 7. ==[ beta ]==> (a ((a b) b)) REDUCED to normal form. ------ 56927/4304415. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56928/4304442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 56929/4304496. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 56930/4304586. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b) b)((^y.y) a)) 6. ==[ alpha ]==> (((a b) b)((^x.x) a)) 7. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 56931/4304613. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 56932/4304640. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 56933/4304658. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 56934/4304667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 56935/4304712. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(a a)))) 9. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 11. ==[ beta ]==> (a (^y.(a a))) 12. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 56936/4304793. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56937/4304892. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.b))) REDUCED to normal form. ------ 56938/4304919. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b) a)) 3. ==[ beta ]==> ((a ((a a) a))((a b) a)) REDUCED to normal form. ------ 56939/4304946. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 56940/4305018. ------ 1. ==[ start ]==> (((^a.b) c)(d (a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (a (a a)))) 3. ==[ beta ]==> (b (d (a (a a)))) REDUCED to normal form. ------ 56941/4305252. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 56942/4305261. ------ 1. ==[ start ]==> (((a b) c)((a a)((a a) a))) REDUCED to normal form. ------ 56943/4305333. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 56944/4305360. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 56945/4305414. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 56946/4305495. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56947/4305648. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 56948/4305783. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 56949/4305810. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 56950/4305837. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((a (b a))(a (^y.a))) 4. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 56951/4305927. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56952/4306008. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 56953/4306071. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(a a))) REDUCED to normal form. ------ 56954/4306116. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.a))) 3. ==[ beta ]==> ((b a)(c (^y.a))) 4. ==[ alpha ]==> ((b a)(c (^x.a))) REDUCED to normal form. ------ 56955/4306143. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 56956/4306197. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 56957/4306278. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (b ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 56958/4306386. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 56959/4306404. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 56960/4306431. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 56961/4306512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 56962/4306539. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 56963/4306566. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 56964/4306593. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a) a)(((^y.y) a) a)) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 56965/4306620. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 56966/4306665. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56967/4306674. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 56968/4306764. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 56969/4306845. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 56970/4306953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56971/4306962. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 56972/4306980. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 56973/4306989. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 56974/4307325. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 56975/4311753. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.(x (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((^x1.x1)(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56976/4312071. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 56977/4312095. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56978/4312107. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 56979/4312410. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (a (^z.(^x1.x1))))) 3. ==[ eta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 56980/4312413. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 56981/4312680. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(b a))(((a a)(b a))((a a)(b a)))) REDUCED to normal form. ------ 56982/4312905. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 56983/4313463. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a (^y.y))((^z.z)(a a)))((a (^y.y))((^z.z)(a a))))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a))))((a (^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a))))((a (^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))((^z.z)(a a))))((a (^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))((a (^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))((a (^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((((a (^x.x))(a a))((a (^y.y))(a a)))((a (^z.z))(a a))) REDUCED to normal form. ------ 56984/4313754. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56985/4313796. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 56986/4313976. ------ 1. ==[ start ]==> ((^a.(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b ((^y.y)(a a))) b) 4. ==[ alpha ]==> ((b ((^x.x)(a a))) b) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 56987/4314240. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 56988/4314363. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.(^x1.x1)))((a (a a))(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1))))) REDUCED to normal form. ------ 56989/4314888. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 56990/4315245. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((b ((a a) a))(b ((a a) a)))(^y.y)) 4. ==[ alpha ]==> (((b ((a a) a))(b ((a a) a)))(^x.x)) REDUCED to normal form. ------ 56991/4315428. ------ 1. ==[ start ]==> (((a b) c)(^d.(^c.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 56992/4315455. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 56993/4315617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 56994/4315788. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((z z) z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((y y) y))) REDUCED to normal form. ------ 56995/4315923. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^x.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 56996/4316346. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 56997/4316445. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 56998/4316454. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 56999/4316571. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x (x x)))) REDUCED to normal form. ------ 57000/4316652. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 57001/4316832. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57002/4316838. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^x1.x1) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 57003/4316841. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 57004/4317012. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 57005/4317129. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 57006/4317147. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 57007/4317156. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 57008/4317186. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 57009/4317195. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 57010/4317213. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 57011/4317222. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 57012/4317240. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((b a) b)) 3. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 57013/4317276. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57014/4317303. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57015/4317330. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 57016/4317384. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57017/4317411. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 57018/4317474. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (b a))) REDUCED to normal form. ------ 57019/4317501. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 57020/4317510. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57021/4317690. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a b))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a b))) REDUCED to normal form. ------ 57022/4317717. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 57023/4317744. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 57024/4317771. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(b a))) REDUCED to normal form. ------ 57025/4317807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 57026/4317843. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 57027/4317861. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 57028/4317870. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 57029/4317888. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 57030/4317897. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 57031/4317915. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 57032/4317924. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 57033/4317951. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57034/4317969. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 57035/4317978. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a b)(a b))) REDUCED to normal form. ------ 57036/4317996. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 57037/4318131. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57038/4318221. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 57039/4318248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.b))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.b))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 7. ==[ beta ]==> (a ((^y.b)(^y.b))) 8. ==[ alpha ]==> (a ((^x.b)(^y.b))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 57040/4318275. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 57041/4318419. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 57042/4318446. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 57043/4318473. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57044/4318500. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 57045/4318527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 57046/4318554. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 57047/4318644. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 57048/4318680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57049/4318725. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 57050/4318761. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 57051/4318788. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 57052/4318806. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 57053/4318815. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 57054/4318842. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57055/4318887. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 57056/4319058. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57057/4319067. ------ 1. ==[ start ]==> ((a (a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a b))(b (a a))) REDUCED to normal form. ------ 57058/4319157. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b) c)) IRREDUCIBLE: cycle. ------ 57059/4319274. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.b))) REDUCED to normal form. ------ 57060/4319328. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 57061/4319346. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 57062/4319355. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 57063/4319382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57064/4319427. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 57065/4319436. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 57066/4319454. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 57067/4319625. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57068/4319832. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (b ((^x1.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57069/4319922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.a))) REDUCED to normal form. ------ 57070/4319976. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 57071/4320003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(a a))) 7. ==[ beta ]==> (((^y.b)(a a))((^y.b)(a a))) 8. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(a a))) 9. ==[ beta ]==> (b ((^y.b)(a a))) 10. ==[ alpha ]==> (b ((^x.b)(a a))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57072/4320030. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 57073/4320048. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 57074/4320057. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57075/4320084. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 57076/4320273. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 57077/4320336. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 57078/4320372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 57079/4320516. ------ 1. ==[ start ]==> (((a b) c)(b (^c.a))) 2. ==[ alpha ]==> (((a b) c)(b (^x.a))) REDUCED to normal form. ------ 57080/4320543. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.b))) 3. ==[ beta ]==> (((a a) b)(a (^y.b))) 4. ==[ alpha ]==> (((a a) b)(a (^x.b))) REDUCED to normal form. ------ 57081/4320588. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 57082/4320615. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 57083/4320624. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 57084/4320651. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 57085/4320669. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57086/4320705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57087/4320750. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57088/4320759. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 57089/4320786. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 57090/4320813. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 57091/4320849. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 57092/4320876. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a ((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((a a) a))) REDUCED to normal form. ------ 57093/4320903. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a (a b))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 57094/4320930. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 57095/4320957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 10. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57096/4320984. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 57097/4321011. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 57098/4321182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57099/4321371. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a) c)) 3. ==[ beta ]==> ((b a)((^y.a) c)) 4. ==[ alpha ]==> ((b a)((^x.a) c)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 57100/4321434. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 57101/4321452. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 57102/4321461. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(a a))) REDUCED to normal form. ------ 57103/4321515. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57104/4321533. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.(y y)))) 3. ==[ beta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 57105/4321542. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 57106/4321569. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 57107/4321596. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 57108/4321659. ------ 1. ==[ start ]==> (((a a)(b a))(a (a (a a)))) REDUCED to normal form. ------ 57109/4321686. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 57110/4321713. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57111/4321740. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))((a a) a)) REDUCED to normal form. ------ 57112/4321821. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b c)) REDUCED to normal form. ------ 57113/4321920. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57114/4321929. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 57115/4321938. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57116/4322019. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 57117/4322100. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 57118/4322208. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57119/4322217. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 57120/4322235. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 57121/4322244. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 57122/4322261. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(b x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57123/4322262. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57124/4322292. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(a (^z.(^x1.x1))))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 57125/4322589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57126/4327017. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^x1.(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 57127/4327353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a)) a) 2. ==[ alpha ]==> (((^x.(^y.y))(b a)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57128/4327359. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57129/4327386. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 57130/4327389. ------ 1. ==[ start ]==> ((a (a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 57131/4327413. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57132/4327494. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.(a a))(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57133/4327683. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57134/4327686. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 57135/4327695. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57136/4327854. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 57137/4328253. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z a))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 57138/4328532. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))(a (^y.y))) b) 4. ==[ beta ]==> (((a (^y.y))(a (^y.y))) b) 5. ==[ alpha ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 57139/4328775. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 57140/4329249. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 57141/4329738. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 57142/4329843. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57143/4330359. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a)((a a) a)) a) 4. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 57144/4330557. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 57145/4330890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57146/4331061. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 57147/4331274. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(a (^z.z)))) 3. ==[ eta ]==> (b ((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57148/4331727. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 57149/4331823. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57150/4331844. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 57151/4331952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 57152/4332033. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 57153/4332111. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^x1.x1)(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57154/4332114. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 57155/4332123. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57156/4332393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57157/4332420. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(x1 x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 57158/4332429. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 57159/4332447. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57160/4332459. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57161/4332477. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57162/4332486. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 57163/4332504. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 57164/4332513. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 57165/4332531. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((b a) b)) REDUCED to normal form. ------ 57166/4332558. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> (b (((a a)(^y.y)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 57167/4332594. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 57168/4332729. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 57169/4332783. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57170/4332792. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.a)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57171/4332819. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 57172/4332873. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (a ((a a)((^y.y) a))) 8. ==[ alpha ]==> (a ((a a)((^x.x) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 57173/4332900. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 57174/4332954. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 57175/4333062. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> ((^y.(y y))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(b a))) 5. ==[ beta ]==> (((a a)(b a))((a a)(b a))) REDUCED to normal form. ------ 57176/4333125. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57177/4333152. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.a))) REDUCED to normal form. ------ 57178/4333179. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 57179/4333206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 57180/4333260. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 57181/4333296. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 57182/4333323. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 57183/4333350. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 57184/4333368. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a) a)) 3. ==[ beta ]==> ((b b)((b a) a)) REDUCED to normal form. ------ 57185/4333629. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (b a))) REDUCED to normal form. ------ 57186/4333872. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 57187/4333962. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.a))) 5. ==[ beta ]==> (b ((a b)(^y.a))) 6. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 57188/4333989. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 57189/4334043. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 57190/4334070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 57191/4334097. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 57192/4334151. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 57193/4334187. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 57194/4334214. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 57195/4334268. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 57196/4334322. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 57197/4334349. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 57198/4334358. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.b)(b ((^y.y)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 57199/4334439. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a (^z.z)))) IRREDUCIBLE: cycle. ------ 57200/4334520. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 57201/4334547. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 57202/4334574. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 57203/4334637. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 57204/4334664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57205/4334691. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 57206/4334718. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 57207/4334754. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)(a b))(^y.y)) 10. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 57208/4334781. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 57209/4334808. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 57210/4334835. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 57211/4334862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.z))) 7. ==[ beta ]==> (a ((^y.(a a))(^z.z))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 57212/4334889. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 57213/4334907. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 57214/4334916. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 57215/4334943. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 57216/4335033. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a b))) 5. ==[ beta ]==> ((^y.y)(b (a b))) 6. ==[ alpha ]==> ((^x.x)(b (a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 57217/4335114. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 57218/4335123. ------ 1. ==[ start ]==> (((a b) b)((^c.a) c)) 2. ==[ alpha ]==> (((a b) b)((^x.a) c)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 57219/4335168. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 57220/4335195. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57221/4335249. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a b))) 9. ==[ beta ]==> ((^y.y)((a a)(a b))) 10. ==[ alpha ]==> ((^x.x)((a a)(a b))) 11. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 57222/4335285. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.(y y))((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(^y.y))) 7. ==[ beta ]==> (((a b)(^y.y))((a b)(^y.y))) 8. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 57223/4335312. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 57224/4335339. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 57225/4335366. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 57226/4335402. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 57227/4335429. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 57228/4335456. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a b))) 5. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 57229/4335483. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 57230/4335537. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 57231/4335555. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((a (a a)) d)) 3. ==[ beta ]==> (b ((a (a a)) d)) REDUCED to normal form. ------ 57232/4335564. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 57233/4335591. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 57234/4335654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 57235/4335789. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 57236/4335852. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.y))) REDUCED to normal form. ------ 57237/4335906. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.a))) REDUCED to normal form. ------ 57238/4335933. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 57239/4335987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57240/4336014. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 57241/4336041. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 57242/4336131. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 57243/4336293. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 57244/4336347. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 57245/4336374. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57246/4336545. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c ((^z.z) a))) 3. ==[ beta ]==> (b (c ((^z.z) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 57247/4336608. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 57248/4336653. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(a (a (^x.x)))) REDUCED to normal form. ------ 57249/4336680. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 57250/4336743. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 57251/4336797. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 57252/4336824. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 57253/4336851. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 57254/4336878. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 57255/4336923. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 57256/4336941. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(x x))) REDUCED to normal form. ------ 57257/4337022. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.a))) REDUCED to normal form. ------ 57258/4337049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 57259/4337076. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 57260/4337103. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 57261/4337130. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 57262/4337157. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 57263/4337211. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 57264/4337220. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57265/4337301. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c a)) 5. ==[ beta ]==> ((a a)(c a)) REDUCED to normal form. ------ 57266/4337382. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 57267/4337490. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57268/4337499. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 57269/4337517. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 57270/4337526. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 57271/4337544. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57272/4342644. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a)) b) 2. ==[ alpha ]==> (((^x.(^y.y))(b a)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 57273/4342668. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57274/4342686. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1))))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 57275/4342698. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 57276/4342713. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57277/4342911. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (^x.((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (^x.((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 57278/4342995. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57279/4343292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57280/4343478. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57281/4343604. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57282/4343841. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 57283/4344369. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57284/4344813. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 57285/4344936. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a (a a)))((^z.(^x1.x1))(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a (a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a (a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57286/4345461. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 57287/4345857. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 57288/4346028. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((a a) a))) 3. ==[ beta ]==> (((a a) b)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 57289/4346574. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.(^z.z)))) 3. ==[ eta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 57290/4346667. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 57291/4346811. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 57292/4346919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 57293/4346937. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57294/4347123. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57295/4347144. ------ 1. ==[ start ]==> (((a a)(b a))(^c.d)) 2. ==[ alpha ]==> (((a a)(b a))(^x.d)) REDUCED to normal form. ------ 57296/4347423. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57297/4347504. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 57298/4347693. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57299/4347702. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.b)) REDUCED to normal form. ------ 57300/4347720. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 57301/4347729. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 57302/4347747. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57303/4347777. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 57304/4347795. ------ 1. ==[ start ]==> ((a (a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57305/4347804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 57306/4347822. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 57307/4347831. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 57308/4347912. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57309/4347939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 57310/4347993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57311/4348020. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 57312/4348056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 57313/4348101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57314/4348137. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(a a))) REDUCED to normal form. ------ 57315/4348164. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57316/4348191. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 57317/4348218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a (a a)))) REDUCED to normal form. ------ 57318/4348245. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 57319/4348353. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 57320/4348398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57321/4348479. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 57322/4348506. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 57323/4348560. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 57324/4348587. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 57325/4348605. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 57326/4348686. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a) a)) REDUCED to normal form. ------ 57327/4348713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 57328/4348722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57329/4348749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57330/4348857. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((^y.(y y))(^z.b)) 8. ==[ alpha ]==> ((^x.(x x))(^y.b)) 9. ==[ beta ]==> ((^y.b)(^y.b)) 10. ==[ alpha ]==> ((^x.b)(^y.b)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 57331/4348884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57332/4348920. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 57333/4348947. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 57334/4348974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> (((a a)(^y.y))(a a)) 8. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 57335/4349010. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 57336/4349181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 57337/4349235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57338/4349343. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57339/4349397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a b))) 7. ==[ beta ]==> ((a a)((^y.a)(a b))) 8. ==[ alpha ]==> ((a a)((^x.a)(a b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57340/4349478. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 57341/4349496. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a)((a a) a))((a a) b)) REDUCED to normal form. ------ 57342/4349523. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) c)) REDUCED to normal form. ------ 57343/4349649. ------ 1. ==[ start ]==> (((^a.b) a)(c (a b))) 2. ==[ alpha ]==> (((^x.b) a)(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 57344/4349667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 57345/4349811. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a) b)(a (a a))) REDUCED to normal form. ------ 57346/4349838. ------ 1. ==[ start ]==> (((a b) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 57347/4349865. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 57348/4349919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 57349/4350018. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57350/4350045. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 57351/4350063. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 57352/4350117. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 57353/4350144. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(a a)))) REDUCED to normal form. ------ 57354/4350171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (a (((^y.y)(a a)) a)) 8. ==[ alpha ]==> (a (((^x.x)(a a)) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 57355/4350198. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b) b)) REDUCED to normal form. ------ 57356/4350225. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a) c)) REDUCED to normal form. ------ 57357/4350261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57358/4350288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57359/4350342. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57360/4350432. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 57361/4350459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 57362/4350486. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 57363/4350513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 57364/4350558. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 9. ==[ beta ]==> ((^y.y)(b (^z.b))) 10. ==[ alpha ]==> ((^x.x)(b (^y.b))) 11. ==[ beta ]==> (b (^y.b)) 12. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 57365/4350567. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 57366/4350639. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57367/4350711. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 57368/4350738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 57369/4350765. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 57370/4350792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b) a)) REDUCED to normal form. ------ 57371/4350819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a) b)) 5. ==[ beta ]==> ((a (a a))(((a a) a) b)) REDUCED to normal form. ------ 57372/4350963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57373/4351098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 57374/4351107. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 57375/4351134. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)((a a) a))) 3. ==[ beta ]==> (((a a) b)((a a)((a a) a))) REDUCED to normal form. ------ 57376/4351206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57377/4351260. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 57378/4351341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57379/4351494. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a) a)) 3. ==[ beta ]==> ((a (a b))((^y.a) a)) 4. ==[ alpha ]==> ((a (a b))((^x.a) a)) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 57380/4351521. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 57381/4351656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 57382/4351683. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 57383/4351773. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57384/4351854. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57385/4351917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 57386/4352025. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 57387/4352043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 57388/4352106. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 57389/4352124. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57390/4352232. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 57391/4352277. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 57392/4352304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) b)) 5. ==[ beta ]==> ((a (a a))((^y.a) b)) 6. ==[ alpha ]==> ((a (a a))((^x.a) b)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 57393/4352331. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 57394/4352385. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 57395/4352412. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57396/4352439. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.a))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 57397/4352466. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 57398/4352511. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57399/4352529. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57400/4352610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.a))) 5. ==[ beta ]==> ((a a)(a (^z.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 57401/4352691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57402/4352799. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57403/4352808. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 57404/4352826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57405/4352835. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 57406/4352853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57407/4357962. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a)) c) 2. ==[ alpha ]==> (((^x.(^y.y))(b a)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 57408/4358034. ------ 1. ==[ start ]==> (((a a) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 57409/4358076. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57410/4358310. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (b a))) 3. ==[ eta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 57411/4358580. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))((a a)(^z.z)))(((a (^y.y))((a a)(^z.z)))((a (^y.y))((a a)(^z.z))))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a (^z.z))((a a)(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1))))) REDUCED to normal form. ------ 57412/4358805. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57413/4358898. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(y a))) 3. ==[ beta ]==> ((b b)(^y.(y a))) 4. ==[ alpha ]==> ((b b)(^x.(x a))) REDUCED to normal form. ------ 57414/4359363. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((((^y.y) a)(a b))(((^y.y) a)(a b)))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((((^x.x) a)(a b))(((^y.y) a)(a b)))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((a (a b))(((^y.y) a)(a b)))(((^z.z) a)(a b))) 6. ==[ alpha ]==> (((a (a b))(((^x.x) a)(a b)))(((^y.y) a)(a b))) 7. ==[ beta ]==> (((a (a b))(a (a b)))(((^y.y) a)(a b))) 8. ==[ alpha ]==> (((a (a b))(a (a b)))(((^x.x) a)(a b))) 9. ==[ beta ]==> (((a (a b))(a (a b)))(a (a b))) REDUCED to normal form. ------ 57415/4359681. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 57416/4359696. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57417/4359876. ------ 1. ==[ start ]==> ((^a.(a b))(c (a b))) 2. ==[ alpha ]==> ((^x.(x b))(c (a b))) 3. ==[ beta ]==> ((c (a b)) b) REDUCED to normal form. ------ 57418/4360263. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))) 7. ==[ beta ]==> (^x.((^z.(z z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))) 8. ==[ alpha ]==> (^x.((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1))))) 9. ==[ beta ]==> (^x.((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))) 10. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) IRREDUCIBLE: cycle. ------ 57419/4360815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(y y)))) 7. ==[ beta ]==> ((^y.(^z.(y y)))(^y.(^z.(y y)))) 8. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 9. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 10. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 11. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 12. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 13. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 57420/4361382. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.b))) REDUCED to normal form. ------ 57421/4361544. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 57422/4361715. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((y y) y))) 3. ==[ beta ]==> ((a (a b))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (a b))(^x.((x x) x))) REDUCED to normal form. ------ 57423/4361994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57424/4362138. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57425/4362273. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57426/4362381. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 57427/4362498. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 57428/4362738. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 57429/4362831. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.c)) 5. ==[ beta ]==> ((a a)(^z.c)) 6. ==[ alpha ]==> ((a a)(^x.c)) REDUCED to normal form. ------ 57430/4363029. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a a))) REDUCED to normal form. ------ 57431/4363056. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 57432/4363074. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.a)) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 57433/4363122. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57434/4363140. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57435/4363149. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 57436/4363167. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 57437/4363176. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 57438/4363194. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 57439/4363257. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 57440/4363284. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 57441/4363338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 57442/4363392. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57443/4363428. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (b a))) 3. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 57444/4363464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57445/4363617. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 57446/4363644. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 57447/4363671. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 57448/4363698. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 57449/4363788. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 57450/4363815. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 57451/4363824. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 57452/4363842. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 57453/4363851. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 57454/4363905. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 57455/4363923. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 57456/4364013. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(b a))) 3. ==[ beta ]==> ((b b)((^y.y)(b a))) 4. ==[ alpha ]==> ((b b)((^x.x)(b a))) 5. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 57457/4364058. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57458/4364148. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 57459/4364175. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 57460/4364202. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 57461/4364229. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 57462/4364256. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 57463/4364346. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 57464/4364373. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a b) a)) REDUCED to normal form. ------ 57465/4364400. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 57466/4364427. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 57467/4364454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 57468/4364481. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a ((a a) a))(a (a b))) REDUCED to normal form. ------ 57469/4364571. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a (((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 57470/4364607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 57471/4364634. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 57472/4364652. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 57473/4364679. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57474/4364688. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 57475/4364715. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 57476/4364733. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.b))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 9. ==[ beta ]==> ((a a)(a (^y.b))) 10. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 57477/4364742. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 57478/4364769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57479/4364796. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 57480/4364814. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 57481/4364985. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57482/4364994. ------ 1. ==[ start ]==> ((a (a b))(c (a b))) REDUCED to normal form. ------ 57483/4365084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) b)) IRREDUCIBLE: cycle. ------ 57484/4365255. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 57485/4365309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57486/4365336. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 57487/4365354. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 57488/4365363. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 57489/4365381. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 57490/4365552. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57491/4365759. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (b ((^x1.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57492/4365903. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 57493/4365930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(a a)))) 7. ==[ beta ]==> ((a (^y.(a a)))(a (^y.(a a)))) 8. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 57494/4365957. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 57495/4365975. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 57496/4365984. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 57497/4366011. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 57498/4366200. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57499/4366443. ------ 1. ==[ start ]==> (((a b) c)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(^y.y)))) REDUCED to normal form. ------ 57500/4366470. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.a))) 3. ==[ beta ]==> (((a a) b)(b (^y.a))) 4. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 57501/4366497. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 57502/4366515. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 57503/4366542. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57504/4366551. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 57505/4366578. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.b))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 57506/4366596. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 57507/4366632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57508/4366659. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 57509/4366677. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 57510/4366686. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 57511/4366713. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57512/4366740. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 57513/4366803. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 57514/4366830. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a ((a a) a))) 3. ==[ beta ]==> ((a (a b))(a ((a a) a))) REDUCED to normal form. ------ 57515/4366857. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 57516/4366884. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 9. ==[ beta ]==> ((a (a a))(a (^y.y))) 10. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 57517/4366911. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 57518/4366938. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 57519/4366965. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 57520/4367109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 57521/4367190. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a) c)) 3. ==[ beta ]==> (b (((^z.z) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 57522/4367253. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 57523/4367298. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) b)) 3. ==[ beta ]==> ((b a)((^y.(y y)) b)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) b)) 5. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 57524/4367325. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57525/4367361. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 57526/4367388. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 57527/4367442. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 57528/4367460. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 57529/4367469. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 57530/4367496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 57531/4367523. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 57532/4367586. ------ 1. ==[ start ]==> (((a a)(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(b ((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))(b a)) REDUCED to normal form. ------ 57533/4367613. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 57534/4367640. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 57535/4367667. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57536/4367694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 57537/4367748. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c b)) REDUCED to normal form. ------ 57538/4367775. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b c)) 3. ==[ beta ]==> (((a a)((^y.y) a))(b c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b c)) 5. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 57539/4367847. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57540/4367856. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 57541/4367946. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z) c)) 5. ==[ beta ]==> ((a a)((^z.z) c)) 6. ==[ alpha ]==> ((a a)((^x.x) c)) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 57542/4368027. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (b ((a (^x1.x1)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 57543/4368135. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57544/4368144. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 57545/4368162. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 57546/4368171. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 57547/4368189. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57548/4368215. ------ 1. ==[ start ]==> (^a.((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.x)((x x)(^z.z)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 57549/4368216. ------ 1. ==[ start ]==> (a ((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57550/4368273. ------ 1. ==[ start ]==> ((^a.b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57551/4373340. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57552/4373367. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(b a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57553/4373394. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57554/4373397. ------ 1. ==[ start ]==> ((a b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 57555/4373703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 57556/4373835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 57557/4373973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(b a))) 3. ==[ beta ]==> ((^y.y)(^x1.(b a))) 4. ==[ alpha ]==> ((^x.x)(^y.(b a))) 5. ==[ beta ]==> (^y.(b a)) 6. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 57558/4374252. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 57559/4374261. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x a))) REDUCED to normal form. ------ 57560/4375230. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^z.b)) b) 4. ==[ alpha ]==> (((^x.a)(^y.b)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 57561/4375746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (a (^y.((^z.z)(a a)))) 8. ==[ alpha ]==> (a (^x.((^y.y)(a a)))) 9. ==[ beta ]==> (a (^x.(a a))) REDUCED to normal form. ------ 57562/4376367. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a (a a))((^x.x)(^y.y))) a) 4. ==[ beta ]==> (((a (a a))(^y.y)) a) 5. ==[ alpha ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 57563/4376499. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((a a)(^x1.x1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57564/4377069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 57565/4377255. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57566/4377618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 57567/4377735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 57568/4377852. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 57569/4377960. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 57570/4378041. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 57571/4378092. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57572/4378185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 57573/4378266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 57574/4378401. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 57575/4378428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(z z))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 57576/4378467. ------ 1. ==[ start ]==> ((a a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57577/4378494. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 57578/4378512. ------ 1. ==[ start ]==> (((a a) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57579/4378521. ------ 1. ==[ start ]==> ((a b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 57580/4378539. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 57581/4378566. ------ 1. ==[ start ]==> (((^a.a) b)((b a) b)) 2. ==[ alpha ]==> (((^x.x) b)((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 57582/4378737. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 57583/4378764. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 57584/4378800. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (b a))) 3. ==[ beta ]==> ((^y.a)(b (b a))) 4. ==[ alpha ]==> ((^x.a)(b (b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57585/4378827. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 57586/4378836. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 57587/4378881. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57588/4378890. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 57589/4378908. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57590/4378962. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 57591/4379070. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^y.y))((a a)(^z.z)))((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 57592/4379097. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 57593/4379133. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(^y.y))) 3. ==[ beta ]==> ((a b)((b a)(^y.y))) 4. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 57594/4379160. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57595/4379187. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 57596/4379214. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.(z z)))) REDUCED to normal form. ------ 57597/4379241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 57598/4379304. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 57599/4379331. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 57600/4379358. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 57601/4379385. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(b a))) 3. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 57602/4379637. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 57603/4379880. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 57604/4379970. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 57605/4379997. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.a))) REDUCED to normal form. ------ 57606/4380051. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 57607/4380105. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.b))) REDUCED to normal form. ------ 57608/4380132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57609/4380222. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 57610/4380249. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 57611/4380303. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 57612/4380357. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 57613/4380366. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (a b))) 3. ==[ beta ]==> ((^y.b)(c (a b))) 4. ==[ alpha ]==> ((^x.b)(c (a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 57614/4380447. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a a))) IRREDUCIBLE: cycle. ------ 57615/4380510. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a) d)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a) d)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 57616/4380528. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 57617/4380555. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 57618/4380582. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 57619/4380636. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 57620/4380672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57621/4380699. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 57622/4380726. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 57623/4380762. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 57624/4380789. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 57625/4380816. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a) a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 57626/4380843. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 57627/4380870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 57628/4380897. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 57629/4380915. ------ 1. ==[ start ]==> (((^a.b) b)((a b) b)) 2. ==[ alpha ]==> (((^x.b) b)((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 57630/4380924. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 57631/4381041. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((a a) a))) 5. ==[ beta ]==> ((^y.y)(c ((a a) a))) 6. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 7. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 57632/4381122. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 57633/4381131. ------ 1. ==[ start ]==> (((a b) b)((^a.b) b)) 2. ==[ alpha ]==> (((a b) b)((^x.b) b)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 57634/4381176. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57635/4381203. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 57636/4381257. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 11. ==[ beta ]==> ((a (^y.y))((a a) a)) 12. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 57637/4381320. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 57638/4381347. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 57639/4381374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 57640/4381410. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 57641/4381437. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 57642/4381464. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 57643/4381491. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 57644/4381518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.y))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 57645/4381563. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 57646/4381572. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 57647/4381599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 57648/4381626. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 57649/4381662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 57650/4381797. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 57651/4381914. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 57652/4381941. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 57653/4381995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57654/4382049. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 57655/4382076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 57656/4382139. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 57657/4382166. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 57658/4382193. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a b))(^y.a)) 6. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 57659/4382301. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.(y y)))) 3. ==[ beta ]==> (((a b) a)(c (^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)(c (^x.(x x)))) REDUCED to normal form. ------ 57660/4382328. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 57661/4382382. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 57662/4382661. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(a a))) 3. ==[ beta ]==> ((b a)((a (a a))(a a))) REDUCED to normal form. ------ 57663/4382688. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 57664/4382742. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 57665/4382805. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 57666/4382823. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 57667/4382832. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 57668/4382859. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 57669/4382886. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 57670/4382949. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 57671/4382976. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 57672/4383030. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 57673/4383057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.a))) 5. ==[ beta ]==> (((a a) a)(b (^y.a))) 6. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 57674/4383084. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 57675/4383111. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 57676/4383138. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 57677/4383165. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 57678/4383210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57679/4383219. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 57680/4383228. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57681/4383309. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 57682/4383390. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 57683/4383498. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57684/4383507. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.z))) REDUCED to normal form. ------ 57685/4383525. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 57686/4383534. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 57687/4383552. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 57688/4383645. ------ 1. ==[ start ]==> ((^a.b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57689/4385301. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57690/4388730. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57691/4388775. ------ 1. ==[ start ]==> ((^a.b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57692/4388778. ------ 1. ==[ start ]==> ((a b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 57693/4388787. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 57694/4388811. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57695/4388973. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57696/4389084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57697/4389093. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 57698/4389540. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57699/4389666. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57700/4389930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.z)) b) 4. ==[ beta ]==> (((^y.y)(^z.z)) b) 5. ==[ alpha ]==> (((^x.x)(^y.y)) b) 6. ==[ beta ]==> ((^y.y) b) 7. ==[ alpha ]==> ((^x.x) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 57701/4390431. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57702/4390434. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 57703/4390998. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.a)((^x1.x1) a))((^z.a)((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.a)((^z.z) a))((^x1.a)((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((^z.z) a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 57704/4392135. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 57705/4392297. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 57706/4392636. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57707/4393008. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 57708/4393185. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57709/4393473. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x1.x1)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 57710/4393647. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 57711/4393755. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57712/4393782. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 57713/4393791. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 57714/4393809. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57715/4393866. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 57716/4393893. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57717/4393911. ------ 1. ==[ start ]==> ((a b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57718/4393920. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 57719/4393947. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 57720/4393965. ------ 1. ==[ start ]==> (((a a)(a a))((b a) b)) REDUCED to normal form. ------ 57721/4394028. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57722/4394055. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 57723/4394109. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 57724/4394217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57725/4394226. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 57726/4394253. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(a a))) 3. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 57727/4394280. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 57728/4394307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 57729/4394334. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 57730/4394442. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 57731/4394595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57732/4394676. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57733/4394694. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.b))) REDUCED to normal form. ------ 57734/4394721. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 57735/4394802. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) a)) 3. ==[ beta ]==> ((a (^y.y))((b a) a)) 4. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 57736/4394892. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.b)(^z.(z z))) 8. ==[ alpha ]==> ((^x.b)(^y.(y y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 57737/4394946. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57738/4394973. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 57739/4395009. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(c ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(c (a a))) REDUCED to normal form. ------ 57740/4395036. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 57741/4395063. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (b a))) 5. ==[ beta ]==> ((^y.y)(a (b a))) 6. ==[ alpha ]==> ((^x.x)(a (b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 57742/4395126. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 57743/4395270. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 57744/4395405. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 57745/4395486. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(y y))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 9. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 57746/4395567. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 57747/4395585. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 57748/4395612. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 57749/4395639. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b) c)) 3. ==[ beta ]==> ((a (a (a a)))((a b) c)) REDUCED to normal form. ------ 57750/4395756. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 57751/4395900. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)(((a a) a) a)) REDUCED to normal form. ------ 57752/4395927. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b) a)(a (a a))) REDUCED to normal form. ------ 57753/4395954. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 57754/4396008. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 57755/4396026. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 57756/4396035. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 57757/4396107. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57758/4396134. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 57759/4396152. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 57760/4396179. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 57761/4396233. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 57762/4396260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(a a)))) 7. ==[ beta ]==> (a ((a a)(^y.(a a)))) 8. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 57763/4396287. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 57764/4396314. ------ 1. ==[ start ]==> (((a b)(a a))((a b) b)) REDUCED to normal form. ------ 57765/4396350. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57766/4396377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57767/4396431. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 57768/4396521. ------ 1. ==[ start ]==> (((a b) b)((a b)(a a))) REDUCED to normal form. ------ 57769/4396548. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 57770/4396575. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 57771/4396602. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 57772/4396656. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 57773/4396683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a b))) 5. ==[ beta ]==> ((^y.(y y))((a a)(a b))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(a b))) 7. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 57774/4396728. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (b ((^z.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57775/4396800. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 57776/4396827. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 57777/4396881. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 57778/4396908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b) a)) 5. ==[ beta ]==> ((a (a a))((a b) a)) REDUCED to normal form. ------ 57779/4396935. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a) b)) REDUCED to normal form. ------ 57780/4396962. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) c)) 5. ==[ beta ]==> (((a b)(a (^x.x))) c) REDUCED to normal form. ------ 57781/4397052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57782/4397196. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a b) c)(a (a (a a)))) REDUCED to normal form. ------ 57783/4397223. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 57784/4397250. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((a a) a))) REDUCED to normal form. ------ 57785/4397268. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 57786/4397349. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 57787/4397430. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 57788/4397637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 9. ==[ beta ]==> ((^y.(^z.z)) b) 10. ==[ alpha ]==> ((^x.(^y.y)) b) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57789/4397772. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 57790/4397862. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57791/4397943. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57792/4398006. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (a (a a)))) REDUCED to normal form. ------ 57793/4398114. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 57794/4398132. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(x x)))) REDUCED to normal form. ------ 57795/4398141. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 57796/4398213. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57797/4398222. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c c)) REDUCED to normal form. ------ 57798/4398321. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 57799/4398339. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x)) c)) REDUCED to normal form. ------ 57800/4398393. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(y y)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(x x)) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 57801/4398420. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 57802/4398501. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 57803/4398528. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57804/4398555. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 57805/4398609. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z)) b)) REDUCED to normal form. ------ 57806/4398618. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57807/4398699. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 57808/4398780. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 57809/4398888. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57810/4398897. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b a)) REDUCED to normal form. ------ 57811/4398915. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 57812/4398924. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 57813/4398942. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57814/4400700. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57815/4404204. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 57816/4404219. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57817/4404501. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 57818/4404723. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z)(a a)))((((^y.y) a)((^z.z)(a a)))(((^y.y) a)((^z.z)(a a))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((((^z.z) a)((^x1.x1)(a a)))(((^y1.y1) a)((^z1.z1)(a a))))) 5. ==[ beta ]==> ((a ((^y.y)(a a)))((((^z.z) a)((^x1.x1)(a a)))(((^y1.y1) a)((^z1.z1)(a a))))) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))((((^y.y) a)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a))))) 7. ==[ beta ]==> ((a (a a))((((^y.y) a)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a))))) 8. ==[ alpha ]==> ((a (a a))((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))) 9. ==[ beta ]==> ((a (a a))((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))) 10. ==[ alpha ]==> ((a (a a))((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a))))) 11. ==[ beta ]==> ((a (a a))((a (a a))(((^y.y) a)((^z.z)(a a))))) 12. ==[ alpha ]==> ((a (a a))((a (a a))(((^x.x) a)((^y.y)(a a))))) 13. ==[ beta ]==> ((a (a a))((a (a a))(a ((^y.y)(a a))))) 14. ==[ alpha ]==> ((a (a a))((a (a a))(a ((^x.x)(a a))))) 15. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 57819/4404798. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 57820/4404948. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57821/4405506. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((a (a a))((a a) a))((a (a a))((a a) a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 57822/4405839. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57823/4405842. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57824/4406337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57825/4406406. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.a))(((a a) a)(^z.a)))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.a))(((a a) a)(^z.a)))) REDUCED to normal form. ------ 57826/4406985. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 57827/4407705. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 57828/4407714. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 57829/4407885. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 57830/4408551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 57831/4408593. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 57832/4408668. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y (y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y (y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (x x)))) REDUCED to normal form. ------ 57833/4409055. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 57834/4409163. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57835/4409172. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 57836/4409199. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 57837/4409217. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.a)) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 57838/4409292. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (a ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57839/4409319. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 57840/4409337. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57841/4409346. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 57842/4409364. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 57843/4409373. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 57844/4409427. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 57845/4409454. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 57846/4409481. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 57847/4409562. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57848/4409643. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 57849/4409787. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 57850/4409814. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 57851/4409841. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))(a b))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a b))) REDUCED to normal form. ------ 57852/4409868. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a (a a))) REDUCED to normal form. ------ 57853/4409940. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 57854/4409958. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 57855/4409985. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 57856/4410012. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 57857/4410021. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 57858/4410048. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 57859/4410066. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 57860/4410093. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 57861/4410183. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 57862/4410228. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57863/4410255. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 57864/4410318. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 57865/4410372. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 57866/4410399. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 57867/4410426. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 57868/4410516. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 57869/4410543. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 57870/4410570. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 57871/4410597. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 57872/4410624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57873/4410651. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 57874/4410777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 57875/4410804. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 57876/4410822. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.a))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 57877/4410849. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 57878/4410858. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 57879/4410885. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 57880/4410912. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 57881/4410939. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57882/4410966. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 57883/4410984. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 57884/4411155. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57885/4411335. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a) d)) 3. ==[ beta ]==> (b ((^z.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57886/4411425. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 57887/4411452. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 57888/4411479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57889/4411506. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 57890/4411524. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 57891/4411533. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 57892/4411551. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 57893/4411722. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 57894/4411767. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a) c)) 3. ==[ beta ]==> ((^y.(a a))(((a a) a) c)) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57895/4411929. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (b ((^x1.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 57896/4412073. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 57897/4412100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.b))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.b))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.b))) 7. ==[ beta ]==> ((b (^y.b))(b (^y.b))) 8. ==[ alpha ]==> ((b (^x.b))(b (^y.b))) REDUCED to normal form. ------ 57898/4412127. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 57899/4412145. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 57900/4412154. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 57901/4412370. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 57902/4412613. ------ 1. ==[ start ]==> (((a b) c)(d (^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(d (^x.(x x)))) REDUCED to normal form. ------ 57903/4412640. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 57904/4412667. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 57905/4412712. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 57906/4412721. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 57907/4412748. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 57908/4412766. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.a))) REDUCED to normal form. ------ 57909/4412802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57910/4412829. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 57911/4412847. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 57912/4412856. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 57913/4412910. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 57914/4413000. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(b (^y.y))) 6. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 57915/4413027. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 57916/4413054. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 9. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 11. ==[ beta ]==> ((^y.y)(a a)) 12. ==[ alpha ]==> ((^x.x)(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57917/4413081. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 57918/4413108. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b) a)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b) a)(a ((^x.x) a))) 7. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 57919/4413135. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 57920/4413162. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 57921/4413279. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 57922/4413360. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 57923/4413423. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 57924/4413468. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 57925/4413495. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57926/4413531. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 57927/4413558. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 57928/4413612. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 57929/4413630. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 57930/4413639. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 57931/4413666. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 57932/4413693. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 57933/4413738. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 57934/4413756. ------ 1. ==[ start ]==> (((a a)(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (a (^x.x)))) REDUCED to normal form. ------ 57935/4413783. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 57936/4413810. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a (a a)))) REDUCED to normal form. ------ 57937/4413837. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a (a a))(a b))(a (a a))) REDUCED to normal form. ------ 57938/4413864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 57939/4413891. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 57940/4413972. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b c)) REDUCED to normal form. ------ 57941/4414017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57942/4414035. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 57943/4414116. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 57944/4414197. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 57945/4414305. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57946/4414314. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 57947/4414332. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 57948/4414341. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 57949/4414359. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57950/4414412. ------ 1. ==[ start ]==> (^a.((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(x x)))) 3. ==[ beta ]==> (^x.(((^z.z)(x x))((^z.z)(x x)))) 4. ==[ alpha ]==> (^x.(((^y.y)(x x))((^z.z)(x x)))) 5. ==[ beta ]==> (^x.((x x)((^z.z)(x x)))) 6. ==[ alpha ]==> (^x.((x x)((^y.y)(x x)))) 7. ==[ beta ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 57951/4414413. ------ 1. ==[ start ]==> (a ((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 57952/4415361. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57953/4418331. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.y))) 3. ==[ eta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 57954/4419558. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a))) a) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a))) a) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a))) a) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a))) a) 5. ==[ beta ]==> (((a a)((^y.y)(a a))) a) 6. ==[ alpha ]==> (((a a)((^x.x)(a a))) a) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 57955/4419564. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 57956/4419591. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)((a a)(^z.z)))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 57957/4419618. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 57958/4419888. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 57959/4420059. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 57960/4420509. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 57961/4420512. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 57962/4421034. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (a (^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 57963/4421295. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 57964/4421454. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^z.a)) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.a)) b) 5. ==[ beta ]==> (((^y.a)(^y.a)) b) 6. ==[ alpha ]==> (((^x.a)(^y.a)) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 57965/4421547. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 57966/4421997. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 57967/4422048. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 57968/4422222. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 57969/4422618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (a a))) a) 4. ==[ beta ]==> (((^y.y)(a (a a))) a) 5. ==[ alpha ]==> (((^x.x)(a (a a))) a) 6. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 57970/4422723. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.(x1 x1)))((^z.(z z))(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(^y1.y1)) IRREDUCIBLE: cycle. ------ 57971/4423149. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 57972/4423320. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 57973/4423479. ------ 1. ==[ start ]==> ((^a.(b a))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.a))) 3. ==[ eta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 57974/4423482. ------ 1. ==[ start ]==> ((a (b a))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 57975/4423761. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 57976/4424103. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 57977/4424211. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 57978/4424316. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^x1.a)(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 57979/4424607. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 57980/4424652. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 57981/4424706. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 57982/4424718. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 57983/4424745. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 57984/4424772. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 57985/4424790. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 57986/4424817. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 57987/4424826. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 57988/4424844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 57989/4424871. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 57990/4424988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 57991/4425015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 57992/4425042. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 57993/4425051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.a)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.a)(c ((a a)(^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 57994/4425078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 57995/4425114. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 57996/4425132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(a a))) 5. ==[ beta ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 57997/4425159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 57998/4425213. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 57999/4425321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)(a a)))(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 11. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 12. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 13. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 58000/4425348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 58001/4425411. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.x))) REDUCED to normal form. ------ 58002/4425438. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 58003/4425465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 58004/4425492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 58005/4425519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 58006/4425555. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 58007/4425582. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 58008/4425609. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 58009/4425627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 58010/4425636. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 58011/4425663. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 58012/4426131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 58013/4426185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (a ((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 58014/4426221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 58015/4426248. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 58016/4426302. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 58017/4426329. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 58018/4426356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 58019/4426383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58020/4426410. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 58021/4426446. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 58022/4426500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 58023/4426527. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 58024/4426581. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 58025/4426608. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 58026/4426698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a)(^z.z)))) IRREDUCIBLE: cycle. ------ 58027/4426761. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b) c)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 58028/4426779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (b (((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 58029/4426788. ------ 1. ==[ start ]==> (((a b) a)((^c.a) d)) 2. ==[ alpha ]==> (((a b) a)((^x.a) d)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 58030/4426806. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 58031/4426833. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 58032/4426887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 58033/4426950. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 58034/4426977. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 58035/4427013. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 58036/4427040. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 58037/4427067. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 13. ==[ beta ]==> ((a (^x.x))(^z.z)) 14. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 58038/4427094. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 58039/4427121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 7. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58040/4427148. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 58041/4427166. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 58042/4427175. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 58043/4427202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 58044/4427373. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 58045/4427382. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 58046/4427409. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b) b)) 3. ==[ beta ]==> (((a a) a)((^y.b) b)) 4. ==[ alpha ]==> (((a a) a)((^x.b) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 58047/4427427. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 58048/4427436. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 58049/4427454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 58050/4427508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 13. ==[ beta ]==> (a ((^y.y)(^z.z))) 14. ==[ alpha ]==> (a ((^x.x)(^y.y))) 15. ==[ beta ]==> (a (^y.y)) 16. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58051/4427598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 58052/4427625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 58053/4427661. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 58054/4427688. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 58055/4427715. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 58056/4427742. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 58057/4427769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 58058/4427796. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 58059/4427814. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 58060/4427823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 58061/4427850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 58062/4427877. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 58063/4427913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 58064/4428048. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 58065/4428057. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a)) d)) 2. ==[ alpha ]==> (((a b) c)((^x.(x x)) d)) 3. ==[ beta ]==> (((a b) c)(d d)) REDUCED to normal form. ------ 58066/4428129. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 58067/4428165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 58068/4428192. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 58069/4428246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58070/4428273. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 58071/4428300. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 58072/4428327. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 58073/4428354. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 58074/4428390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 58075/4428417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 58076/4428444. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 58077/4428606. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 58078/4428633. ------ 1. ==[ start ]==> ((a (b a))(a (^c.a))) 2. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 58079/4428723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c d)) 3. ==[ beta ]==> (((^y.b)(^y.b))(c d)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c d)) 5. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 58080/4428912. ------ 1. ==[ start ]==> (((^a.a)(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 58081/4428939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 58082/4428975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 58083/4428993. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 58084/4429056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 58085/4429083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58086/4429110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 58087/4429137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 58088/4429200. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 58089/4429227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 58090/4429254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 58091/4429335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 58092/4429362. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 58093/4429389. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 58094/4429416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 58095/4429461. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58096/4429470. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 58097/4429560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(a a))) 5. ==[ beta ]==> ((a a)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 58098/4429641. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 58099/4429749. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58100/4429758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 58101/4429776. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 58102/4429785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 58103/4429803. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 58104/4429857. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a a)) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 58105/4429865. ------ 1. ==[ start ]==> (^a.((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.(x x)))) REDUCED to normal form. ------ 58106/4429866. ------ 1. ==[ start ]==> (a ((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 58107/4429959. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58108/4435011. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a))) b) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a))) b) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a))) b) 5. ==[ beta ]==> (((a a)((^y.y)(a a))) b) 6. ==[ alpha ]==> (((a a)((^x.x)(a a))) b) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 58109/4435020. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a))) a) 2. ==[ alpha ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 58110/4435026. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(a a))) 4. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 58111/4435035. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58112/4435116. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58113/4435119. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 58114/4435161. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a) b)) 3. ==[ beta ]==> (((b a) b)(^y.y)) 4. ==[ alpha ]==> (((b a) b)(^x.x)) REDUCED to normal form. ------ 58115/4435278. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 58116/4435425. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 58117/4435695. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(b a))) 3. ==[ beta ]==> ((a b)(^y.(b a))) 4. ==[ alpha ]==> ((a b)(^x.(b a))) REDUCED to normal form. ------ 58118/4435713. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58119/4435845. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58120/4435983. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58121/4436736. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58122/4437009. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 58123/4437234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58124/4437303. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.b)(a (^x1.x1)))((^z.b)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.b)(a (^z.z)))((^x1.b)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(a (^z.z))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 58125/4437510. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b) b)) 3. ==[ beta ]==> ((^y.y)(((a b) b)((a b) b))) 4. ==[ alpha ]==> ((^x.x)(((a b) b)((a b) b))) 5. ==[ beta ]==> (((a b) b)((a b) b)) REDUCED to normal form. ------ 58126/4437684. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 58127/4437693. ------ 1. ==[ start ]==> (((a b) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a b) b)(^x.(x x))) REDUCED to normal form. ------ 58128/4437882. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 58129/4437900. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 58130/4438467. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 58131/4439223. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58132/4439490. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58133/4439778. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((((^x1.x1) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 58134/4440087. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58135/4440114. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 58136/4440168. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.z))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 58137/4440177. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 58138/4440189. ------ 1. ==[ start ]==> ((a a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 58139/4440198. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 58140/4440225. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58141/4440252. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58142/4440279. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 58143/4440297. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 58144/4440324. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a) b)) REDUCED to normal form. ------ 58145/4440387. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 58146/4440414. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58147/4440441. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 58148/4440522. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 58149/4440558. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (b a))) REDUCED to normal form. ------ 58150/4440585. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 58151/4440612. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(a a))) REDUCED to normal form. ------ 58152/4440639. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 58153/4440666. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 58154/4440774. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(a b))) 3. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 58155/4440819. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 58156/4440855. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(b a))) 3. ==[ beta ]==> ((a b)((a a)(b a))) REDUCED to normal form. ------ 58157/4440873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58158/4440981. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 58159/4441008. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 58160/4441053. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.b))) REDUCED to normal form. ------ 58161/4441080. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 58162/4441143. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58163/4441224. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58164/4441305. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58165/4441359. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 58166/4441395. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 58167/4441485. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) c)) 5. ==[ beta ]==> ((a a)((^y.(a a)) c)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58168/4441656. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 58169/4441737. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 58170/4441764. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58171/4441818. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58172/4441899. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 58173/4441944. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 58174/4441971. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a (a (a a)))((a a) b)) REDUCED to normal form. ------ 58175/4441998. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b) c)) 3. ==[ beta ]==> (((a (a a)) a)((a b) c)) REDUCED to normal form. ------ 58176/4442088. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 58177/4442232. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 58178/4442259. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b) a)(((a a) a) a)) REDUCED to normal form. ------ 58179/4442286. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 58180/4442340. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 58181/4442367. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 58182/4442394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58183/4442439. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 58184/4442466. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 58185/4442484. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 58186/4442511. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 58187/4442538. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 58188/4442592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.b))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.b))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 58189/4442619. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 58190/4442646. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a b)(a a))((a a) a)) REDUCED to normal form. ------ 58191/4442673. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b) b)) 3. ==[ beta ]==> ((a (a a))((a b) b)) REDUCED to normal form. ------ 58192/4442682. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58193/4442709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58194/4442763. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58195/4442844. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 58196/4442853. ------ 1. ==[ start ]==> (((a b) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 58197/4442880. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(a a))) 3. ==[ beta ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 58198/4442907. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 58199/4442934. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 58200/4442988. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 58201/4443015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a) a))) 7. ==[ beta ]==> (((a (^y.y))((a a) a))((a (^y.y))((a a) a))) 8. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 58202/4443042. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(a b))) REDUCED to normal form. ------ 58203/4443060. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 58204/4443132. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.a)) 8. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 58205/4443159. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 58206/4443186. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 58207/4443240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(^y.b))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.b))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.b))) REDUCED to normal form. ------ 58208/4443267. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b) a)) 3. ==[ beta ]==> ((((a a) a) a)((a b) a)) REDUCED to normal form. ------ 58209/4443294. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 58210/4443384. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58211/4443528. ------ 1. ==[ start ]==> (((a b) c)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a b) c)((a (a a)) a)) REDUCED to normal form. ------ 58212/4443555. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 58213/4443582. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 58214/4443600. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 58215/4443627. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 58216/4443681. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 58217/4443762. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58218/4443996. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 58219/4444023. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b) a)((^y.(y y)) c)) 4. ==[ alpha ]==> (((a b) a)((^x.(x x)) c)) 5. ==[ beta ]==> (((a b) a)(c c)) REDUCED to normal form. ------ 58220/4444194. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58221/4444275. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58222/4444338. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(c a)) REDUCED to normal form. ------ 58223/4444383. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 58224/4444446. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 58225/4444464. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.a))) REDUCED to normal form. ------ 58226/4444473. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 58227/4444545. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (b ((^y.(y y))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 58228/4444581. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c c)) 3. ==[ beta ]==> (((a a)(^y.a))(c c)) 4. ==[ alpha ]==> (((a a)(^x.a))(c c)) REDUCED to normal form. ------ 58229/4444653. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 58230/4444671. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a) b)) 3. ==[ beta ]==> (((a a)(b a))(a b)) REDUCED to normal form. ------ 58231/4444752. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 58232/4444779. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) b)) 5. ==[ beta ]==> (((a a) a)((^y.a) b)) 6. ==[ alpha ]==> (((a a) a)((^x.a) b)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 58233/4444860. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 58234/4444887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58235/4444941. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 58236/4444950. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58237/4445031. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.z))) 5. ==[ beta ]==> ((a a)(c (^z.z))) 6. ==[ alpha ]==> ((a a)(c (^x.x))) REDUCED to normal form. ------ 58238/4445112. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58239/4445220. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58240/4445229. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 58241/4445247. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 58242/4445256. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 58243/4445274. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58244/4445328. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.y))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 58245/4445337. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 58246/4449264. ------ 1. ==[ start ]==> ((^a.(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 58247/4450500. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a))) b) 2. ==[ alpha ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 58248/4450524. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58249/4450605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58250/4450617. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 58251/4450914. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58252/4451109. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a b))(((a (a a))(a b))((a (a a))(a b)))) REDUCED to normal form. ------ 58253/4451211. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58254/4451334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58255/4451472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58256/4451760. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a a)((^x.x)(^y.y))) b) 4. ==[ beta ]==> (((a a)(^y.y)) b) 5. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 58257/4451892. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1))))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))(((^z2.z2)(^x3.x3))((^y3.y3)(^z3.z3)))) 5. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))(((^z2.z2)(^x3.x3))((^y3.y3)(^z3.z3)))) 6. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))(((^y2.y2)(^z2.z2))((^x3.x3)(^y3.y3)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))(((^y2.y2)(^z2.z2))((^x3.x3)(^y3.y3)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))(((^x2.x2)(^y2.y2))((^z2.z2)(^x3.x3)))) 9. ==[ beta ]==> (((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))(((^x2.x2)(^y2.y2))((^z2.z2)(^x3.x3)))) 10. ==[ alpha ]==> (((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1))))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 11. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 12. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 13. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 14. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 15. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 16. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 17. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 18. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 19. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 20. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 21. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 22. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 23. ==[ beta ]==> ((^y.y)(^z.z)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58258/4452225. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58259/4452792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 58260/4452966. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 58261/4453182. ------ 1. ==[ start ]==> (((a b) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 58262/4453398. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 58263/4453965. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.b))) REDUCED to normal form. ------ 58264/4454127. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 58265/4454298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1) x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z) z))) 7. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 8. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 9. ==[ beta ]==> (^y.((y y) y)) 10. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 58266/4454430. ------ 1. ==[ start ]==> ((^a.(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)((^y.y)(^z.z)))) 3. ==[ eta ]==> (b ((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 58267/4454433. ------ 1. ==[ start ]==> ((a (b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 58268/4454856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58269/4454979. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58270/4455081. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x (x x)))) REDUCED to normal form. ------ 58271/4455162. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 58272/4455261. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58273/4455576. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 58274/4455585. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 58275/4455603. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58276/4455657. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.a)) 7. ==[ beta ]==> (((a a)(a a))(^y.a)) 8. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 58277/4455666. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 58278/4455696. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 58279/4455705. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (a ((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 58280/4455732. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 58281/4455759. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 58282/4455777. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 58283/4455786. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 58284/4455813. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58285/4455831. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58286/4455894. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 58287/4455921. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 58288/4455975. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58289/4456083. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58290/4456101. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 58291/4456200. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 58292/4456227. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 58293/4456254. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 58294/4456281. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 58295/4456380. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 58296/4456398. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.y))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 58297/4456425. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 58298/4456434. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 58299/4456461. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 58300/4456479. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 58301/4456488. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 58302/4456506. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 58303/4456596. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 58304/4456668. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 58305/4456731. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 58306/4456758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 58307/4456785. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 58308/4456812. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 58309/4456839. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.a))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 58310/4456866. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 58311/4456929. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 58312/4456956. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 58313/4456983. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 58314/4457010. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 58315/4457037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 58316/4457064. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a ((a a) a))(^y.y)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 58317/4457235. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 58318/4457262. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 58319/4457271. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 58320/4457316. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> ((a a)(^y.(^z.z))) 12. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 58321/4457325. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 58322/4457352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58323/4457379. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 58324/4457397. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 58325/4457568. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58326/4457748. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b) c)) 3. ==[ beta ]==> (b ((^z.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 58327/4457775. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a) d)) 3. ==[ beta ]==> ((a b)((^y.a) d)) 4. ==[ alpha ]==> ((a b)((^x.a) d)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 58328/4457892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58329/4457937. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 58330/4457946. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 58331/4457964. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 58332/4458135. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 58333/4458180. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b) b)) 3. ==[ beta ]==> ((^y.(a a))((a b) b)) 4. ==[ alpha ]==> ((^x.(a a))((a b) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58334/4458207. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 58335/4458351. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.(a a))) 4. ==[ alpha ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 58336/4458396. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) b)) 5. ==[ beta ]==> ((a a)((^y.b) b)) 6. ==[ alpha ]==> ((a a)((^x.b) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 58337/4458423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58338/4458540. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.b))) REDUCED to normal form. ------ 58339/4458567. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 58340/4458594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 58341/4458783. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.z))) 3. ==[ beta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 58342/4459017. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58343/4459134. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.b))) REDUCED to normal form. ------ 58344/4459161. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 58345/4459179. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 58346/4459215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58347/4459242. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 58348/4459260. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 58349/4459269. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 58350/4459296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 58351/4459413. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (a (a a)))) 3. ==[ beta ]==> ((a (a b))(c (a (a a)))) REDUCED to normal form. ------ 58352/4459440. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.x))) REDUCED to normal form. ------ 58353/4459467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a) a))) 7. ==[ beta ]==> ((^y.y)(a ((a a) a))) 8. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 58354/4459494. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 58355/4459521. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 58356/4459548. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 58357/4459575. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 58358/4459602. ------ 1. ==[ start ]==> ((a (b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 58359/4459692. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (b (a (^y.a))) 8. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 58360/4459773. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58361/4459836. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 58362/4459908. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58363/4459962. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) c)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 58364/4459971. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.a))) REDUCED to normal form. ------ 58365/4460025. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 58366/4460043. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.y))) 3. ==[ beta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 58367/4460052. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 58368/4460079. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 58369/4460106. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 58370/4460151. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 58371/4460223. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 58372/4460250. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (a (a a)))) REDUCED to normal form. ------ 58373/4460277. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a a))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 58374/4460304. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 58375/4460331. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a) a)) REDUCED to normal form. ------ 58376/4460430. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58377/4460448. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58378/4460529. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) a)) 5. ==[ beta ]==> ((a a)((^z.a) a)) 6. ==[ alpha ]==> ((a a)((^x.a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 58379/4460610. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 58380/4460718. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58381/4460727. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.z))) REDUCED to normal form. ------ 58382/4460745. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 58383/4460754. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 58384/4460772. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58385/4460826. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 58386/4460835. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 58387/4460852. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x b))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58388/4460853. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58389/4465608. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^x1.((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58390/4466007. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a))) c) 2. ==[ alpha ]==> (((a (a a))(^x.(a a))) c) REDUCED to normal form. ------ 58391/4466031. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58392/4466058. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))((^z.z)(a a)))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 11. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 12. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 13. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 14. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 15. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 58393/4466085. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 58394/4466133. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58395/4466142. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 58396/4466166. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(^z1.z1))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58397/4466355. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58398/4466448. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 58399/4466526. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 58400/4466976. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58401/4467789. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 58402/4467921. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58403/4468482. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 58404/4468491. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 58405/4468515. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(^x1.x1))((^z.(a a))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(^z.z))((^x1.(a a))(^y1.y1)))) 5. ==[ beta ]==> (((^y.(a a))(^z.z))((^x1.(a a))(^y1.y1))) 6. ==[ alpha ]==> (((^x.(a a))(^y.y))((^z.(a a))(^x1.x1))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.x1))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58406/4468905. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 58407/4469112. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)((^x.x) a)) a) 4. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 58408/4469190. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.a))((^z.(^x1.x1))(^y1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58409/4469814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 9. ==[ beta ]==> (^y.(^z.a)) 10. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 58410/4469946. ------ 1. ==[ start ]==> ((^a.(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(^z.z)))) 3. ==[ eta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 58411/4470255. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58412/4470597. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 58413/4470705. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 58414/4470783. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^x1.x1)((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 58415/4470786. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 58416/4470876. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.z)) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58417/4471065. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58418/4471101. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 58419/4471173. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(z z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y y))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 58420/4471182. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 58421/4471212. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58422/4471230. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (a ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (a ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 58423/4471239. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 58424/4471266. ------ 1. ==[ start ]==> ((a b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 58425/4471311. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 58426/4471320. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 58427/4471338. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 58428/4471347. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 58429/4471365. ------ 1. ==[ start ]==> (((a a) b)((b a) b)) REDUCED to normal form. ------ 58430/4471509. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 58431/4471536. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58432/4471626. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 58433/4471635. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 58434/4471653. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 58435/4471707. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 58436/4471815. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(a b))) 5. ==[ beta ]==> (((a (a a))(a b))((a (a a))(a b))) REDUCED to normal form. ------ 58437/4471842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 58438/4471896. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b a))) 5. ==[ beta ]==> ((^y.y)((a a)(b a))) 6. ==[ alpha ]==> ((^x.x)((a a)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 58439/4471932. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 58440/4471959. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58441/4471986. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 58442/4472013. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 58443/4472076. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 58444/4472103. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 58445/4472121. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((b b)(a (^y.(a a)))) 6. ==[ alpha ]==> ((b b)(a (^x.(a a)))) REDUCED to normal form. ------ 58446/4472130. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 58447/4472157. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 58448/4472256. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a (a a)) b)((a a) c)) REDUCED to normal form. ------ 58449/4472625. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 58450/4472679. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 58451/4472742. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 58452/4472796. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.a))) REDUCED to normal form. ------ 58453/4472823. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 58454/4472850. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 58455/4472904. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 58456/4472940. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 58457/4472967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 58458/4473021. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 58459/4473048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 58460/4473102. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 58461/4473192. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z)(a a)))) IRREDUCIBLE: cycle. ------ 58462/4473255. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 58463/4473273. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> (b ((a b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 58464/4473282. ------ 1. ==[ start ]==> (((a b) a)((^a.b) c)) 2. ==[ alpha ]==> (((a b) a)((^x.b) c)) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 58465/4473300. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a b)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a b)(((a a) a) a)) REDUCED to normal form. ------ 58466/4473309. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a) d)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 58467/4473327. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 58468/4473381. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 58469/4473471. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 58470/4473507. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 58471/4473561. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 58472/4473588. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 10. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 58473/4473615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a) a))) 7. ==[ beta ]==> (a ((^y.a)((a a) a))) 8. ==[ alpha ]==> (a ((^x.a)((a a) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58474/4473642. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 58475/4473660. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 58476/4473669. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 58477/4473696. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 58478/4473867. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 58479/4473903. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a)) a)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) a)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 58480/4473921. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(a a))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 58481/4473930. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 58482/4473948. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 58483/4473957. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 58484/4474002. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 58485/4474083. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 58486/4474119. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 58487/4474182. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 58488/4474209. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 58489/4474236. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 58490/4474263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 58491/4474290. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a b))) 5. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 58492/4474308. ------ 1. ==[ start ]==> (((^a.b) c)((a b) a)) 2. ==[ alpha ]==> (((^x.b) c)((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 58493/4474317. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 58494/4474371. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 58495/4474542. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 58496/4474551. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 58497/4474623. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 58498/4474650. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 58499/4474686. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 58500/4474740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58501/4474767. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 58502/4474794. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 58503/4474848. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 58504/4474884. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 58505/4474911. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 58506/4474938. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 58507/4474965. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 58508/4475127. ------ 1. ==[ start ]==> ((a (b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 58509/4475361. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a c)) REDUCED to normal form. ------ 58510/4475406. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (a (a a)))) 3. ==[ beta ]==> ((b a)(b (a (a a)))) REDUCED to normal form. ------ 58511/4475433. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58512/4475469. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 58513/4475487. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a (a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 58514/4475496. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 58515/4475577. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 58516/4475604. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58517/4475631. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 58518/4475694. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(b a))(^y.y)) 6. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 58519/4475721. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 58520/4475748. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 58521/4475775. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(y y))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(x x))) REDUCED to normal form. ------ 58522/4475856. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 58523/4475883. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(x x)))) REDUCED to normal form. ------ 58524/4475910. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 58525/4475955. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58526/4475964. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 58527/4476054. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a a)(a ((^z.z) a))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58528/4476135. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 58529/4476243. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58530/4476252. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 58531/4476270. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 58532/4476279. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 58533/4476297. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58534/4476351. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a a))) 7. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 58535/4476360. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 58536/4476386. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.b))) 5. ==[ beta ]==> (^x.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 58537/4476387. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (a ((^y.y)(^z.b))) 4. ==[ alpha ]==> (a ((^x.x)(^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 58538/4480854. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58539/4481568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b)) a) 3. ==[ beta ]==> (((^y.y)(^z.b)) a) 4. ==[ alpha ]==> (((^x.x)(^y.b)) a) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58540/4481574. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58541/4481583. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58542/4481601. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.(a a)))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 58543/4481628. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 58544/4481664. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58545/4481709. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^z.(^x1.x1))) a)(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 58546/4481826. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 58547/4481991. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58548/4482000. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 58549/4482288. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58550/4482393. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58551/4482558. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 58552/4483080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 58553/4483284. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58554/4483827. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58555/4483851. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.(((^z.(a a))(a a))((^z.(a a))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(a a))((^z.(a a))(a a)))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a))(a a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(a a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 58556/4484034. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 58557/4484058. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a)) a)(((^z.z)(a a)) a))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 5. ==[ beta ]==> ((((^y.y)(a a)) a)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) a)) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 58558/4484268. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 58559/4484457. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 58560/4485024. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((a a) a))) REDUCED to normal form. ------ 58561/4485663. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 58562/4485798. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58563/4485915. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 58564/4485933. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58565/4486038. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58566/4486041. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a (a a)))) REDUCED to normal form. ------ 58567/4486140. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.d)) REDUCED to normal form. ------ 58568/4486326. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 58569/4486338. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58570/4486419. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 58571/4486500. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 58572/4486608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58573/4486617. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 58574/4486662. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58575/4486716. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.z))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 58576/4486725. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 58577/4486752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58578/4486764. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 58579/4486773. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 58580/4486791. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 58581/4486800. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58582/4486818. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 58583/4486827. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 58584/4486854. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 58585/4486872. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 58586/4486899. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 58587/4486908. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58588/4486989. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58589/4487016. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 58590/4487097. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 58591/4487124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58592/4487133. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((a a)(^y.y)))) REDUCED to normal form. ------ 58593/4487160. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (b a))) 3. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 58594/4487178. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58595/4487187. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 58596/4487214. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a a))) REDUCED to normal form. ------ 58597/4487241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 58598/4487349. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 58599/4487430. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 58600/4487457. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(b a))) REDUCED to normal form. ------ 58601/4487475. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 58602/4487556. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 58603/4487583. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 58604/4487601. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 58605/4487655. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 58606/4487682. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 58607/4487718. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58608/4487745. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58609/4487853. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.b)(^z.(z z))) 8. ==[ alpha ]==> ((^x.b)(^y.(y y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 58610/4487934. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.b)(^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.b))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 58611/4488087. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 58612/4488231. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(a a)))) 5. ==[ beta ]==> (a (c (^z.(a a)))) 6. ==[ alpha ]==> (a (c (^x.(a a)))) REDUCED to normal form. ------ 58613/4488267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 58614/4488339. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58615/4488474. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 58616/4488492. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 58617/4488546. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 58618/4488573. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a (a a)) a)((a a) b)) REDUCED to normal form. ------ 58619/4488600. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b) c)) 5. ==[ beta ]==> ((a (^y.y))((a b) c)) 6. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 58620/4488663. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 58621/4488744. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) IRREDUCIBLE: cycle. ------ 58622/4488807. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 58623/4488834. ------ 1. ==[ start ]==> (((a b) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 58624/4488861. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 58625/4488915. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 58626/4488942. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 58627/4488969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58628/4488996. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 58629/4489014. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 58630/4489041. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 58631/4489059. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 58632/4489086. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 58633/4489113. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 58634/4489140. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 58635/4489194. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 58636/4489221. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 58637/4489248. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 58638/4489257. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58639/4489284. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58640/4489338. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58641/4489419. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58642/4489428. ------ 1. ==[ start ]==> (((a b) b)(b (a b))) REDUCED to normal form. ------ 58643/4489455. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 58644/4489482. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(a a))) REDUCED to normal form. ------ 58645/4489509. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 58646/4489563. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 58647/4489590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 13. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 14. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 15. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 16. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 58648/4489617. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 58649/4489635. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 58650/4489644. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 58651/4489707. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 58652/4489734. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.a)) REDUCED to normal form. ------ 58653/4489761. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 58654/4489788. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58655/4489842. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.b))) REDUCED to normal form. ------ 58656/4489869. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 58657/4489896. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 58658/4489959. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 58659/4490103. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b) c)(a (^y.y))) 6. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 58660/4490130. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 58661/4490157. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a (a a)))) REDUCED to normal form. ------ 58662/4490202. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 58663/4490211. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 58664/4490337. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58665/4490436. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 58666/4490598. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 58667/4490769. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 58668/4490850. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58669/4490958. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 58670/4490985. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58671/4491021. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 58672/4491048. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 58673/4491102. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 58674/4491120. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 58675/4491228. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 58676/4491246. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a)) a)) REDUCED to normal form. ------ 58677/4491273. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 58678/4491354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(y y)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 58679/4491381. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 58680/4491408. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 58681/4491462. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 58682/4491507. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58683/4491516. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 58684/4491525. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58685/4491606. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 58686/4491687. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (b (a (^x1.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 58687/4491795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58688/4491804. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a (^z.z)))) REDUCED to normal form. ------ 58689/4491822. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 58690/4491831. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 58691/4491849. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 58692/4491903. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 58693/4491912. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 58694/4491939. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a a)) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58695/4497129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b)) b) 3. ==[ beta ]==> (((^y.y)(^z.b)) b) 4. ==[ alpha ]==> (((^x.x)(^y.b)) b) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58696/4497153. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58697/4497273. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 58698/4497570. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 58699/4497738. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((a a) a))((((^y.y)(^z.z))((a a) a))(((^y.y)(^z.z))((a a) a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((((^z.z)(^x1.x1))((a a) a))(((^y1.y1)(^z1.z1))((a a) a)))) 5. ==[ beta ]==> (((^y.y)((a a) a))((((^z.z)(^x1.x1))((a a) a))(((^y1.y1)(^z1.z1))((a a) a)))) 6. ==[ alpha ]==> (((^x.x)((a a) a))((((^y.y)(^z.z))((a a) a))(((^x1.x1)(^y1.y1))((a a) a)))) 7. ==[ beta ]==> (((a a) a)((((^y.y)(^z.z))((a a) a))(((^x1.x1)(^y1.y1))((a a) a)))) 8. ==[ alpha ]==> (((a a) a)((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a)))) 9. ==[ beta ]==> (((a a) a)(((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a)))) 10. ==[ alpha ]==> (((a a) a)(((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a)))) 11. ==[ beta ]==> (((a a) a)(((a a) a)(((^y.y)(^z.z))((a a) a)))) 12. ==[ alpha ]==> (((a a) a)(((a a) a)(((^x.x)(^y.y))((a a) a)))) 13. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)((a a) a)))) 14. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)((a a) a)))) 15. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 58700/4497867. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 58701/4497963. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58702/4498416. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 58703/4498521. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((((a a) a)(a (a a)))(((a a) a)(a (a a))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 58704/4498854. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58705/4499406. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58706/4499421. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(^x1.x1))(((^z.z)(a a))(^x1.x1)))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 5. ==[ beta ]==> (^x.(((a a)(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 6. ==[ alpha ]==> (^x.(((a a)(^y.y))(((^z.z)(a a))(^x1.x1)))) 7. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 58707/4499838. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 58708/4500054. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 58709/4500243. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(a b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a y))) 3. ==[ eta ]==> (((^x.b) c) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58710/4500621. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 58711/4500783. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 58712/4500954. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((x x) x))) REDUCED to normal form. ------ 58713/4501059. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(a (a a)))) 3. ==[ eta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 58714/4501233. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58715/4501512. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58716/4501608. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58717/4501737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y (y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 58718/4501896. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b c)) 3. ==[ beta ]==> ((b c)(^y.(^z.z))) 4. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 58719/4501989. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.z)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58720/4502070. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 58721/4502187. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58722/4502232. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58723/4502295. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 58724/4502322. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58725/4502352. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 58726/4502361. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58727/4502379. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 58728/4502388. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 58729/4502415. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 58730/4502442. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58731/4502469. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 58732/4502487. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58733/4502496. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 58734/4502514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 58735/4502577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 58736/4502631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58737/4502712. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 58738/4502766. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58739/4502784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58740/4502856. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 58741/4502883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 58742/4502910. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 58743/4502937. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 58744/4503009. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 58745/4503063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 58746/4503081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 58747/4503135. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 58748/4503144. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 58749/4503162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 58750/4503252. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(a b))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a b))) 5. ==[ beta ]==> ((b b)((a b)(a b))) REDUCED to normal form. ------ 58751/4503297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58752/4503378. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 58753/4503387. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 58754/4503414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 58755/4503441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 58756/4503495. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 58757/4503522. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 58758/4503549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 58759/4503585. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 58760/4503612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (b a))) REDUCED to normal form. ------ 58761/4503639. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 58762/4503666. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 58763/4503693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 58764/4503720. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 58765/4503846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 58766/4503891. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 58767/4503918. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 58768/4503927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 58769/4503954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 58770/4503972. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 58771/4503981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 58772/4504008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58773/4504035. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 58774/4504053. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 58775/4504224. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58776/4504404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (b ((^z.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 58777/4504431. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b) c)) 3. ==[ beta ]==> ((a b)((^y.b) c)) 4. ==[ alpha ]==> ((a b)((^x.b) c)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 58778/4504548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.b))) 5. ==[ beta ]==> ((^y.a)(c (^z.b))) 6. ==[ alpha ]==> ((^x.a)(c (^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 58779/4504575. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 58780/4504602. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58781/4504620. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 58782/4504791. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58783/4504836. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58784/4504863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 58785/4505007. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 58786/4505034. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 58787/4505052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) a)) 5. ==[ beta ]==> ((a a)((^y.(a a)) a)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58788/4505079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58789/4505196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 58790/4505223. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 58791/4505250. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 58792/4505439. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(a b))) 3. ==[ beta ]==> (b ((^y.y)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 58793/4505673. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 58794/4505790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.a))) REDUCED to normal form. ------ 58795/4505817. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 58796/4505835. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 58797/4505871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58798/4505898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 58799/4505916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 58800/4505925. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 58801/4505952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 58802/4505979. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 58803/4506123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 58804/4506150. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 58805/4506177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a b) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 58806/4506204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 58807/4506231. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 58808/4506258. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 58809/4506348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 58810/4506429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 58811/4506492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 58812/4506618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) b)) 5. ==[ beta ]==> (((a b)(a b))(b b)) REDUCED to normal form. ------ 58813/4506681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 58814/4506708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58815/4506735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 58816/4506762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 58817/4506807. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 58818/4506906. ------ 1. ==[ start ]==> (((a (a a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(b ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))(b a)) REDUCED to normal form. ------ 58819/4506933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 58820/4506960. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 58821/4506987. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 58822/4507014. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 58823/4507086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58824/4507095. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b c)) REDUCED to normal form. ------ 58825/4507104. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58826/4507185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a) c)) 5. ==[ beta ]==> ((a a)((a a) c)) REDUCED to normal form. ------ 58827/4507266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (b ((^x1.x1) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 58828/4507374. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58829/4507383. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 58830/4507401. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 58831/4507410. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 58832/4507428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58833/4507482. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a) a)) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 58834/4507491. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 58835/4507518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.z))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58836/4507674. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^z.(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 58837/4510023. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(a a)))(^z.((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a))))) 5. ==[ beta ]==> ((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 58838/4512717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b)) c) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b)) c) 3. ==[ beta ]==> (((^y.y)(^z.b)) c) 4. ==[ alpha ]==> (((^x.x)(^y.b)) c) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58839/4512768. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58840/4512795. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 58841/4512876. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^z.z)(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 58842/4512879. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 58843/4513065. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.b))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58844/4513185. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 58845/4513236. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 58846/4513686. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58847/4514526. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 58848/4514631. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(y y))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 58849/4514994. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 58850/4515225. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1)(a a)))((^z.z)((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58851/4515228. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 58852/4515453. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 58853/4515840. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 58854/4515849. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a y))) 3. ==[ eta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 58855/4516551. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 58856/4516656. ------ 1. ==[ start ]==> ((^a.(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.(y y)))) 3. ==[ eta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 58857/4517100. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 58858/4517226. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (a a)))) REDUCED to normal form. ------ 58859/4517334. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 58860/4517442. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 58861/4517493. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a (^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58862/4517667. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 58863/4517802. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 58864/4517829. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 58865/4517883. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.b)) 7. ==[ beta ]==> (((a a)(a a))(^y.b)) 8. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 58866/4517892. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 58867/4517919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.a)) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58868/4517967. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (a ((^y.y)(^z.b))) 6. ==[ alpha ]==> (a ((^x.x)(^y.b))) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 58869/4517976. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 58870/4517994. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 58871/4518003. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 58872/4518057. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 58873/4518075. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 58874/4518084. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 58875/4518102. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 58876/4518129. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a) b)) REDUCED to normal form. ------ 58877/4518219. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 58878/4518273. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 58879/4518363. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (b a))) 3. ==[ beta ]==> (((^y.y) a)(b (b a))) 4. ==[ alpha ]==> (((^x.x) a)(b (b a))) 5. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 58880/4518390. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 58881/4518399. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 58882/4518444. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 58883/4518552. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((a a) a))(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a))) 7. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a))) 8. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a))) 9. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 10. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 11. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 12. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 13. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 58884/4518579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 58885/4518633. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 58886/4518660. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(b a))) 3. ==[ beta ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 58887/4518696. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.z))) REDUCED to normal form. ------ 58888/4518723. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58889/4518750. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 58890/4518786. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 58891/4518840. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 58892/4518858. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.b))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.b))) REDUCED to normal form. ------ 58893/4518867. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(a b))) REDUCED to normal form. ------ 58894/4518894. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 58895/4518993. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 58896/4519362. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58897/4519416. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(a b))) 5. ==[ beta ]==> (a (((^z.z) a)(a b))) 6. ==[ alpha ]==> (a (((^x.x) a)(a b))) 7. ==[ beta ]==> (a (a (a b))) REDUCED to normal form. ------ 58898/4519533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58899/4519560. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 58900/4519587. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 58901/4519614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58902/4519677. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 58903/4519704. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 58904/4519731. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 58905/4519785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 58906/4519812. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 58907/4519839. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 58908/4519992. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 58909/4520010. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 58910/4520019. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(a a)) b)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 58911/4520037. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 58912/4520046. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 58913/4520064. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 58914/4520118. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 58915/4520199. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 58916/4520244. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 58917/4520271. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 58918/4520325. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 58919/4520352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(y y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(^z.z)))) 9. ==[ beta ]==> (a (((^y.y)(^z.z))((^y.y)(^z.z)))) 10. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 13. ==[ beta ]==> (a ((^y.y)(^z.z))) 14. ==[ alpha ]==> (a ((^x.x)(^y.y))) 15. ==[ beta ]==> (a (^y.y)) 16. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 58920/4520379. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 58921/4520397. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 58922/4520406. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 58923/4520433. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 58924/4520604. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 58925/4520658. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 58926/4520667. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 58927/4520685. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 58928/4520694. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 58929/4520739. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 13. ==[ beta ]==> ((^y.y)((^z.z) a)) 14. ==[ alpha ]==> ((^x.x)((^y.y) a)) 15. ==[ beta ]==> ((^y.y) a) 16. ==[ alpha ]==> ((^x.x) a) 17. ==[ beta ]==> a REDUCED to normal form. ------ 58930/4520820. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 58931/4520892. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 58932/4520919. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 58933/4520946. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 58934/4520973. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 58935/4521000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 58936/4521027. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 58937/4521045. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 58938/4521054. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a b)) REDUCED to normal form. ------ 58939/4521081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 58940/4521279. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 58941/4521288. ------ 1. ==[ start ]==> (((a b) c)((^c.a) b)) 2. ==[ alpha ]==> (((a b) c)((^x.a) b)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 58942/4521315. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 58943/4521360. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 58944/4521387. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 58945/4521477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58946/4521504. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 58947/4521531. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 58948/4521558. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 58949/4521648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 58950/4521675. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (a b))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 58951/4521702. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 58952/4521729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58953/4521864. ------ 1. ==[ start ]==> ((a (b a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(c (^x.(x x)))) REDUCED to normal form. ------ 58954/4522098. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a)) b)) REDUCED to normal form. ------ 58955/4522143. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((^y.y) a))) 3. ==[ beta ]==> ((b a)(c ((^y.y) a))) 4. ==[ alpha ]==> ((b a)(c ((^x.x) a))) 5. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 58956/4522170. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 58957/4522206. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 58958/4522224. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(a a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 58959/4522233. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))(b b)) REDUCED to normal form. ------ 58960/4522305. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 58961/4522341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 58962/4522368. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 58963/4522431. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 58964/4522458. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 58965/4522485. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 58966/4522512. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 58967/4522539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 58968/4522593. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.(^y.y)))) REDUCED to normal form. ------ 58969/4522620. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.a))) 5. ==[ beta ]==> (((a a) a)(b (^y.a))) 6. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 58970/4522647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 58971/4522692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58972/4522701. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 58973/4522710. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58974/4522791. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (a (^z.z)))) 5. ==[ beta ]==> ((a a)(b (a (^z.z)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 58975/4522872. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 58976/4522980. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58977/4522989. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a) b)) REDUCED to normal form. ------ 58978/4523007. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 58979/4523016. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 58980/4523034. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 58981/4523088. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a b)) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 58982/4523097. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 58983/4523124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) a)) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 58984/4525431. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 58985/4528392. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 7. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 58986/4528419. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 58987/4528455. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58988/4528500. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^z.(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 58989/4528512. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58990/4528617. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 58991/4528809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58992/4528818. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 58993/4529106. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 58994/4529184. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 58995/4529310. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 58996/4530075. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 58997/4530411. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 58998/4530627. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 58999/4530642. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 59000/4530645. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59001/4530849. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.(a a)))((a a)(^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.(a a)))((a a)(^z.(a a))))) 5. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 59002/4530861. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59003/4531077. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 59004/4531086. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 59005/4531473. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 59006/4531524. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((((a a) a) b)(((a a) a) b))(^y.y)) 4. ==[ alpha ]==> (((((a a) a) b)(((a a) a) b))(^x.x)) REDUCED to normal form. ------ 59007/4531842. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 59008/4531860. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 59009/4532625. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 59010/4532733. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 59011/4532829. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59012/4532850. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 59013/4533117. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 59014/4533426. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 59015/4533435. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 59016/4533507. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a a))) 7. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 59017/4533516. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 59018/4533543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z z))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59019/4533609. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 59020/4533618. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59021/4533636. ------ 1. ==[ start ]==> ((a b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 59022/4533645. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 59023/4533672. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 59024/4533717. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 59025/4533726. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59026/4533753. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59027/4533834. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 59028/4533915. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 59029/4533942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59030/4534005. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (b a))) REDUCED to normal form. ------ 59031/4534023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59032/4534032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 59033/4534059. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 59034/4534167. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 59035/4534248. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 59036/4534275. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 59037/4534302. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 59038/4534320. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59039/4534401. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 59040/4534419. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 59041/4534446. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 59042/4534500. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 59043/4534527. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 59044/4534536. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59045/4534563. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59046/4534671. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59047/4534698. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59048/4534752. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 59049/4534932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) c)) 5. ==[ beta ]==> ((a a)((^y.(a a)) c)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59050/4535085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 59051/4535112. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 59052/4535211. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.b)((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59053/4535292. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 59054/4535310. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 59055/4535337. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 59056/4535391. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 59057/4535418. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 59058/4535445. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b) c)) REDUCED to normal form. ------ 59059/4535481. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 59060/4535562. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.b))) IRREDUCIBLE: cycle. ------ 59061/4535625. ------ 1. ==[ start ]==> ((((a a) a) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 59062/4535652. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 59063/4535679. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(a (^y.y)))) REDUCED to normal form. ------ 59064/4535733. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 59065/4535760. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 59066/4535787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59067/4535814. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 59068/4535832. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 59069/4535841. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 59070/4535859. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 59071/4535877. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 59072/4535904. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 59073/4535931. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 59074/4535958. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(y y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 59075/4535985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 59076/4536039. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 59077/4536066. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 59078/4536075. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59079/4536102. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59080/4536156. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 59081/4536237. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59082/4536246. ------ 1. ==[ start ]==> (((a b) b)(c ((a a) a))) REDUCED to normal form. ------ 59083/4536273. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (a b))) 3. ==[ beta ]==> (((a a) a)(b (a b))) REDUCED to normal form. ------ 59084/4536291. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 59085/4536300. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 59086/4536327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(a a))) REDUCED to normal form. ------ 59087/4536381. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 59088/4536408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 59089/4536435. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 59090/4536453. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 59091/4536462. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 59092/4536489. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 59093/4536525. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 59094/4536552. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 59095/4536579. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a ((a a) a))(^y.a)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.a)) REDUCED to normal form. ------ 59096/4536606. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 59097/4536633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 59098/4536687. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 59099/4536714. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b) a)) 3. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 59100/4536741. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 59101/4536777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59102/4536921. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(a a))) REDUCED to normal form. ------ 59103/4536948. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) b)(a (^y.y))) 8. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 59104/4536975. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a)) a)) REDUCED to normal form. ------ 59105/4537029. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 59106/4537056. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 59107/4537074. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 59108/4537155. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59109/4537254. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 59110/4537281. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) b)) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) b)) 7. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 59111/4537308. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a)) c)) 3. ==[ beta ]==> ((a (a b))((a (a a)) c)) REDUCED to normal form. ------ 59112/4537416. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a) a)) 3. ==[ beta ]==> (((a b) a)((^y.a) a)) 4. ==[ alpha ]==> (((a b) a)((^x.a) a)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 59113/4537443. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 59114/4537587. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59115/4537668. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59116/4537776. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 59117/4537803. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59118/4537839. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 59119/4537866. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 59120/4537920. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 59121/4537938. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 59122/4537947. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 59123/4538046. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 59124/4538064. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 59125/4538091. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 59126/4538118. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (a a))(((^y.y) a) b)) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a) b)) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 59127/4538145. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x)) c)) REDUCED to normal form. ------ 59128/4538199. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 59129/4538226. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 59130/4538334. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 59131/4538343. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59132/4538424. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 59133/4538505. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 59134/4538613. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59135/4538622. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (a a))) REDUCED to normal form. ------ 59136/4538640. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 59137/4538649. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 59138/4538667. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59139/4538721. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 59140/4538730. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a b)) REDUCED to normal form. ------ 59141/4538757. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (a a))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59142/4544172. ------ 1. ==[ start ]==> (((a a) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 59143/4544469. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 59144/4544610. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((^y.y)(^z.z)))((((a a) a)((^y.y)(^z.z)))(((a a) a)((^y.y)(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((((a a) a)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> ((((a a) a)(^y.y))((((a a) a)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((((a a) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((((a a) a)(^z.z))(((a a) a)((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1))))) 9. ==[ beta ]==> ((((a a) a)(^x.x))((((a a) a)(^y.y))(((a a) a)(^x1.x1)))) 10. ==[ alpha ]==> ((((a a) a)(^x.x))((((a a) a)(^y.y))(((a a) a)(^z.z)))) REDUCED to normal form. ------ 59145/4544766. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 59146/4544835. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59147/4545315. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y) a)) b) 4. ==[ beta ]==> ((a ((^y.y) a)) b) 5. ==[ alpha ]==> ((a ((^x.x) a)) b) 6. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59148/4545393. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a b)((^y.y) a))((a b)((^y.y) a)))((a b)((^y.y) a))) 4. ==[ alpha ]==> ((((a b)((^x.x) a))((a b)((^y.y) a)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((((a b) a)((a b)((^y.y) a)))((a b)((^z.z) a))) 6. ==[ alpha ]==> ((((a b) a)((a b)((^x.x) a)))((a b)((^y.y) a))) 7. ==[ beta ]==> ((((a b) a)((a b) a))((a b)((^y.y) a))) 8. ==[ alpha ]==> ((((a b) a)((a b) a))((a b)((^x.x) a))) 9. ==[ beta ]==> ((((a b) a)((a b) a))((a b) a)) REDUCED to normal form. ------ 59149/4545726. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59150/4546062. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59151/4546512. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59152/4546737. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 59153/4547853. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((y y) y))) 3. ==[ beta ]==> (((a b) a)(^y.((y y) y))) 4. ==[ alpha ]==> (((a b) a)(^x.((x x) x))) REDUCED to normal form. ------ 59154/4547931. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((^z.z) a))) 3. ==[ eta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59155/4548276. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59156/4548411. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59157/4548480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59158/4548636. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 59159/4549086. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 59160/4549167. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 59161/4549194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59162/4549278. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59163/4549287. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 59164/4549305. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 59165/4549314. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 59166/4549341. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59167/4549368. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59168/4549386. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59169/4549395. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 59170/4549413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 59171/4549422. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 59172/4549440. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a) b)) 3. ==[ beta ]==> ((a (^y.y))((b a) b)) 4. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 59173/4549530. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59174/4549611. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 59175/4549638. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 59176/4549692. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 59177/4549755. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 59178/4549782. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 59179/4549809. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a b)(a (a a)))) REDUCED to normal form. ------ 59180/4549836. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 59181/4549989. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 59182/4550034. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 59183/4550061. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 59184/4550151. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 59185/4550196. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59186/4550277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) a)) 5. ==[ beta ]==> ((^y.y)((b a) a)) 6. ==[ alpha ]==> ((^x.x)((b a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 59187/4550340. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 59188/4550367. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 59189/4550394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 59190/4550421. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59191/4550448. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((^y.(y y))(^z.b)) 8. ==[ alpha ]==> ((^x.(x x))(^y.b)) 9. ==[ beta ]==> ((^y.b)(^y.b)) 10. ==[ alpha ]==> ((^x.b)(^y.b)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 59192/4550511. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 59193/4550538. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (b a))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 59194/4550565. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 59195/4550592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 59196/4550619. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)((^x.x) a))) 3. ==[ beta ]==> ((a ((a a) a))((a b) a)) REDUCED to normal form. ------ 59197/4550745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(a a)))) 5. ==[ beta ]==> (b (c (^y.(a a)))) 6. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 59198/4550772. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 59199/4550817. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 59200/4550826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 59201/4550853. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 59202/4550871. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.a))) 7. ==[ beta ]==> ((a a)((a b)(^y.a))) 8. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 59203/4550880. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 59204/4550934. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 59205/4550952. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 59206/4551123. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 59207/4551285. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 59208/4551303. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59209/4551330. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) b)) 3. ==[ beta ]==> ((a b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 59210/4551357. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59211/4551501. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 59212/4551690. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59213/4551735. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59214/4551762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 59215/4551816. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a) c)) 5. ==[ beta ]==> ((^y.y)(((a a) a) c)) 6. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 7. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 59216/4551906. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 59217/4551933. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 59218/4551960. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 59219/4551978. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59220/4552122. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 59221/4552149. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 59222/4552338. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59223/4552437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 59224/4552572. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 59225/4552689. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 59226/4552716. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.a))) REDUCED to normal form. ------ 59227/4552770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59228/4552797. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 59229/4552815. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 59230/4552824. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 59231/4552851. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 59232/4552878. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 59233/4553049. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 59234/4553076. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a ((a a) a))) 3. ==[ beta ]==> (((a b) a)(a ((a a) a))) REDUCED to normal form. ------ 59235/4553103. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 59236/4553130. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 59237/4553157. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(a ((^y.y) a))) 4. ==[ alpha ]==> ((a (b a))(a ((^x.x) a))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 59238/4553247. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59239/4553328. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 59240/4553391. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 59241/4553436. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a) c)) 3. ==[ beta ]==> ((b a)(((^y.y) a) c)) 4. ==[ alpha ]==> ((b a)(((^x.x) a) c)) 5. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 59242/4553499. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 59243/4553517. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 59244/4553580. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 59245/4553607. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 59246/4553634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 59247/4553661. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 59248/4553706. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 59249/4553805. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (a (^x.x)))) REDUCED to normal form. ------ 59250/4553832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 59251/4553859. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 59252/4553886. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (a a))) REDUCED to normal form. ------ 59253/4553913. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 59254/4553940. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 59255/4553985. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59256/4554003. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59257/4554084. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z)) b)) 5. ==[ beta ]==> ((a a)((a (^z.z)) b)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 59258/4554165. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59259/4554273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59260/4554282. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 59261/4554300. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 59262/4554309. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 59263/4554327. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59264/4554381. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 59265/4554390. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 59266/4554417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59267/4554461. ------ 1. ==[ start ]==> (^a.((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 59268/4554462. ------ 1. ==[ start ]==> (a ((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 59269/4556742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1)(a a)))(^z.((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 59270/4559688. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59271/4559694. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 59272/4559748. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 59273/4559829. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59274/4559850. ------ 1. ==[ start ]==> (((a a) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 59275/4560189. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59276/4560639. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59277/4561506. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 59278/4561584. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^z.a)) b) 4. ==[ alpha ]==> (((^x.b)(^y.a)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 59279/4561758. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 59280/4561971. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(((a a)((^z.z)(a a)))((a a)((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 5. ==[ beta ]==> (^x.(((a a)(a a))((a a)((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.(((a a)(a a))((a a)((^y.y)(a a))))) 7. ==[ beta ]==> (^x.(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 59281/4561974. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 59282/4561992. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59283/4562178. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 5. ==[ beta ]==> (((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b))) 6. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 9. ==[ beta ]==> ((^y.(^z.z))(a b)) 10. ==[ alpha ]==> ((^x.(^y.y))(a b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59284/4562433. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 59285/4562640. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 59286/4562829. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a a)) a) 4. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 59287/4562853. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((^z.b)(^x1.x1))((^z.b)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(^y.y))((^z.b)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((b ((^z.b)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((b ((^x.b)(^y.y)))(^z.z)) 7. ==[ beta ]==> ((b b)(^z.z)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 59288/4563027. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 59289/4563369. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 59290/4563531. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 59291/4563972. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 59292/4564206. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 59293/4564314. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 59294/4564446. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> (((^x1.a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 59295/4564782. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 59296/4564845. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 59297/4564872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.a)) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59298/4564917. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59299/4564929. ------ 1. ==[ start ]==> ((a a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59300/4564974. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 59301/4564983. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 59302/4565001. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 59303/4565028. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 59304/4565037. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 59305/4565064. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 59306/4565082. ------ 1. ==[ start ]==> (((a a) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 59307/4565109. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 59308/4565136. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 59309/4565199. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 59310/4565226. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 59311/4565370. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 59312/4565406. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 59313/4565424. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 59314/4565532. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((^y.y)(^z.z)))(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 10. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 59315/4565559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 59316/4565613. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 59317/4565640. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 59318/4565667. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 59319/4565703. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 59320/4565730. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 59321/4565766. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 59322/4565793. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 59323/4565838. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b b)(^y.a)) 8. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 59324/4565847. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 59325/4565874. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 59326/4565973. ------ 1. ==[ start ]==> (((a (a a)) b)((b a) a)) REDUCED to normal form. ------ 59327/4566000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (a (((a a)(^y.y)) b)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) b)) REDUCED to normal form. ------ 59328/4566027. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 59329/4566171. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 59330/4566342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 59331/4566396. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))((a a) a))) 5. ==[ beta ]==> (a ((a (a a))((a a) a))) REDUCED to normal form. ------ 59332/4566477. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 59333/4566513. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 59334/4566540. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 59335/4566567. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 59336/4566594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59337/4566621. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 59338/4566657. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 59339/4566684. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 59340/4566711. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 59341/4566738. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 59342/4566792. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 59343/4566810. ------ 1. ==[ start ]==> (((^a.b) a)((a b) c)) 2. ==[ alpha ]==> (((^x.b) a)((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 59344/4566819. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 59345/4566990. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (b (a ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 59346/4566999. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 59347/4567017. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 59348/4567026. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 59349/4567044. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 59350/4567080. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) d)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) d)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 59351/4567098. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 59352/4567179. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(a b))) 3. ==[ beta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 59353/4567206. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 59354/4567224. ------ 1. ==[ start ]==> (((a a)(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 59355/4567251. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 59356/4567278. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 59357/4567332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 59358/4567359. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 59359/4567377. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 59360/4567386. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 59361/4567413. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 59362/4567638. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a b))) 3. ==[ beta ]==> (((^y.y)(a a))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (a b))) 5. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 59363/4567665. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 59364/4567674. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 59365/4567719. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (^z.z)))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 11. ==[ beta ]==> (((a a) a)(a (^y.y))) 12. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 59366/4567728. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 59367/4567800. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 59368/4567872. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 59369/4567899. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 59370/4567953. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 59371/4567980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (a a)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 59372/4568007. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 59373/4568025. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 59374/4568034. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 59375/4568061. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 59376/4568088. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 59377/4568259. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 59378/4568268. ------ 1. ==[ start ]==> (((a b) c)((^a.b) a)) 2. ==[ alpha ]==> (((a b) c)((^x.b) a)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 59379/4568295. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a) b)) 3. ==[ beta ]==> (((a a) b)((^y.a) b)) 4. ==[ alpha ]==> (((a a) b)((^x.a) b)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 59380/4568322. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 59381/4568340. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 59382/4568367. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 59383/4568421. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 59384/4568457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59385/4568484. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 59386/4568511. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 59387/4568538. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 59388/4568565. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 59389/4568601. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 59390/4568655. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 59391/4568682. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 59392/4568709. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 9. ==[ beta ]==> ((^y.a)(^z.(z z))) 10. ==[ alpha ]==> ((^x.a)(^y.(y y))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 59393/4568736. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 59394/4568763. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) a)(^y.a)) 6. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 59395/4569015. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 59396/4569078. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 59397/4569204. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 59398/4569213. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 59399/4569267. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 59400/4569285. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 59401/4569348. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 59402/4569411. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 59403/4569438. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 59404/4569465. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 59405/4569492. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 59406/4569519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 59407/4569546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 59408/4569627. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 59409/4569672. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59410/4569681. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 59411/4569771. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (a a))) 5. ==[ beta ]==> ((a a)(c (a a))) REDUCED to normal form. ------ 59412/4569852. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 59413/4569969. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z)) a)) REDUCED to normal form. ------ 59414/4569987. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 59415/4569996. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 59416/4570014. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 59417/4570068. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b a)) 7. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 59418/4570077. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 59419/4570104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a) a)) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59420/4570149. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59421/4570157. ------ 1. ==[ start ]==> (^a.((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((x b)(^y.(^z.z)))) REDUCED to normal form. ------ 59422/4570158. ------ 1. ==[ start ]==> (a ((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 59423/4575384. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 59424/4575393. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a))) a) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 59425/4575399. ------ 1. ==[ start ]==> ((^a.a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 59426/4575408. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59427/4575453. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 59428/4575489. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59429/4575573. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 59430/4575651. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59431/4575879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 59432/4576149. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(b a))) REDUCED to normal form. ------ 59433/4576218. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59434/4576344. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59435/4576437. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 a))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 a))) 6. ==[ alpha ]==> ((^x.x)(^y.(y a))) 7. ==[ beta ]==> (^y.(y a)) 8. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 59436/4576776. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a)) c)) 3. ==[ beta ]==> ((((^y.(a a)) c)((^y.(a a)) c))((^y.(a a)) c)) 4. ==[ alpha ]==> ((((^x.(a a)) c)((^y.(a a)) c))((^z.(a a)) c)) 5. ==[ beta ]==> (((a a)((^y.(a a)) c))((^z.(a a)) c)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) c))((^y.(a a)) c)) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a)) c)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 59437/4577109. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59438/4577289. ------ 1. ==[ start ]==> ((^a.(a b))((a b) c)) 2. ==[ alpha ]==> ((^x.(x b))((a b) c)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 59439/4577463. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59440/4577472. ------ 1. ==[ start ]==> (((a b) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 59441/4577676. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.((b (^z.(a a)))(b (^z.(a a))))) 4. ==[ alpha ]==> (^x.((b (^y.(a a)))(b (^z.(a a))))) REDUCED to normal form. ------ 59442/4577883. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.b))((a (^z.z))(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.b))((a (^x1.x1))(^y1.b)))) 5. ==[ beta ]==> (((a (^y.y))(^z.b))((a (^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 59443/4577922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 59444/4578138. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 59445/4578147. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.(z z))) REDUCED to normal form. ------ 59446/4578558. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b) a)) 3. ==[ beta ]==> ((((a b) a)((a b) a))(^y.y)) 4. ==[ alpha ]==> ((((a b) a)((a b) a))(^x.x)) REDUCED to normal form. ------ 59447/4578732. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 59448/4578741. ------ 1. ==[ start ]==> (((a b) c)(^a.(a b))) 2. ==[ alpha ]==> (((a b) c)(^x.(x b))) REDUCED to normal form. ------ 59449/4579314. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y)) c)) 3. ==[ eta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 59450/4579407. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> (b (^z.(^x1.z))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 59451/4579677. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59452/4579686. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 59453/4579794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 59454/4579863. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59455/4580151. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 59456/4580433. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59457/4580487. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59458/4580541. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59459/4580577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.b)) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59460/4580622. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59461/4580631. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59462/4580643. ------ 1. ==[ start ]==> ((a a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 59463/4580652. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 59464/4580697. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 59465/4580706. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 59466/4580733. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 59467/4580787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59468/4580814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 59469/4580841. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 59470/4580895. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 59471/4580976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 59472/4581003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59473/4581057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59474/4581066. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 59475/4581093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (b a))) REDUCED to normal form. ------ 59476/4581120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 59477/4581228. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(a (a a)))) 3. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 59478/4581309. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(a b))) 3. ==[ beta ]==> ((a b)((a (a a))(a b))) REDUCED to normal form. ------ 59479/4581336. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a (a a))) REDUCED to normal form. ------ 59480/4581363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 59481/4581390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(b a))) REDUCED to normal form. ------ 59482/4581462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59483/4581480. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 59484/4581507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(y y)))) REDUCED to normal form. ------ 59485/4581534. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 59486/4581588. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 59487/4581597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59488/4581624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59489/4581678. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59490/4581759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59491/4582020. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) c)) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 59492/4582146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a b))) 5. ==[ beta ]==> (b (((^y.y) a)(a b))) 6. ==[ alpha ]==> (b (((^x.x) a)(a b))) 7. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 59493/4582173. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 59494/4582191. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 59495/4582272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59496/4582353. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 59497/4582398. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 59498/4582425. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 59499/4582479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 59500/4582506. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((a a) b)) REDUCED to normal form. ------ 59501/4582533. ------ 1. ==[ start ]==> ((a (a b))((a b) c)) REDUCED to normal form. ------ 59502/4582542. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 59503/4582686. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(b (a a))) REDUCED to normal form. ------ 59504/4582704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59505/4582713. ------ 1. ==[ start ]==> (((a b) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 59506/4582740. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 59507/4582794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 59508/4582821. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 59509/4582848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59510/4582875. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 59511/4582893. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 59512/4582902. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 59513/4582920. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 59514/4582965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 59515/4582992. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 59516/4583019. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 59517/4583046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 10. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 11. ==[ beta ]==> (a (^y.(y y))) 12. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 59518/4583073. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 59519/4583100. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.a))) REDUCED to normal form. ------ 59520/4583127. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 59521/4583136. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59522/4583163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59523/4583217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 59524/4583298. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59525/4583352. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 59526/4583361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (a b))) REDUCED to normal form. ------ 59527/4583379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 59528/4583388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 59529/4583442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 59530/4583469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 9. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 10. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 11. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 12. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a))) 13. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1) a))) 14. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z) a))) 15. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 16. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 17. ==[ beta ]==> (a ((^y.y) a)) 18. ==[ alpha ]==> (a ((^x.x) a)) 19. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59531/4583496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 59532/4583523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 59533/4583550. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 59534/4583613. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.y))) REDUCED to normal form. ------ 59535/4583640. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 59536/4583667. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 59537/4583694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 59538/4583721. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 59539/4583748. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 59540/4583775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 59541/4583802. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 59542/4583838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59543/4583973. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 59544/4583982. ------ 1. ==[ start ]==> (((a b) c)(a (a b))) REDUCED to normal form. ------ 59545/4584009. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(a a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 59546/4584036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 59547/4584090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 59548/4584117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 59549/4584135. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 59550/4584216. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59551/4584342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a) a)) REDUCED to normal form. ------ 59552/4584369. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a (a b))((^y.y) b)) 6. ==[ alpha ]==> ((a (a b))((^x.x) b)) 7. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 59553/4584531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 59554/4584558. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (b a))((^x.(x x)) c)) 3. ==[ beta ]==> ((a (b a))(c c)) REDUCED to normal form. ------ 59555/4584648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.a))) 5. ==[ beta ]==> (b (a (^z.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 59556/4584729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59557/4584837. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 59558/4584864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59559/4584900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (a (a a)))) REDUCED to normal form. ------ 59560/4584918. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 59561/4584927. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 59562/4584981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 59563/4584999. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 59564/4585008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 59565/4585035. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 59566/4585107. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 59567/4585125. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 59568/4585152. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 59569/4585179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a)) a)) 5. ==[ beta ]==> ((a (a a))((a (a a)) a)) REDUCED to normal form. ------ 59570/4585206. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a) b)) 3. ==[ beta ]==> (((a (a a))(a b))(a b)) REDUCED to normal form. ------ 59571/4585287. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x)) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 59572/4585314. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) b)) 5. ==[ beta ]==> (((a a) a)((^y.a) b)) 6. ==[ alpha ]==> (((a a) a)((^x.a) b)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 59573/4585395. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 59574/4585404. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59575/4585485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 59576/4585566. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (b (c (^x1.x1))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 59577/4585674. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59578/4585701. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59579/4585710. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 59580/4585728. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59581/4585782. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 59582/4585791. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b a)) REDUCED to normal form. ------ 59583/4585818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a b)) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59584/4585863. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (b (a (^x1.x1))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 59585/4585872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 59586/4591107. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a))) c) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 59587/4591116. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a))) b) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 59588/4591140. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59589/4591221. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59590/4591314. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 59591/4591383. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (^y.(((a a)(^z.z)) c)) 4. ==[ alpha ]==> (^x.(((a a)(^y.y)) c)) REDUCED to normal form. ------ 59592/4591611. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 59593/4591626. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59594/4591725. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(((a b)(a (a a)))((a b)(a (a a))))) REDUCED to normal form. ------ 59595/4591908. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 59596/4591950. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59597/4592178. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(b a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x a))) REDUCED to normal form. ------ 59598/4592457. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 59599/4592508. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((((^y.y)(a a))(a (^z.z)))(((^y.y)(a a))(a (^z.z))))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(a (^x1.x1))))(((^y1.y1)(a a))(a (^z1.z1)))) 5. ==[ beta ]==> ((((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1))))(((^y1.y1)(a a))(a (^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z))))(((^x1.x1)(a a))(a (^y1.y1)))) 7. ==[ beta ]==> ((((a a)(a (^x.x)))((a a)(a (^z.z))))(((^x1.x1)(a a))(a (^y1.y1)))) 8. ==[ alpha ]==> ((((a a)(a (^x.x)))((a a)(a (^y.y))))(((^z.z)(a a))(a (^x1.x1)))) 9. ==[ beta ]==> ((((a a)(a (^x.x)))((a a)(a (^y.y))))((a a)(a (^x1.x1)))) 10. ==[ alpha ]==> ((((a a)(a (^x.x)))((a a)(a (^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 59600/4592841. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59601/4593204. ------ 1. ==[ start ]==> (((a b) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59602/4593429. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 59603/4593654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 59604/4593879. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 59605/4594473. ------ 1. ==[ start ]==> (((a b) c)(^b.(^a.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.x))) REDUCED to normal form. ------ 59606/4594662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59607/4594995. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 59608/4595046. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(a (^y.y)))) 3. ==[ eta ]==> (b ((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 59609/4595283. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 59610/4595418. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59611/4595553. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 59612/4595595. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59613/4595778. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x (x x)))) REDUCED to normal form. ------ 59614/4595877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59615/4596174. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 59616/4596219. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59617/4596273. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 59618/4596282. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59619/4596309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a a))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59620/4596354. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 59621/4596363. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 59622/4596393. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 59623/4596402. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 59624/4596447. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 59625/4596456. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 59626/4596474. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 59627/4596483. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 59628/4596510. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59629/4596537. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 59630/4596555. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59631/4596564. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 59632/4596582. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 59633/4596591. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 59634/4596609. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 59635/4596636. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 59636/4596672. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59637/4596753. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 59638/4596780. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59639/4596807. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 59640/4596861. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59641/4596879. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 59642/4596897. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(a a))) 3. ==[ beta ]==> (((a a) a)((b a)(a a))) REDUCED to normal form. ------ 59643/4596924. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 59644/4596951. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 59645/4596978. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 59646/4597158. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 59647/4597176. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 59648/4597203. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 59649/4597293. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 59650/4597338. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59651/4597365. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 59652/4597428. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(b a))) 3. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 59653/4597473. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 59654/4597482. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59655/4597509. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 59656/4597536. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 59657/4597590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59658/4597680. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(b ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 59659/4597707. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 59660/4597734. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 59661/4597761. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 59662/4598013. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 59663/4598022. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 59664/4598049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59665/4598094. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 59666/4598265. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59667/4598283. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b) c)) 3. ==[ beta ]==> ((^y.b)((a b) c)) 4. ==[ alpha ]==> ((^x.b)((a b) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 59668/4598427. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 59669/4598454. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 59670/4598472. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 59671/4598499. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59672/4598643. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.b))) REDUCED to normal form. ------ 59673/4598679. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 59674/4598832. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59675/4598877. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59676/4598904. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 59677/4598958. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) b)) 5. ==[ beta ]==> ((^y.y)((a b) b)) 6. ==[ alpha ]==> ((^x.x)((a b) b)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 59678/4599048. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) b)(^y.y)) 6. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 59679/4599075. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 59680/4599102. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 59681/4599129. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 59682/4599174. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) b)) 9. ==[ beta ]==> ((^y.y)((^z.b) b)) 10. ==[ alpha ]==> ((^x.x)((^y.b) b)) 11. ==[ beta ]==> ((^y.b) b) 12. ==[ alpha ]==> ((^x.b) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 59683/4599327. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 59684/4599480. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59685/4599579. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 59686/4599723. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b) c)(^y.b)) 4. ==[ alpha ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 59687/4599795. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 59688/4599858. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 59689/4599912. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59690/4599957. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59691/4599966. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 59692/4599993. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 59693/4600020. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 59694/4600218. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(b (^y.y))) 6. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 59695/4600245. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 59696/4600272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 59697/4600299. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 59698/4600470. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 59699/4600533. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 59700/4600578. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a)) b)) 3. ==[ beta ]==> ((b a)((a (a a)) b)) REDUCED to normal form. ------ 59701/4600641. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 59702/4600668. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 59703/4600740. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59704/4600749. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.a))) REDUCED to normal form. ------ 59705/4600776. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 59706/4600803. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 59707/4600848. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 59708/4600866. ------ 1. ==[ start ]==> (((a a)(b a))(c c)) REDUCED to normal form. ------ 59709/4601001. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 59710/4601028. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 59711/4601055. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a a))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 59712/4601082. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 59713/4601127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59714/4601145. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59715/4601226. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a) a)) 5. ==[ beta ]==> ((a a)(((^z.z) a) a)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59716/4601307. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (b ((^x1.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59717/4601415. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59718/4601424. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 59719/4601442. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 59720/4601451. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 59721/4601469. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59722/4601523. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 59723/4601532. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 59724/4601559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59725/4601604. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (b ((^x1.x1) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59726/4601613. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 59727/4601630. ------ 1. ==[ start ]==> (^a.((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(x (x x)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 59728/4601631. ------ 1. ==[ start ]==> (a ((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 59729/4602129. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59730/4604793. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((^x.((x x)(^y.y))) a) 4. ==[ beta ]==> ((a a)(^y.y)) 5. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 59731/4606386. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^x1.(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59732/4606866. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a))) c) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 59733/4606890. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(a (a a))) 4. ==[ alpha ]==> ((^x.(a a))(a (a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59734/4606917. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1)))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (b ((^x1.b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 59735/4606944. ------ 1. ==[ start ]==> ((^a.b)((^c.a)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 59736/4607025. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^z.a)((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 59737/4607214. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59738/4607385. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59739/4607388. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 59740/4607835. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59741/4607937. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 59742/4608729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 59743/4608780. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59744/4608981. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 59745/4609167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.(((a (^z.z))(a b))((a (^z.z))(a b)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(a b))((a (^z.z))(a b)))) REDUCED to normal form. ------ 59746/4609374. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)((a a) a))((^z.a)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)((a a) a))((^z.a)((a a) a)))) 5. ==[ beta ]==> (((^y.a)((a a) a))((^z.a)((a a) a))) 6. ==[ alpha ]==> (((^x.a)((a a) a))((^y.a)((a a) a))) 7. ==[ beta ]==> (a ((^y.a)((a a) a))) 8. ==[ alpha ]==> (a ((^x.a)((a a) a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59747/4609863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 59748/4610049. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((((^z.z)(a b))((^z.z)(a b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a b))((^y.y)(a b)))(^z.z)) 5. ==[ beta ]==> (((a b)((^y.y)(a b)))(^z.z)) 6. ==[ alpha ]==> (((a b)((^x.x)(a b)))(^y.y)) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 59749/4610052. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a y))) 3. ==[ eta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 59750/4610592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((a a) a))) REDUCED to normal form. ------ 59751/4610754. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 59752/4610898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (^x.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59753/4611042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59754/4611429. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 59755/4611537. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 59756/4611642. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 59757/4611645. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 59758/4611816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59759/4612041. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 59760/4612068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59761/4612113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (b (^x1.(x1 x1))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 59762/4612122. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 59763/4612152. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59764/4612170. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 59765/4612179. ------ 1. ==[ start ]==> ((a (a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 59766/4612206. ------ 1. ==[ start ]==> ((a b)((^c.a)((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 59767/4612224. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 59768/4612251. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 59769/4612260. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 59770/4612287. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 59771/4612332. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 59772/4612359. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 59773/4612386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) b)) REDUCED to normal form. ------ 59774/4612449. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 59775/4612476. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 59776/4612647. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 59777/4612755. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(a (a a)))) 5. ==[ beta ]==> (((a b)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 59778/4612782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 59779/4612836. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 59780/4612863. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 59781/4612890. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 59782/4612953. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 59783/4613016. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 59784/4613043. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 59785/4613061. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 59786/4613097. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 59787/4613223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a) a)) 3. ==[ beta ]==> (((^y.y) a)((b a) a)) 4. ==[ alpha ]==> (((^x.x) a)((b a) a)) 5. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 59788/4613250. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 59789/4613394. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 59790/4613421. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 59791/4613565. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 59792/4613619. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((^y.y)(^z.z))) 10. ==[ alpha ]==> (a ((^x.x)(^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 59793/4613700. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 59794/4613727. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 59795/4613763. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 59796/4613790. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 59797/4613817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59798/4613844. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 59799/4613880. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 59800/4613907. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)((a a) a))) REDUCED to normal form. ------ 59801/4613934. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a b))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 59802/4613961. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 59803/4613988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 59804/4614033. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 59805/4614042. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 59806/4614213. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (b (b ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 59807/4614240. ------ 1. ==[ start ]==> (((^a.a)(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 59808/4614249. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 59809/4614267. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 59810/4614303. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 59811/4614321. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 59812/4614402. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 59813/4614429. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 59814/4614447. ------ 1. ==[ start ]==> (((a a)(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(a a)))) REDUCED to normal form. ------ 59815/4614501. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 59816/4614528. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 59817/4614582. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 59818/4614600. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 59819/4614609. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b)(a a))(^y.y)) 10. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 59820/4614636. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 59821/4614888. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 59822/4614942. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a a))) 9. ==[ beta ]==> ((^y.y)((a b)(a a))) 10. ==[ alpha ]==> ((^x.x)((a b)(a a))) 11. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 59823/4614951. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 59824/4615023. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 59825/4615095. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 59826/4615122. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(a a)))) REDUCED to normal form. ------ 59827/4615149. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a a))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 59828/4615203. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 59829/4615230. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 59830/4615248. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 59831/4615257. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 59832/4615284. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 59833/4615311. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 59834/4615482. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 59835/4615518. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b) a)) 3. ==[ beta ]==> (((a a) b)((^y.b) a)) 4. ==[ alpha ]==> (((a a) b)((^x.b) a)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 59836/4615563. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 59837/4615590. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 59838/4615644. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 59839/4615707. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 59840/4615734. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 59841/4615761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 59842/4615788. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 59843/4615824. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 59844/4615851. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 59845/4615878. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 59846/4615905. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 59847/4615932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 9. ==[ beta ]==> ((^y.(y y))(^z.a)) 10. ==[ alpha ]==> ((^x.(x x))(^y.a)) 11. ==[ beta ]==> ((^y.a)(^y.a)) 12. ==[ alpha ]==> ((^x.a)(^y.a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 59848/4615959. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 59849/4615986. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 59850/4616157. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 59851/4616301. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 59852/4616427. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(b (a (a a)))) REDUCED to normal form. ------ 59853/4616490. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 59854/4616508. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 59855/4616517. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 59856/4616634. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 59857/4616661. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 59858/4616688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 59859/4616715. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 59860/4616742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 59861/4616769. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 59862/4616796. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(y y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 59863/4616904. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 59864/4617075. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (b (a ((^x1.x1) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59865/4617183. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59866/4617192. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 59867/4617219. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 59868/4617237. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 59869/4617291. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a a))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 59870/4617300. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 59871/4617327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59872/4617372. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 59873/4617381. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 59874/4617407. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.(z z)))) 3. ==[ beta ]==> (^x.((x x)(^z.(z z)))) 4. ==[ alpha ]==> (^x.((x x)(^y.(y y)))) REDUCED to normal form. ------ 59875/4617408. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (a ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 59876/4617906. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59877/4622670. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a))) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y))) a) 3. ==[ beta ]==> (((a a)(^y.(y y))) a) 4. ==[ alpha ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 59878/4622676. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 59879/4622685. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59880/4622703. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 59881/4622730. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 59882/4622766. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59883/4622877. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 59884/4623171. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 59885/4623174. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 59886/4623471. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 59887/4624263. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 59888/4624386. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 59889/4624566. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a)) b) b) 4. ==[ alpha ]==> ((((^x.x)(a a)) b) b) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 59890/4624767. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 59891/4624776. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 59892/4624953. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.b))) 3. ==[ beta ]==> (^y.((c (^z.b))(c (^z.b)))) 4. ==[ alpha ]==> (^x.((c (^y.b))(c (^z.b)))) REDUCED to normal form. ------ 59893/4625835. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^z.b))((a a)(^z.b)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.b))((a a)(^y.b)))(^z.z)) REDUCED to normal form. ------ 59894/4626018. ------ 1. ==[ start ]==> (((a b) c)(^d.((a a) a))) 2. ==[ alpha ]==> (((a b) c)(^x.((a a) a))) REDUCED to normal form. ------ 59895/4626045. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(y b))) 3. ==[ beta ]==> (((a a) b)(^y.(y b))) 4. ==[ alpha ]==> (((a a) b)(^x.(x b))) REDUCED to normal form. ------ 59896/4626207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59897/4626591. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) b)) 3. ==[ eta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59898/4627140. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 59899/4627323. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.d)) REDUCED to normal form. ------ 59900/4627440. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59901/4627521. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 59902/4627602. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 59903/4627737. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 59904/4627827. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 59905/4627899. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59906/4627908. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 59907/4627935. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 59908/4627947. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 59909/4627956. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 59910/4627974. ------ 1. ==[ start ]==> ((a (a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 59911/4627983. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59912/4628001. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 59913/4628037. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 59914/4628055. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 59915/4628091. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59916/4628118. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59917/4628145. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 59918/4628172. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 59919/4628280. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 59920/4628361. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 59921/4628388. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59922/4628424. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (b a))) 3. ==[ beta ]==> ((a (^y.y))(b (b a))) 4. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 59923/4628442. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 59924/4628460. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 59925/4628532. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 59926/4628613. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a b)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a b)((^x.x)((a a) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 59927/4628640. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(a b))) REDUCED to normal form. ------ 59928/4628667. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 59929/4628694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 59930/4628721. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 59931/4628739. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 59932/4628784. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 59933/4628811. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 59934/4628838. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 59935/4628865. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 59936/4628901. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59937/4628928. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 59938/4628982. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59939/4629117. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 59940/4629450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((a a) a))) 5. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 59941/4629477. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a b))) 3. ==[ beta ]==> ((((a a) a) a)(a (a b))) REDUCED to normal form. ------ 59942/4629522. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 59943/4629531. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 59944/4629657. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 59945/4629675. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 59946/4629729. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.b))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.b))) REDUCED to normal form. ------ 59947/4629756. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 59948/4629810. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 59949/4629837. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((a (a b))((a a) b)) REDUCED to normal form. ------ 59950/4629846. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 59951/4629927. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 59952/4629990. ------ 1. ==[ start ]==> ((((a a) a) b)(c (a b))) REDUCED to normal form. ------ 59953/4630008. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59954/4630017. ------ 1. ==[ start ]==> (((a b) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) a)(b (a a))) REDUCED to normal form. ------ 59955/4630035. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 59956/4630044. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 59957/4630098. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 59958/4630125. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 59959/4630152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 59960/4630179. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 59961/4630206. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 59962/4630224. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.b))) REDUCED to normal form. ------ 59963/4630296. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 59964/4630323. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 59965/4630350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.a))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.a))) 7. ==[ beta ]==> (a (((a a) a)(^y.a))) 8. ==[ alpha ]==> (a (((a a) a)(^x.a))) REDUCED to normal form. ------ 59966/4630377. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 59967/4630404. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 59968/4630440. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59969/4630467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59970/4630521. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((^y.(a a))(^z.z)) 8. ==[ alpha ]==> ((^x.(a a))(^y.y)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 59971/4630602. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59972/4630656. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 59973/4630665. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 59974/4630683. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59975/4630692. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (a b))) REDUCED to normal form. ------ 59976/4630746. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 59977/4630773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> ((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y)))) 8. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 59978/4630800. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 59979/4630827. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 59980/4630854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 59981/4630944. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 59982/4630971. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 59983/4630998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 9. ==[ beta ]==> ((a (a a))(^y.a)) 10. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 59984/4631025. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 59985/4631043. ------ 1. ==[ start ]==> (((^a.b) c)(d e)) 2. ==[ alpha ]==> (((^x.b) c)(d e)) 3. ==[ beta ]==> (b (d e)) REDUCED to normal form. ------ 59986/4631052. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 59987/4631106. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 59988/4631142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 59989/4631277. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 59990/4631286. ------ 1. ==[ start ]==> (((a b) c)(b ((a a) a))) REDUCED to normal form. ------ 59991/4631313. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (a b))) 3. ==[ beta ]==> (((a a) b)(a (a b))) REDUCED to normal form. ------ 59992/4631340. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 59993/4631394. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 59994/4631421. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))(a (a (a a)))) REDUCED to normal form. ------ 59995/4631475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 59996/4631520. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 59997/4631619. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 59998/4631673. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a) a)) 3. ==[ beta ]==> ((a (a b))(((a a) a) a)) REDUCED to normal form. ------ 59999/4631700. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 60000/4631862. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 60001/4631952. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 60002/4632033. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 60003/4632141. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 60004/4632168. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60005/4632204. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(c a)) REDUCED to normal form. ------ 60006/4632222. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 60007/4632231. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (a (a a)))) REDUCED to normal form. ------ 60008/4632285. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 60009/4632312. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 60010/4632339. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 60011/4632366. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a (a a)))) REDUCED to normal form. ------ 60012/4632411. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 60013/4632429. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 60014/4632456. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 60015/4632483. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 60016/4632510. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a)) a)) REDUCED to normal form. ------ 60017/4632537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a) b)) 5. ==[ beta ]==> (((a a) a)(((^y.y) a) b)) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 60018/4632618. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(y y)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(x x)) a)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 60019/4632645. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 60020/4632690. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60021/4632708. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60022/4632789. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60023/4632870. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 60024/4632978. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60025/4632987. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b b)) REDUCED to normal form. ------ 60026/4633005. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 60027/4633032. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60028/4633086. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.y))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 60029/4633095. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 60030/4633122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b a)) 5. ==[ beta ]==> ((^y.b)(b a)) 6. ==[ alpha ]==> ((^x.b)(b a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60031/4633167. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60032/4633176. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 60033/4633203. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 60034/4638474. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a))) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y))) b) 3. ==[ beta ]==> (((a a)(^y.(y y))) b) 4. ==[ alpha ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 60035/4638498. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60036/4638579. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60037/4638699. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 60038/4638741. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((b a) b)) 3. ==[ beta ]==> (^y.((b a) b)) 4. ==[ alpha ]==> (^x.((b a) b)) REDUCED to normal form. ------ 60039/4639005. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 60040/4639083. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^z.z) a))((((^y.y)(a a))((^z.z) a))(((^y.y)(a a))((^z.z) a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((((^z.z)(a a))((^x1.x1) a))(((^y1.y1)(a a))((^z1.z1) a)))) 5. ==[ beta ]==> (((a a)((^y.y) a))((((^z.z)(a a))((^x1.x1) a))(((^y1.y1)(a a))((^z1.z1) a)))) 6. ==[ alpha ]==> (((a a)((^x.x) a))((((^y.y)(a a))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a)))) 7. ==[ beta ]==> (((a a) a)((((^y.y)(a a))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a)))) 8. ==[ alpha ]==> (((a a) a)((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))) 9. ==[ beta ]==> (((a a) a)(((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))) 10. ==[ alpha ]==> (((a a) a)(((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a)))) 11. ==[ beta ]==> (((a a) a)(((a a) a)(((^y.y)(a a))((^z.z) a)))) 12. ==[ alpha ]==> (((a a) a)(((a a) a)(((^x.x)(a a))((^y.y) a)))) 13. ==[ beta ]==> (((a a) a)(((a a) a)((a a)((^y.y) a)))) 14. ==[ alpha ]==> (((a a) a)(((a a) a)((a a)((^x.x) a)))) 15. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 60041/4639293. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60042/4639308. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60043/4639563. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y a))) 5. ==[ beta ]==> (a (^y.(y a))) 6. ==[ alpha ]==> (a (^x.(x a))) REDUCED to normal form. ------ 60044/4639842. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a a)) b) 4. ==[ beta ]==> (((^y.y)(a a)) b) 5. ==[ alpha ]==> (((^x.x)(a a)) b) 6. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 60045/4639866. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((((a a)(^y.y))(a a))(((a a)(^y.y))(a a)))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((((a a)(^x.x))(a a))(((a a)(^y.y))(a a)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 60046/4640199. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60047/4640589. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 60048/4641462. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a b))) REDUCED to normal form. ------ 60049/4641858. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.y))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 60050/4642047. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 60051/4642380. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((y y) y))) REDUCED to normal form. ------ 60052/4642404. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(a a))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 60053/4642953. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60054/4643163. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y (y y)))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (x x)))) REDUCED to normal form. ------ 60055/4643241. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^x1.x1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 60056/4643334. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 60057/4643415. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60058/4643559. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 60059/4643667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60060/4643712. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 60061/4643721. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60062/4643748. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 60063/4643778. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 60064/4643787. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (a ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (a ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60065/4643805. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 60066/4643814. ------ 1. ==[ start ]==> (((a a) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 60067/4643859. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 60068/4643868. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60069/4643895. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60070/4643922. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 60071/4643949. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 60072/4643967. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60073/4643976. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 60074/4643994. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 60075/4644003. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 60076/4644021. ------ 1. ==[ start ]==> ((a (^b.a))((b a) b)) 2. ==[ alpha ]==> ((a (^x.a))((b a) b)) REDUCED to normal form. ------ 60077/4644057. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60078/4644138. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 60079/4644165. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60080/4644192. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 60081/4644219. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 60082/4644282. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 60083/4644309. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a a))) REDUCED to normal form. ------ 60084/4644336. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 60085/4644363. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> ((a (a (a a)))((a a) a)) REDUCED to normal form. ------ 60086/4644516. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 60087/4644570. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60088/4644588. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 60089/4644678. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 60090/4644723. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60091/4644750. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 60092/4644813. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 60093/4644840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(b a))) 5. ==[ beta ]==> (a ((^y.y)(b a))) 6. ==[ alpha ]==> (a ((^x.x)(b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 60094/4644858. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) a)) 5. ==[ beta ]==> ((^y.y)((b a) a)) 6. ==[ alpha ]==> ((^x.x)((b a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 60095/4644885. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 60096/4644921. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 60097/4644948. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 60098/4645092. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 60099/4645119. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (b a))) 3. ==[ beta ]==> (((^y.y)(a a))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 60100/4645146. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 60101/4645182. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60102/4645353. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 60103/4645398. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.z))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 60104/4645407. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 60105/4645434. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60106/4645461. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 60107/4645479. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 60108/4645650. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60109/4645668. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60110/4645812. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 60111/4645839. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 60112/4645866. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 60113/4645938. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b) c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b) c)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 60114/4646064. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a b))) REDUCED to normal form. ------ 60115/4646091. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 60116/4646217. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60117/4646262. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60118/4646289. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 60119/4646343. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(a a)) a) 8. ==[ alpha ]==> (((^x.x)(a a)) a) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60120/4646433. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 60121/4646460. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 60122/4646487. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 60123/4646514. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 60124/4646559. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 9. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 11. ==[ beta ]==> ((^y.(a a)) a) 12. ==[ alpha ]==> ((^x.(a a)) a) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60125/4646712. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 60126/4646739. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(a b))) REDUCED to normal form. ------ 60127/4646865. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 60128/4646964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 60129/4647108. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 60130/4647135. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) b)(^y.b)) 6. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 60131/4647207. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60132/4647297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60133/4647324. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 60134/4647342. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 60135/4647351. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 60136/4647378. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60137/4647405. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 60138/4647603. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (a (a a)))) 3. ==[ beta ]==> (((a b) a)(c (a (a a)))) REDUCED to normal form. ------ 60139/4647630. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 60140/4647657. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((a a) a))) REDUCED to normal form. ------ 60141/4647684. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 60142/4647855. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 60143/4647918. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 60144/4647963. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 60145/4647990. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 60146/4648026. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 60147/4648053. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 60148/4648125. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (b ((^y.(y y)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 60149/4648161. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 60150/4648188. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 60151/4648233. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 60152/4648413. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(b a)) REDUCED to normal form. ------ 60153/4648440. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a (a a)))) REDUCED to normal form. ------ 60154/4648467. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 60155/4648512. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60156/4648521. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 60157/4648611. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.a))) 5. ==[ beta ]==> ((a a)((a a)(^z.a))) 6. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 60158/4648692. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 60159/4648800. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60160/4648809. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 60161/4648827. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 60162/4648836. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 60163/4648854. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 60164/4648908. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 60165/4648917. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 60166/4648944. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60167/4648989. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 60168/4648998. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60169/4649025. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 60170/4654356. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(a (a a)))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(a (a a)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60171/4654383. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 60172/4654464. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.(z z))((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 60173/4654653. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60174/4654824. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 60175/4654845. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60176/4656195. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 60177/4656219. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60178/4656447. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 60179/4656606. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (^y.((((^z.z) a)((a a) a))(((^z.z) a)((a a) a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 5. ==[ beta ]==> (^x.((a ((a a) a))(((^z.z) a)((a a) a)))) 6. ==[ alpha ]==> (^x.((a ((a a) a))(((^y.y) a)((a a) a)))) 7. ==[ beta ]==> (^x.((a ((a a) a))(a ((a a) a)))) REDUCED to normal form. ------ 60180/4656813. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))((^x1.x1)(^y1.y1)))((^z.(z z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 15. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 17. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 18. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 19. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 20. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 21. ==[ beta ]==> ((^y.y)(^z.z)) 22. ==[ alpha ]==> ((^x.x)(^y.y)) 23. ==[ beta ]==> (^y.y) 24. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60181/4657122. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 11. ==[ beta ]==> (^y.((^z.z)(y y))) 12. ==[ alpha ]==> (^x.((^y.y)(x x))) 13. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 60182/4657329. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 60183/4657488. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((a a) a))((^z.(^x1.x1))((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a) a)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a) a)))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60184/4658058. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a b))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a b))(^x.((a a) a))) REDUCED to normal form. ------ 60185/4658220. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.a))) REDUCED to normal form. ------ 60186/4658895. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 60187/4659003. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 60188/4659081. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((b (^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 60189/4659417. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 60190/4659471. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 60191/4659507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60192/4659552. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 60193/4659561. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 60194/4659588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 60195/4659636. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (a (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (a ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 60196/4659645. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 60197/4659663. ------ 1. ==[ start ]==> (((a a) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 60198/4659672. ------ 1. ==[ start ]==> ((a b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 60199/4659717. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 60200/4659726. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 60201/4659744. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 60202/4659753. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 60203/4659771. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 60204/4659825. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60205/4659852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 60206/4659906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 60207/4659942. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60208/4660113. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (b a))) REDUCED to normal form. ------ 60209/4660131. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60210/4660221. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z) a))(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 9. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 10. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 11. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 12. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 13. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 60211/4660248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 60212/4660302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60213/4660329. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a b))) REDUCED to normal form. ------ 60214/4660356. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60215/4660410. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)(b a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(b a))) REDUCED to normal form. ------ 60216/4660509. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 60217/4660527. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.(y y)))) 3. ==[ beta ]==> ((b b)((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 60218/4660536. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 60219/4660662. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 60220/4660716. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 60221/4660743. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 60222/4660770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a)) c)) 5. ==[ beta ]==> ((a (^x.a))((a a) c)) REDUCED to normal form. ------ 60223/4660860. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 60224/4660887. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 60225/4660914. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60226/4661031. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 60227/4661085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (a (((a a) a)(a (a a)))) REDUCED to normal form. ------ 60228/4661166. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 60229/4661193. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 60230/4661256. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 60231/4661283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60232/4661310. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 60233/4661373. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 60234/4661400. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 60235/4661427. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(a b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a b))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 60236/4661454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 60237/4661481. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 60238/4661499. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y)) a)) 3. ==[ beta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 60239/4661508. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 60240/4661679. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 60241/4661706. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 60242/4661733. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 60243/4661769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 60244/4661787. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 60245/4661796. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 60246/4661823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a) d)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a) d)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a) d)) 5. ==[ beta ]==> ((^y.a)((^z.a) d)) 6. ==[ alpha ]==> ((^x.a)((^y.a) d)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60247/4661868. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 60248/4661895. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 60249/4661913. ------ 1. ==[ start ]==> (((a a)(a b))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.b))) REDUCED to normal form. ------ 60250/4661940. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(a a)))) REDUCED to normal form. ------ 60251/4661994. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 60252/4662021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.b)(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.b)(a (^y.y)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 60253/4662066. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 60254/4662075. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 60255/4662102. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((a (a a))(^y.y)) 12. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 60256/4662354. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 60257/4662408. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 10. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 11. ==[ beta ]==> (a ((^y.y)(a a))) 12. ==[ alpha ]==> (a ((^x.x)(a a))) 13. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60258/4662417. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 60259/4662444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.b) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.b) b)) 7. ==[ beta ]==> (((^y.b) b)((^y.b) b)) 8. ==[ alpha ]==> (((^x.b) b)((^y.b) b)) 9. ==[ beta ]==> (b ((^y.b) b)) 10. ==[ alpha ]==> (b ((^x.b) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 60260/4662471. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 60261/4662489. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60262/4662588. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.b))) REDUCED to normal form. ------ 60263/4662615. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a (^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 60264/4662642. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 60265/4662696. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 60266/4662714. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 60267/4662723. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 60268/4662750. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 60269/4662777. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 60270/4662948. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 60271/4663011. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 60272/4663029. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 60273/4663056. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 60274/4663065. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 60275/4663110. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 60276/4663200. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 60277/4663227. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60278/4663254. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.a))) REDUCED to normal form. ------ 60279/4663290. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 60280/4663317. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 60281/4663344. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 60282/4663398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60283/4663425. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 60284/4663452. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 60285/4663479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 60286/4663623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 60287/4663767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 60288/4663875. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(a c)) REDUCED to normal form. ------ 60289/4663893. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(c ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(c ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))(c a)) REDUCED to normal form. ------ 60290/4663956. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60291/4663974. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 60292/4663983. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(b b)) REDUCED to normal form. ------ 60293/4664010. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 60294/4664100. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a)(b a))((a a)(a a))) REDUCED to normal form. ------ 60295/4664127. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 60296/4664154. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 60297/4664181. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (a a))) REDUCED to normal form. ------ 60298/4664208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 60299/4664235. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 60300/4664262. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 60301/4664289. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 60302/4664370. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 60303/4664379. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60304/4664460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 60305/4664541. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (b (b (a (^x1.x1)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 60306/4664658. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 60307/4664676. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 60308/4664685. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 60309/4664703. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 60310/4664757. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (a (^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (a (^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 60311/4664766. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 60312/4664793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) b)) 5. ==[ beta ]==> ((^y.b)((^z.z) b)) 6. ==[ alpha ]==> ((^x.b)((^y.y) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60313/4664838. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 60314/4664847. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 60315/4664874. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 60316/4664900. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.x))) REDUCED to normal form. ------ 60317/4664901. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 60318/4665723. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60319/4669368. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60320/4670190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 60321/4670196. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 60322/4670223. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(z z)))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 60323/4670250. ------ 1. ==[ start ]==> ((^a.b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 60324/4670331. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^z.(a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 60325/4670424. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 60326/4670448. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60327/4671015. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60328/4671018. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 60329/4671141. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60330/4671288. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z a))) 5. ==[ beta ]==> ((^y.y)(^z.(z a))) 6. ==[ alpha ]==> ((^x.x)(^y.(y a))) 7. ==[ beta ]==> (^y.(y a)) 8. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 60331/4671906. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60332/4672086. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(^y.y)) a) b) 4. ==[ alpha ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 60333/4672314. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60334/4672680. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.(^x1.x1)))((a (a a))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 60335/4672773. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (^y.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 60336/4672989. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 11. ==[ beta ]==> (^y.(^z.(a a))) 12. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 60337/4672998. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 60338/4673394. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(a a))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 60339/4673592. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y b))) REDUCED to normal form. ------ 60340/4673772. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 60341/4673925. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 60342/4674111. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) a)) 3. ==[ eta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60343/4674393. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 60344/4674537. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60345/4674660. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60346/4674663. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 60347/4674762. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 60348/4675230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60349/4675284. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 60350/4675338. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60351/4675347. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 60352/4675374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a a))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60353/4675419. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 60354/4675428. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 60355/4675455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 60356/4675482. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 60357/4675494. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 60358/4675521. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 60359/4675530. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60360/4675548. ------ 1. ==[ start ]==> ((a b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 60361/4675557. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 60362/4675602. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.b)) 6. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 60363/4675629. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 60364/4675638. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60365/4675665. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60366/4675692. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 60367/4675719. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 60368/4675746. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 60369/4675764. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) b)) REDUCED to normal form. ------ 60370/4675827. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 60371/4675854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60372/4675908. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 60373/4675935. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60374/4676034. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60375/4676079. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 60376/4676160. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 60377/4676187. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 60378/4676214. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 60379/4676241. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 60380/4676268. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 60381/4676295. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(b a))) REDUCED to normal form. ------ 60382/4676313. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60383/4676331. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 60384/4676358. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 60385/4676385. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 60386/4676412. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 60387/4676439. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 60388/4676448. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60389/4676475. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60390/4676529. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 60391/4676583. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60392/4676664. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 60393/4676997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60394/4677024. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 60395/4677078. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 60396/4677105. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 60397/4677204. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 60398/4677222. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 60399/4677249. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 60400/4677303. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a)(a (^y.b))) 6. ==[ alpha ]==> (((a (a a)) a)(a (^x.b))) REDUCED to normal form. ------ 60401/4677330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 60402/4677384. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 60403/4677393. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60404/4677555. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60405/4677564. ------ 1. ==[ start ]==> (((a b) a)(c (a b))) REDUCED to normal form. ------ 60406/4677582. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 60407/4677591. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(b (a a))) REDUCED to normal form. ------ 60408/4677645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 60409/4677672. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 60410/4677699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60411/4677726. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 60412/4677753. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 60413/4677870. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 60414/4677897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 60415/4677924. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 60416/4677951. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(x x))) REDUCED to normal form. ------ 60417/4677978. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 60418/4677987. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60419/4678014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60420/4678068. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60421/4678149. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60422/4678203. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60423/4678230. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60424/4678239. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c ((a a) a))) REDUCED to normal form. ------ 60425/4678284. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 11. ==[ beta ]==> ((^y.y)(^z.(a a))) 12. ==[ alpha ]==> ((^x.x)(^y.(a a))) 13. ==[ beta ]==> (^y.(a a)) 14. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 60426/4678293. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 60427/4678320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a a))) 5. ==[ beta ]==> ((^y.(y y))((a b)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(a a))) 7. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 60428/4678347. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 60429/4678374. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 60430/4678401. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 60431/4678518. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 60432/4678545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 60433/4678572. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((((a a) a) a)(^y.a)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.a)) REDUCED to normal form. ------ 60434/4678599. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 60435/4678626. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 60436/4678689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 60437/4678824. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60438/4678833. ------ 1. ==[ start ]==> (((a b) c)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(c (^y.y))) 4. ==[ alpha ]==> (((a b) c)(c (^x.x))) REDUCED to normal form. ------ 60439/4678860. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b ((a a) a))) 3. ==[ beta ]==> (((a a) b)(b ((a a) a))) REDUCED to normal form. ------ 60440/4678887. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (a b))) REDUCED to normal form. ------ 60441/4678941. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 60442/4678968. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.b))((a (a a)) a)) REDUCED to normal form. ------ 60443/4679022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60444/4679049. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 60445/4679067. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 60446/4679166. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 60447/4679193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 60448/4679220. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.a))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.a))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.a))) REDUCED to normal form. ------ 60449/4679247. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 60450/4679274. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) b)) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 9. ==[ beta ]==> (((^y.y)(^z.z)) b) 10. ==[ alpha ]==> (((^x.x)(^y.y)) b) 11. ==[ beta ]==> ((^y.y) b) 12. ==[ alpha ]==> ((^x.x) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 60451/4679409. ------ 1. ==[ start ]==> ((a (b a))((^c.a) a)) 2. ==[ alpha ]==> ((a (b a))((^x.a) a)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 60452/4679499. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(z z)))) 5. ==[ beta ]==> (b (c (^z.(z z)))) 6. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 60453/4679580. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60454/4679643. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c d)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c d)) REDUCED to normal form. ------ 60455/4679688. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 60456/4679715. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60457/4679769. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 60458/4679778. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(c a)) REDUCED to normal form. ------ 60459/4679832. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 60460/4679859. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 60461/4679886. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 60462/4679913. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 60463/4679958. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 60464/4679976. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.x))) REDUCED to normal form. ------ 60465/4680003. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 60466/4680030. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 60467/4680057. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 60468/4680084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a)) a)) 5. ==[ beta ]==> (((a a) a)((a (a a)) a)) REDUCED to normal form. ------ 60469/4680111. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a b)) REDUCED to normal form. ------ 60470/4680138. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x)) c)) REDUCED to normal form. ------ 60471/4680192. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 60472/4680237. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60473/4680255. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60474/4680336. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60475/4680417. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60476/4680525. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60477/4680552. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60478/4680561. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 60479/4680579. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 60480/4680633. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 60481/4680642. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 60482/4680669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a a))) 5. ==[ beta ]==> ((^y.b)((a a)(a a))) 6. ==[ alpha ]==> ((^x.b)((a a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60483/4680714. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (b ((^x1.x1)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 60484/4680723. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 60485/4680750. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 60486/4680777. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 60487/4682166. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(b y))) 3. ==[ eta ]==> ((^x.((x x) x)) b) 4. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 60488/4684704. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((y y) y))) 3. ==[ eta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 60489/4686075. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 60490/4686099. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60491/4686327. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 60492/4686342. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 60493/4686633. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 60494/4686684. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z)))((((a a)(^y.y))(a (^z.z)))(((a a)(^y.y))(a (^z.z))))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((((a a)(^z.z))(a (^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1))))) REDUCED to normal form. ------ 60495/4687191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 60496/4687467. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (b a))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (b a))) 3. ==[ beta ]==> (((a (b a))(a (b a)))(a (b a))) REDUCED to normal form. ------ 60497/4687470. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(b a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(b x))) 3. ==[ eta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 60498/4687800. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60499/4687974. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 60500/4688667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 60501/4688892. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 60502/4689288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 60503/4689486. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 60504/4689675. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 60505/4690005. ------ 1. ==[ start ]==> ((^a.(b a))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(a ((a a) a))) 3. ==[ eta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 60506/4690008. ------ 1. ==[ start ]==> ((a (b a))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((x x) x))) REDUCED to normal form. ------ 60507/4690287. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60508/4690431. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 60509/4690791. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 60510/4690842. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x1.x1))(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60511/4691124. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60512/4691133. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.z))) REDUCED to normal form. ------ 60513/4691178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60514/4691241. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 60515/4691313. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 60516/4691322. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 60517/4691349. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 60518/4691376. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 60519/4691406. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 60520/4691433. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 60521/4691442. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 60522/4691460. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 60523/4691469. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 60524/4691496. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60525/4691523. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60526/4691541. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60527/4691550. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 60528/4691577. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 60529/4691604. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60530/4691622. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60531/4691631. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 60532/4691649. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 60533/4691766. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 60534/4691820. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 60535/4691847. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 60536/4691874. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 60537/4691910. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (b a))) 3. ==[ beta ]==> (((a a) a)(b (b a))) REDUCED to normal form. ------ 60538/4691937. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 60539/4691964. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(a a))) 3. ==[ beta ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 60540/4691991. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 60541/4692306. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 60542/4692351. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60543/4692432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 60544/4692441. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 60545/4692468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 60546/4692495. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 60547/4692513. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 60548/4692549. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 60549/4692576. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 60550/4692603. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.b)(^z.(z z))) 8. ==[ alpha ]==> ((^x.b)(^y.(y y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 60551/4692747. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(b ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 60552/4692774. ------ 1. ==[ start ]==> ((a ((a a) a))(a (b a))) REDUCED to normal form. ------ 60553/4692810. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60554/4692981. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(a a)))) REDUCED to normal form. ------ 60555/4693008. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 60556/4693089. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 60557/4693107. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 60558/4693278. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 60559/4693296. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60560/4693440. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 60561/4693467. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 60562/4693494. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 60563/4693566. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 60564/4693692. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a b))(a ((a a) a))) REDUCED to normal form. ------ 60565/4693719. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(a b))) REDUCED to normal form. ------ 60566/4693746. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 60567/4693845. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60568/4693890. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60569/4693917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 60570/4693971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 60571/4694052. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 60572/4694061. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 60573/4694088. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 60574/4694115. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 60575/4694142. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 60576/4694196. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 60577/4694268. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60578/4694340. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 60579/4694367. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 60580/4694394. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(a b))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a b))) REDUCED to normal form. ------ 60581/4694493. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60582/4694592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 60583/4694736. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 60584/4694763. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 60585/4694790. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.b)) REDUCED to normal form. ------ 60586/4694808. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 60587/4694925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60588/4694952. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 60589/4694979. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 60590/4695033. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 60591/4695285. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 60592/4695312. ------ 1. ==[ start ]==> ((a (b a))(a ((a a) a))) REDUCED to normal form. ------ 60593/4695483. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60594/4695546. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 60595/4695591. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 60596/4695618. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 60597/4695654. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 60598/4695672. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a) c)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) c)) 5. ==[ beta ]==> (((a b)(a b))(a c)) REDUCED to normal form. ------ 60599/4695681. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 60600/4695735. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60601/4695753. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60602/4696041. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (a (^x.x)))) REDUCED to normal form. ------ 60603/4696068. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 60604/4696095. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 60605/4696149. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 60606/4696239. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 60607/4696320. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (b ((a (^x1.x1)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 60608/4696437. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.a))) REDUCED to normal form. ------ 60609/4696455. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 60610/4696464. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 60611/4696482. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 60612/4696536. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a) b)) 7. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 60613/4696545. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 60614/4696572. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.z))) 5. ==[ beta ]==> ((^y.b)(b (^z.z))) 6. ==[ alpha ]==> ((^x.b)(b (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60615/4696617. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (b ((a a)(^x1.x1))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 60616/4696626. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 60617/4696653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 60618/4696680. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 60619/4697520. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60620/4698591. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.((a a)(^z.z))) b) 4. ==[ alpha ]==> ((^x.((a a)(^y.y))) b) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60621/4700616. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.a))) 3. ==[ eta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 60622/4701987. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a)) c) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a)) c) REDUCED to normal form. ------ 60623/4702065. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 60624/4702146. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60625/4702554. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 60626/4702830. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60627/4702833. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 60628/4702851. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60629/4702956. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60630/4703112. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 60631/4703895. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60632/4703901. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z))) b) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) b) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 60633/4703904. ------ 1. ==[ start ]==> ((a (a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 60634/4704288. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a (a a))((^z.z)(^x1.x1)))((a (a a))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a (a a))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.(((a (a a))(^z.z))((a (a a))((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.(((a (a a))(^y.y))((a (a a))(^x1.x1)))) 8. ==[ alpha ]==> (^x.(((a (a a))(^y.y))((a (a a))(^z.z)))) REDUCED to normal form. ------ 60635/4704495. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (a a)))((^z.(^x1.x1))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 5. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60636/4705038. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 60637/4705170. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.a)((^x1.x1)(^y1.y1)))((^z.a)((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((a ((^x1.a)((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((a a)(^x1.x1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60638/4705425. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 60639/4705587. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 60640/4705767. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 60641/4705926. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.a))) 3. ==[ eta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 60642/4705929. ------ 1. ==[ start ]==> ((a (b a))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 60643/4706370. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 60644/4706475. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60645/4706496. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60646/4706604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 60647/4706712. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 60648/4707054. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.c)) REDUCED to normal form. ------ 60649/4707162. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 60650/4707243. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 60651/4707297. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 60652/4707345. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (a (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 60653/4707372. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 60654/4707381. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 60655/4707399. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 60656/4707426. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 60657/4707453. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60658/4707462. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 60659/4707480. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 60660/4707561. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60661/4707597. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 60662/4707615. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 60663/4707867. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 60664/4707930. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z)))(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 60665/4707957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60666/4708011. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 60667/4708038. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 60668/4708065. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 60669/4708119. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 60670/4708146. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 60671/4708164. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 60672/4708236. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((b b)((a a)(^y.a))) 6. ==[ alpha ]==> ((b b)((a a)(^x.a))) REDUCED to normal form. ------ 60673/4708245. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 60674/4708272. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 60675/4708371. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.(a a)))) REDUCED to normal form. ------ 60676/4708452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a) a)) REDUCED to normal form. ------ 60677/4708479. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 60678/4708596. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 60679/4708623. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 7. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 60680/4708650. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 60681/4708740. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 60682/4708794. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)((^z.z) a))) 5. ==[ beta ]==> (a ((a b)((^z.z) a))) 6. ==[ alpha ]==> (a ((a b)((^x.x) a))) 7. ==[ beta ]==> (a ((a b) a)) REDUCED to normal form. ------ 60683/4708875. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 60684/4708902. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 60685/4708956. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 60686/4708992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60687/4709019. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 60688/4709055. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 60689/4709109. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 60690/4709136. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 60691/4709163. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 60692/4709190. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 60693/4709208. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 60694/4709217. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 60695/4709415. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (a b))) 3. ==[ beta ]==> ((a b)(c (a b))) REDUCED to normal form. ------ 60696/4709442. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 60697/4709478. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60698/4709496. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 60699/4709505. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 60700/4709532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b) c)) 5. ==[ beta ]==> ((^y.a)((^z.b) c)) 6. ==[ alpha ]==> ((^x.a)((^y.b) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60701/4709577. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 60702/4709604. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 60703/4709676. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 60704/4709730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a a))) 7. ==[ beta ]==> (a ((^y.(a a))(a a))) 8. ==[ alpha ]==> (a ((^x.(a a))(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60705/4709757. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 60706/4709775. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 60707/4709784. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 60708/4709811. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 60709/4709991. ------ 1. ==[ start ]==> (((a b) b)(((a a) a) c)) REDUCED to normal form. ------ 60710/4710117. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (a b))) 9. ==[ beta ]==> ((^y.y)(b (a b))) 10. ==[ alpha ]==> ((^x.x)(b (a b))) 11. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 60711/4710153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) a)) 7. ==[ beta ]==> (((^y.(a a)) a)((^y.(a a)) a)) 8. ==[ alpha ]==> (((^x.(a a)) a)((^y.(a a)) a)) 9. ==[ beta ]==> ((a a)((^y.(a a)) a)) 10. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60712/4710180. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 60713/4710198. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 60714/4710207. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 60715/4710297. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.a))) REDUCED to normal form. ------ 60716/4710324. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.b))) REDUCED to normal form. ------ 60717/4710351. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 60718/4710378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a a))) 5. ==[ beta ]==> ((a (a a))((^y.b)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(a a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 60719/4710423. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 60720/4710432. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 60721/4710459. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 60722/4710486. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 60723/4710738. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 60724/4710765. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 60725/4710774. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 60726/4710801. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 60727/4710819. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 60728/4710900. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 60729/4710936. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 60730/4710963. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 60731/4710999. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 60732/4711026. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 60733/4711053. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 60734/4711080. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a) a)) REDUCED to normal form. ------ 60735/4711134. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 60736/4711161. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a b) a)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 60737/4711188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 60738/4711215. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 60739/4711242. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a (b a))(^y.a)) 4. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 60740/4711332. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 60741/4711476. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 60742/4711584. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) b)) REDUCED to normal form. ------ 60743/4711611. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a c)) REDUCED to normal form. ------ 60744/4711683. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 60745/4711692. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 60746/4711719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 60747/4711746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 60748/4711791. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a (a a)))) REDUCED to normal form. ------ 60749/4711809. ------ 1. ==[ start ]==> (((a a)(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 60750/4711836. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 60751/4711863. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 60752/4711890. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 60753/4711917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 60754/4711944. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 60755/4711971. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 60756/4711998. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 60757/4712025. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 60758/4712070. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60759/4712088. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60760/4712169. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c b)) 5. ==[ beta ]==> ((a a)(c b)) REDUCED to normal form. ------ 60761/4712250. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 60762/4712358. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60763/4712394. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 60764/4712412. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 60765/4712466. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a a))) 7. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 60766/4712475. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 60767/4712502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60768/4712547. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 60769/4712556. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 60770/4712583. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 60771/4712610. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 60772/4712636. ------ 1. ==[ start ]==> (^a.((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((b x)(^y.(^z.z)))) REDUCED to normal form. ------ 60773/4712637. ------ 1. ==[ start ]==> (a ((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 60774/4712892. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 60775/4714530. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60776/4717959. ------ 1. ==[ start ]==> ((^a.a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 60777/4717986. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 60778/4718013. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 60779/4718049. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60780/4718094. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.b))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 60781/4718211. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 60782/4718214. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 60783/4718454. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 60784/4718904. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60785/4719078. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(z a))) 3. ==[ beta ]==> ((^y.y)(^z.(z a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 60786/4719600. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 60787/4719669. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60788/4719849. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 60789/4719852. ------ 1. ==[ start ]==> ((a (a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60790/4719861. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60791/4720113. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 60792/4720443. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 9. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 10. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 12. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 60793/4720788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> ((^y.((^z.z)(y y)))(^y.((^z.z)(y y)))) 8. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) 9. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))) 10. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))) 11. ==[ beta ]==> ((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))) 12. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z)))) IRREDUCIBLE: cycle. ------ 60794/4721118. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^z.z) a)(^x1.(^y1.y1)))(((^z.z) a)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 60795/4721373. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 60796/4721544. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 60797/4722048. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 60798/4722183. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60799/4722318. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60800/4722327. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 60801/4722423. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 60802/4722711. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> (((^x1.a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a) b)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 60803/4723020. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 60804/4723137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(y (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60805/4723182. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 60806/4723218. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 60807/4723245. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 60808/4723284. ------ 1. ==[ start ]==> ((a a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 60809/4723311. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 60810/4723338. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 60811/4723347. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60812/4723374. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 60813/4723419. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.b)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 60814/4723428. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60815/4723455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 60816/4723482. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 60817/4723509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60818/4723536. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 60819/4723554. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 60820/4723581. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a) b)) REDUCED to normal form. ------ 60821/4723617. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 60822/4723644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60823/4723725. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60824/4723779. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 60825/4723851. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 60826/4723869. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(a a))) 3. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 60827/4723950. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(a (a a)))) 3. ==[ beta ]==> ((a b)((a b)(a (a a)))) REDUCED to normal form. ------ 60828/4723977. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 60829/4724004. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 60830/4724031. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(a b))) REDUCED to normal form. ------ 60831/4724058. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 60832/4724085. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 60833/4724148. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.y))) REDUCED to normal form. ------ 60834/4724175. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 60835/4724202. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.a))) REDUCED to normal form. ------ 60836/4724229. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 60837/4724238. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60838/4724319. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 7. ==[ beta ]==> ((^y.(y y))(a b)) 8. ==[ alpha ]==> ((^x.(x x))(a b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 60839/4724373. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60840/4724400. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60841/4724787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 60842/4724814. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a) a)(^y.y)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 60843/4724868. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 60844/4724895. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 60845/4724913. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 60846/4724922. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 60847/4724994. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 60848/4725012. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 60849/4725039. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 60850/4725066. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 60851/4725120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 60852/4725147. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 60853/4725174. ------ 1. ==[ start ]==> ((a (a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 60854/4725183. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60855/4725264. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.a))) IRREDUCIBLE: cycle. ------ 60856/4725345. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60857/4725372. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 60858/4725381. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (a b))) REDUCED to normal form. ------ 60859/4725399. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60860/4725435. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 60861/4725462. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 60862/4725489. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)((a b)(a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 60863/4725516. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 60864/4725543. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 60865/4725687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (a (((^y.y)(a a))(^z.z))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 60866/4725714. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 60867/4725741. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 60868/4725768. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(^y.(y y))) 8. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 60869/4725777. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60870/4725804. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60871/4725858. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60872/4725939. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 60873/4725993. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 60874/4726020. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60875/4726074. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60876/4726083. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 60877/4726110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 10. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 60878/4726137. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(a a))) REDUCED to normal form. ------ 60879/4726164. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 60880/4726191. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 60881/4726335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.y))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 60882/4726362. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 60883/4726389. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 60884/4726416. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 60885/4726443. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 60886/4726479. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60887/4726614. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 60888/4726623. ------ 1. ==[ start ]==> (((a b) c)(d (a (a a)))) REDUCED to normal form. ------ 60889/4726650. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(c (^y.y))) 6. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 60890/4726677. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((a a) a))) REDUCED to normal form. ------ 60891/4726695. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 60892/4726731. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 60893/4726758. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 60894/4726812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60895/4726839. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 60896/4726857. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 60897/4726866. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 60898/4726956. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 60899/4726983. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(y y)))) REDUCED to normal form. ------ 60900/4727010. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 60901/4727064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) a)) 7. ==[ beta ]==> ((^y.y)(((a a) a) a)) 8. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 60902/4727091. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x) b)) 5. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 60903/4727118. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a)) c)) 3. ==[ beta ]==> (((a b) a)((a (a a)) c)) REDUCED to normal form. ------ 60904/4727370. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 60905/4727478. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 60906/4727505. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60907/4727559. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 60908/4727622. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 60909/4727640. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 60910/4727649. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 60911/4727676. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 60912/4727703. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 60913/4727748. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 60914/4727793. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 60915/4727820. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 60916/4727847. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 60917/4727874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 60918/4727901. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 60919/4727928. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(a b)) REDUCED to normal form. ------ 60920/4728027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60921/4728036. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 60922/4728126. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a a))) 5. ==[ beta ]==> ((a a)((^z.a)(a a))) 6. ==[ alpha ]==> ((a a)((^x.a)(a a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 60923/4728207. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 60924/4728315. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60925/4728324. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(a (^z.z)))) REDUCED to normal form. ------ 60926/4728342. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 60927/4728369. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60928/4728423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 60929/4728432. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 60930/4728459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)(a (a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60931/4728504. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 60932/4728513. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 60933/4728540. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 60934/4728567. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 60935/4728858. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60936/4733943. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60937/4734024. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60938/4734186. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60939/4734189. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 60940/4734504. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 60941/4734528. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(a a))) 3. ==[ beta ]==> (((b a)(a a))(((b a)(a a))((b a)(a a)))) REDUCED to normal form. ------ 60942/4735062. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z a))) REDUCED to normal form. ------ 60943/4735311. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((b ((a a)(^y.y)))(b ((a a)(^y.y))))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((b ((a a)(^x.x)))(b ((a a)(^y.y))))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 60944/4735644. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 60945/4735836. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 60946/4736088. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 60947/4736763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(a a)))) 7. ==[ beta ]==> ((^y.(^z.(a a)))(^y.(^z.(a a)))) 8. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 60948/4737546. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 60949/4737849. ------ 1. ==[ start ]==> ((^a.(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b ((^y.y)(^z.z)))) 3. ==[ eta ]==> (b (b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 60950/4738302. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 60951/4738419. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (a a)))) REDUCED to normal form. ------ 60952/4738686. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((((^x1.x1) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 60953/4738995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 60954/4739004. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 60955/4739112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 60956/4739157. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 60957/4739166. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 60958/4739193. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 60959/4739220. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 60960/4739277. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 60961/4739304. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 60962/4739331. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 60963/4739340. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 60964/4739358. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 60965/4739367. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 60966/4739412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60967/4739421. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 60968/4739439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 60969/4739448. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 60970/4739475. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 60971/4739502. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 60972/4739520. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 60973/4739556. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 60974/4739601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 60975/4739637. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 60976/4739664. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 60977/4739691. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 60978/4739718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 60979/4739745. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 60980/4739808. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (b a))) REDUCED to normal form. ------ 60981/4739835. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 60982/4739862. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(a a))) REDUCED to normal form. ------ 60983/4739898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60984/4740105. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 60985/4740177. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 60986/4740222. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 60987/4740249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 60988/4740303. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 60989/4740312. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a (a a)) b)((a b)(a b))) REDUCED to normal form. ------ 60990/4740339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60991/4740366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 60992/4740393. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 60993/4740438. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 60994/4740474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 60995/4740645. ------ 1. ==[ start ]==> ((a ((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 60996/4740735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a)) c)) 5. ==[ beta ]==> (a ((^z.(a a)) c)) 6. ==[ alpha ]==> (a ((^x.(a a)) c)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 60997/4740906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 60998/4740978. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 60999/4741149. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61000/4741167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 61001/4741248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b) c)) IRREDUCIBLE: cycle. ------ 61002/4741311. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 61003/4741338. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 61004/4741365. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 61005/4741419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 61006/4741518. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61007/4741563. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 61008/4741590. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 61009/4741617. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 61010/4741644. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 61011/4741716. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61012/4741761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61013/4741788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 61014/4741842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a (^y.y))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 61015/4741923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 61016/4741932. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 61017/4741986. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61018/4742013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 61019/4742067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61020/4742094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.(a a)))((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 9. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61021/4742139. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61022/4742211. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 61023/4742238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 61024/4742265. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 61025/4742292. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a b))) REDUCED to normal form. ------ 61026/4742364. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61027/4742463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 61028/4742607. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b) c)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 61029/4742634. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 61030/4742706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61031/4742760. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 61032/4742850. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 61033/4742877. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 61034/4743183. ------ 1. ==[ start ]==> ((a (b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (b a))(b (^y.y))) 4. ==[ alpha ]==> ((a (b a))(b (^x.x))) REDUCED to normal form. ------ 61035/4743273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) c)) 5. ==[ beta ]==> (b ((^z.(z z)) c)) 6. ==[ alpha ]==> (b ((^x.(x x)) c)) 7. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 61036/4743417. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 61037/4743462. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 61038/4743489. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61039/4743525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61040/4743543. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a)) b)) 3. ==[ beta ]==> (((a b)(a b))((a (a a)) b)) REDUCED to normal form. ------ 61041/4743552. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 61042/4743606. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61043/4743633. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 61044/4743750. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(a (a a)))) REDUCED to normal form. ------ 61045/4743831. ------ 1. ==[ start ]==> (((a (a a))(a b))(c c)) REDUCED to normal form. ------ 61046/4743966. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 61047/4744020. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 61048/4744029. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61049/4744110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 61050/4744191. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (b (((^x1.x1) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61051/4744299. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61052/4744308. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 61053/4744335. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 61054/4744353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 61055/4744407. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y)) a)) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y)) a)) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 61056/4744416. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61057/4744443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61058/4744488. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (b ((^x1.x1) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61059/4744497. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 61060/4744524. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 61061/4744551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 61062/4744595. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(x x))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61063/4744596. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61064/4749930. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a)) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a)) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61065/4749936. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61066/4749990. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 61067/4750209. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 61068/4750506. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61069/4750755. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61070/4750803. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 61071/4750881. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61072/4751352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 61073/4751826. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61074/4752108. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 61075/4752213. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 5. ==[ beta ]==> (^x.(((^z.z)(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 6. ==[ alpha ]==> (^x.(((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 7. ==[ beta ]==> (^x.((a (a a))(((^z.z)(^x1.x1))(a (a a))))) 8. ==[ alpha ]==> (^x.((a (a a))(((^y.y)(^z.z))(a (a a))))) 9. ==[ beta ]==> (^x.((a (a a))((^z.z)(a (a a))))) 10. ==[ alpha ]==> (^x.((a (a a))((^y.y)(a (a a))))) 11. ==[ beta ]==> (^x.((a (a a))(a (a a)))) REDUCED to normal form. ------ 61076/4752990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 61077/4753095. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((((^z.(z z))(a (a a)))((^z.(z z))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(a (a a)))((^y.(y y))(a (a a))))(^z.z)) 5. ==[ beta ]==> ((((a (a a))(a (a a)))((^y.(y y))(a (a a))))(^z.z)) 6. ==[ alpha ]==> ((((a (a a))(a (a a)))((^x.(x x))(a (a a))))(^y.y)) 7. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(^y.y)) 8. ==[ alpha ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(^x.x)) REDUCED to normal form. ------ 61078/4753377. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 61079/4753719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a) a))) 7. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 8. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 9. ==[ beta ]==> (^y.((a a) a)) 10. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 61080/4753851. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61081/4754025. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 61082/4754400. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61083/4754448. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 61084/4754556. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 61085/4755006. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.c)) REDUCED to normal form. ------ 61086/4755114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.b)) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61087/4755159. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 61088/4755168. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61089/4755222. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 61090/4755267. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61091/4755279. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61092/4755297. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 61093/4755324. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 61094/4755333. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 61095/4755351. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 61096/4755378. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 61097/4755387. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 61098/4755432. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) b)(^y.b)) 6. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 61099/4755459. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 61100/4755549. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 61101/4755567. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 61102/4755576. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 61103/4755792. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 61104/4755846. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61105/4755864. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61106/4755882. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a a))) 3. ==[ beta ]==> ((^y.(y y))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(a a))) 5. ==[ beta ]==> (((b a)(a a))((b a)(a a))) REDUCED to normal form. ------ 61107/4755909. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 61108/4755963. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 61109/4755990. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 61110/4756017. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 61111/4756071. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 61112/4756098. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 61113/4756143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61114/4756188. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 61115/4756224. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 61116/4756323. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))(^x.b))) REDUCED to normal form. ------ 61117/4756350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (a (a (^y.(a a)))) 8. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 61118/4756377. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 61119/4756431. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a) a)) 3. ==[ beta ]==> ((a (^y.a))((b a) a)) 4. ==[ alpha ]==> ((a (^x.a))((b a) a)) REDUCED to normal form. ------ 61120/4756458. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 61121/4756521. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 61122/4756575. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 61123/4756602. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 61124/4756629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 61125/4756692. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 61126/4756746. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (a (((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (a ((a a)(a (^y.y)))) 8. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 61127/4756827. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 61128/4756854. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 61129/4756908. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 61130/4756971. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 61131/4757007. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 61132/4757034. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 61133/4757088. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 61134/4757115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 61135/4757142. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 61136/4757160. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 61137/4757169. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 61138/4757448. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 61139/4757484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.a)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(a a)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61140/4757511. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 61141/4757529. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 61142/4757538. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a) d)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 61143/4757556. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 61144/4757655. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 61145/4757709. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 61146/4757727. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 61147/4757736. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 61148/4757943. ------ 1. ==[ start ]==> (((a b) b)((a b) b)) REDUCED to normal form. ------ 61149/4758132. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 61150/4758150. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 61151/4758159. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 61152/4758303. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.b))) REDUCED to normal form. ------ 61153/4758330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 61154/4758357. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a a))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 61155/4758375. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 61156/4758384. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 61157/4758411. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 61158/4758438. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 61159/4758618. ------ 1. ==[ start ]==> (((a b) c)((a (a a)) d)) REDUCED to normal form. ------ 61160/4758690. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 61161/4758717. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 61162/4758726. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 61163/4758753. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 61164/4758771. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 61165/4758852. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 61166/4758915. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 61167/4758951. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 61168/4758978. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) a))) 9. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 61169/4759005. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 61170/4759032. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 61171/4759059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 61172/4759113. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 61173/4759140. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 61174/4759167. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 61175/4759194. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 61176/4759284. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 61177/4759365. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 61178/4759428. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 61179/4759473. ------ 1. ==[ start ]==> (((^a.a)(b a))(c d)) 2. ==[ alpha ]==> (((^x.x)(b a))(c d)) 3. ==[ beta ]==> ((b a)(c d)) REDUCED to normal form. ------ 61180/4759536. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 61181/4759563. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a)) b)) REDUCED to normal form. ------ 61182/4759635. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 61183/4759671. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 61184/4759698. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 61185/4759743. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 61186/4759761. ------ 1. ==[ start ]==> (((a a)(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(x x)))) REDUCED to normal form. ------ 61187/4759788. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 61188/4759815. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a a))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 61189/4759842. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 61190/4759869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 61191/4759896. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 61192/4759923. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 61193/4759950. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 61194/4759977. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 61195/4760022. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61196/4760040. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61197/4760310. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61198/4760319. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 61199/4760337. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 61200/4760364. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 61201/4760427. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 61202/4760454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a) b)) 5. ==[ beta ]==> ((^y.b)((a a) b)) 6. ==[ alpha ]==> ((^x.b)((a a) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61203/4760499. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 61204/4760508. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 61205/4760535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 61206/4760562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 61207/4760607. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61208/4760615. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 61209/4760616. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 61210/4765950. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a)) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a)) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61211/4765959. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a)) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 61212/4765965. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61213/4765974. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61214/4765992. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 61215/4766019. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 61216/4766055. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61217/4766217. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(b a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61218/4766289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a) b)) 3. ==[ eta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 61219/4766460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 61220/4766553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 61221/4766559. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a)(((^y.(^z.(^x1.x1))) a)((^y.(^z.(^x1.x1))) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.(^y1.(^z1.z1))) a)((^x2.(^y2.(^z2.z2))) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.(^z1.z1))) a)((^x2.(^y2.(^z2.z2))) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1))) a)((^z1.(^x2.(^y2.y2))) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61222/4766784. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61223/4766910. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61224/4767675. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 61225/4767855. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(a a))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 61226/4768137. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61227/4768146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 61228/4768449. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.a))(((a a) a)(^z.a)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.a))(((a a) a)(^z.a)))) 5. ==[ beta ]==> ((((a a) a)(^y.a))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 61229/4768821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 61230/4769124. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a (a a))(^z.(z z)))((a (a a))(^z.(z z))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.(x x)))((a (a a))(^y.(y y))))(^z.z)) REDUCED to normal form. ------ 61231/4769406. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 61232/4769415. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z b))) REDUCED to normal form. ------ 61233/4770360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 61234/4770711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61235/4770717. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^x1.(x1 x1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61236/4770810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 61237/4770891. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 61238/4771053. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 61239/4771107. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 61240/4771116. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 61241/4771197. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 61242/4771251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 61243/4771296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61244/4771305. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 61245/4771317. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 61246/4771326. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 61247/4771344. ------ 1. ==[ start ]==> ((a (a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 61248/4771371. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 61249/4771407. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 61250/4771425. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 61251/4771488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61252/4771515. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 61253/4771542. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61254/4771569. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 61255/4771587. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61256/4771614. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 61257/4771641. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a) b)) 3. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 61258/4771731. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 61259/4771812. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 61260/4771902. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 61261/4771911. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 61262/4771983. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 61263/4772010. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(a (a a)))) REDUCED to normal form. ------ 61264/4772037. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 61265/4772064. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 61266/4772091. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 61267/4772118. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 61268/4772136. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 61269/4772208. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 61270/4772235. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 61271/4772262. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 61272/4772271. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61273/4772298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61274/4772352. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61275/4772406. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 61276/4772433. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61277/4772820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)((^y.y) a))) 5. ==[ beta ]==> (b ((a b)((^y.y) a))) 6. ==[ alpha ]==> (b ((a b)((^x.x) a))) 7. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 61278/4772847. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 61279/4772901. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))((a a) a))) REDUCED to normal form. ------ 61280/4772928. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a b))) REDUCED to normal form. ------ 61281/4772955. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 61282/4772982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61283/4773027. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 61284/4773045. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 61285/4773072. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 61286/4773099. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 61287/4773126. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 61288/4773180. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.b))) REDUCED to normal form. ------ 61289/4773207. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 61290/4773216. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 61291/4773297. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 61292/4773378. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61293/4773405. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 61294/4773432. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61295/4773468. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 61296/4773495. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 61297/4773522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61298/4773549. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 61299/4773576. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 61300/4773747. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 61301/4773774. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 61302/4773801. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 61303/4773810. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61304/4773837. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61305/4773891. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 7. ==[ beta ]==> ((^y.a)((a a) a)) 8. ==[ alpha ]==> ((^x.a)((a a) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 61306/4773972. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61307/4774053. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61308/4774107. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 11. ==[ beta ]==> ((^y.a)(^z.a)) 12. ==[ alpha ]==> ((^x.a)(^y.a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 61309/4774116. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 61310/4774143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a b))) 5. ==[ beta ]==> ((^y.(y y))(b (a b))) 6. ==[ alpha ]==> ((^x.(x x))(b (a b))) 7. ==[ beta ]==> ((b (a b))(b (a b))) REDUCED to normal form. ------ 61311/4774170. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 61312/4774197. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 61313/4774224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 61314/4774395. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.x))) REDUCED to normal form. ------ 61315/4774422. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 61316/4774449. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.a)) 8. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 61317/4774476. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 61318/4774512. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61319/4774647. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61320/4774755. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 61321/4774764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (a b))) REDUCED to normal form. ------ 61322/4774791. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 61323/4774845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61324/4774872. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 61325/4774890. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 61326/4774899. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 61327/4774926. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 61328/4774989. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 61329/4775016. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.a))) REDUCED to normal form. ------ 61330/4775043. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a b))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(x x)))) REDUCED to normal form. ------ 61331/4775070. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 61332/4775124. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 61333/4775151. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a b) a)((^y.y) b)) 6. ==[ alpha ]==> (((a b) a)((^x.x) b)) 7. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 61334/4775403. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 61335/4775511. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 61336/4775538. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61337/4775592. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 61338/4775655. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 61339/4775673. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61340/4775682. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 61341/4775709. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 61342/4775736. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a a))) REDUCED to normal form. ------ 61343/4775853. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 61344/4775880. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 61345/4775907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 61346/4775934. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 61347/4775961. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 61348/4775988. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a) b)) 5. ==[ beta ]==> (((a a) a)(((^y.y) a) b)) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a) b)) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 61349/4776060. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61350/4776069. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 61351/4776159. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(z z)))) 5. ==[ beta ]==> ((a a)(a (^z.(z z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 61352/4776240. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61353/4776357. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a a))) REDUCED to normal form. ------ 61354/4776375. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 61355/4776384. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 61356/4776402. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.a))) 3. ==[ beta ]==> ((^y.y)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 61357/4776456. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 61358/4776465. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a c)) REDUCED to normal form. ------ 61359/4776492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (a a))) 5. ==[ beta ]==> ((^y.b)(b (a a))) 6. ==[ alpha ]==> ((^x.b)(b (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61360/4776537. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (b (b (^x1.x1))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 61361/4776546. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 61362/4776573. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 61363/4776600. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 61364/4776645. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61365/4776654. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 61366/4777260. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y (^z.(^x1.x1))))((^y.(y (^z.(^x1.x1))))(^y.(y (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 (^y1.(^z1.z1))))(^x2.(x2 (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((^x1.(x1 (^y1.(^z1.z1))))(^x2.(x2 (^y2.(^z2.z2)))))(^y.(^z.z))) 6. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1)))))(^x2.(^y2.y2))) 7. ==[ beta ]==> (((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z)))(^x2.(^y2.y2))) 8. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 9. ==[ beta ]==> (((^x1.(^y1.y1))(^y.(^z.z)))(^z1.(^x2.x2))) 10. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 11. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61367/4781418. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^x1.(x1 (x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61368/4782006. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a)) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 61369/4782030. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61370/4782111. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61371/4782312. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 61372/4782609. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61373/4782615. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a (^y.(^z.z))))(a (a (^y.(^z.z)))))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a (^z.(^x1.x1))))(a (a (^y1.(^z1.z1)))))) REDUCED to normal form. ------ 61374/4782618. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 61375/4783176. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y a))) REDUCED to normal form. ------ 61376/4783731. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 61377/4784202. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61378/4784298. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a) d)) 3. ==[ beta ]==> (^y.(((^z.a) d)((^z.a) d))) 4. ==[ alpha ]==> (^x.(((^y.a) d)((^z.a) d))) 5. ==[ beta ]==> (^x.(a ((^z.a) d))) 6. ==[ alpha ]==> (^x.(a ((^y.a) d))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 61379/4784877. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 61380/4785471. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.z))) REDUCED to normal form. ------ 61381/4785660. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 61382/4785936. ------ 1. ==[ start ]==> ((^a.(b a))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (a (a a)))) 3. ==[ eta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 61383/4786281. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 61384/4786416. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61385/4786485. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61386/4786767. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61387/4786773. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 61388/4786776. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z (z z)))) REDUCED to normal form. ------ 61389/4786947. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 61390/4787109. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 61391/4787172. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 61392/4787280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61393/4787307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 61394/4787352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61395/4787361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 61396/4787375. ------ 1. ==[ start ]==> (^a.(^a.(^b.b))) 2. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61397/4787376. ------ 1. ==[ start ]==> (a (^a.(^b.b))) 2. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61398/4787391. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 61399/4787400. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61400/4787418. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 61401/4787445. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 61402/4787472. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 61403/4787481. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61404/4787508. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61405/4787535. ------ 1. ==[ start ]==> (((a a) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 61406/4787553. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 61407/4787562. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 61408/4787580. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 61409/4787589. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 61410/4787616. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 61411/4787670. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61412/4787715. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a) b)) 3. ==[ beta ]==> ((^y.a)((b a) b)) 4. ==[ alpha ]==> ((^x.a)((b a) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 61413/4787751. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 61414/4787778. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 61415/4787805. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 61416/4787859. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 61417/4787949. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (b a))) 3. ==[ beta ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 61418/4787967. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61419/4787976. ------ 1. ==[ start ]==> ((a (a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 61420/4787985. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a)) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61421/4788219. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 61422/4788246. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(b a))) REDUCED to normal form. ------ 61423/4788336. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61424/4788363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 61425/4788426. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 61426/4788453. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a b))) 5. ==[ beta ]==> (a ((^y.(y y))(a b))) 6. ==[ alpha ]==> (a ((^x.(x x))(a b))) 7. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 61427/4788471. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 61428/4788480. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 61429/4788507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 61430/4788534. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 61431/4788552. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) a)) REDUCED to normal form. ------ 61432/4788849. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 61433/4789020. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 61434/4789047. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61435/4789092. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 61436/4789263. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61437/4789281. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 61438/4789362. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a)) b)) IRREDUCIBLE: cycle. ------ 61439/4789425. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 61440/4789452. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 61441/4789479. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 61442/4789533. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61443/4789632. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61444/4789659. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) d)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 61445/4789677. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 61446/4789704. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.y))) REDUCED to normal form. ------ 61447/4789731. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 61448/4789758. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 61449/4789785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 61450/4789830. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61451/4789875. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61452/4789902. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 61453/4789956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((^y.y) a)(^z.a)) 8. ==[ alpha ]==> (((^x.x) a)(^y.a)) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 61454/4790037. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 61455/4790046. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 61456/4790073. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 61457/4790100. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 61458/4790127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 61459/4790181. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 61460/4790208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61461/4790235. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 61462/4790253. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61463/4790325. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 61464/4790352. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 61465/4790379. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a ((a a) a))(a (^y.y))) 8. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 61466/4790406. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 61467/4790433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(a b))) 5. ==[ beta ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 61468/4790478. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(a a))) 3. ==[ beta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61469/4790577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61470/4790712. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 61471/4790721. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 61472/4790748. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 61473/4790775. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 61474/4790829. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 61475/4790964. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 61476/4790991. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 61477/4791018. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 61478/4791297. ------ 1. ==[ start ]==> ((a (b a))(c (a (a a)))) REDUCED to normal form. ------ 61479/4791387. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61480/4791531. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 61481/4791576. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b a)(a (^y.a))) 6. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 61482/4791603. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 61483/4791639. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61484/4791657. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 61485/4791666. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 61486/4791720. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 61487/4791747. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 61488/4791774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 61489/4791846. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 61490/4791864. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 61491/4791891. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 61492/4792125. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61493/4792134. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (a a)))) REDUCED to normal form. ------ 61494/4792143. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61495/4792305. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (b ((a a)(^x1.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 61496/4792413. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61497/4792440. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61498/4792449. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 61499/4792467. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 61500/4792521. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 61501/4792530. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 61502/4792557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61503/4792602. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61504/4792611. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 61505/4792638. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 61506/4792665. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 61507/4792710. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61508/4792719. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 61509/4792734. ------ 1. ==[ start ]==> ((^a.(^b.b)) a) 2. ==[ alpha ]==> ((^x.(^y.y)) a) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61510/4792736. ------ 1. ==[ start ]==> (^a.(a (^b.b))) 2. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 61511/4792737. ------ 1. ==[ start ]==> (a (a (^b.b))) 2. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 61512/4792740. ------ 1. ==[ start ]==> ((^a.a)(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61513/4793334. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.(^y2.y2))))(^z2.(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61514/4797492. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^x1.(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 61515/4798095. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61516/4798098. ------ 1. ==[ start ]==> ((a (^b.b)) a) 2. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 61517/4798104. ------ 1. ==[ start ]==> ((^a.a)(a (^b.b))) 2. ==[ alpha ]==> ((^x.x)(a (^y.y))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 61518/4798107. ------ 1. ==[ start ]==> ((a a)(^a.(^b.b))) 2. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61519/4798131. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61520/4798239. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^z.b)((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61521/4798395. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61522/4798404. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 61523/4798428. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61524/4798698. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(((^y.y)(^z.(^x1.(^y1.y1))))((^y.y)(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.(^x2.(^y2.y2))))((^z2.z2)(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.(^x2.(^y2.y2))))((^z2.z2)(^x3.(^y3.(^z3.z3)))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.(^z1.(^x2.x2))))((^y2.y2)(^z2.(^x3.(^y3.y3)))))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61525/4798701. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61526/4798710. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y (^z.(^x1.x1))))(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 9. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61527/4798923. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61528/4798998. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 61529/4799259. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 61530/4799481. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.a)(^z.(a a)))((^y.a)(^z.(a a))))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.a)(^y.(a a)))((^z.a)(^x1.(a a))))((^y1.a)(^z1.(a a)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.(a a))))((^y1.a)(^z1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(a a))))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 61531/4799994. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a b))) 3. ==[ beta ]==> (((^y.a)(a b)) b) 4. ==[ alpha ]==> (((^x.a)(a b)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 61532/4800381. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.((((a a) a)((^z.z) a))(((a a) a)((^z.z) a)))) 4. ==[ alpha ]==> (^x.((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 5. ==[ beta ]==> (^x.((((a a) a) a)(((a a) a)((^z.z) a)))) 6. ==[ alpha ]==> (^x.((((a a) a) a)(((a a) a)((^y.y) a)))) 7. ==[ beta ]==> (^x.((((a a) a) a)(((a a) a) a))) REDUCED to normal form. ------ 61533/4800588. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(a (^x1.x1)))((^z.b)(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(a (^z.z)))((^x1.b)(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.b)(a (^z.z)))((^x1.b)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1)))) 7. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 61534/4800978. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 61535/4801185. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 61536/4801263. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) a)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) a)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61537/4801914. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((a a) a))) REDUCED to normal form. ------ 61538/4802019. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(z z)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61539/4802364. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61540/4802568. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61541/4802643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61542/4802751. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 61543/4802856. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.x1)(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61544/4802859. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 61545/4802868. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61546/4802949. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 61547/4803138. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61548/4803192. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 61549/4803255. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 61550/4803327. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 61551/4803363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 61552/4803390. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 61553/4803435. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61554/4803444. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.a)) REDUCED to normal form. ------ 61555/4803459. ------ 1. ==[ start ]==> ((^a.(^b.b))(a a)) 2. ==[ alpha ]==> ((^x.(^y.y))(a a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61556/4803462. ------ 1. ==[ start ]==> ((a (^b.b))(^a.a)) 2. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 61557/4803474. ------ 1. ==[ start ]==> ((a a)(a (^b.b))) 2. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 61558/4803492. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 61559/4803501. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 61560/4803519. ------ 1. ==[ start ]==> (((a a) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 61561/4803546. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 61562/4803573. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 61563/4803582. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 61564/4803600. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 61565/4803609. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 61566/4803627. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 61567/4803654. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.b)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 61568/4803681. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 61569/4803744. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 61570/4803762. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61571/4803771. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 61572/4803798. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 61573/4803843. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y)) c)) REDUCED to normal form. ------ 61574/4803987. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 61575/4804014. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 61576/4804068. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61577/4804077. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(x x))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 61578/4804104. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 61579/4804140. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 61580/4804158. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 61581/4804185. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a b)(a (a a)))) REDUCED to normal form. ------ 61582/4804212. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 61583/4804266. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 61584/4804293. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 61585/4804365. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61586/4804383. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(^y.y))) 3. ==[ beta ]==> ((b b)((b a)(^y.y))) 4. ==[ alpha ]==> ((b b)((b a)(^x.x))) REDUCED to normal form. ------ 61587/4804518. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a)) b)(^y.a)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 61588/4804545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.b))) 5. ==[ beta ]==> (a ((a (a a))(^y.b))) 6. ==[ alpha ]==> (a ((a (a a))(^x.b))) REDUCED to normal form. ------ 61589/4804572. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 61590/4804653. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 61591/4804680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 61592/4804716. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 61593/4804743. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 61594/4804797. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 61595/4804824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 7. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 61596/4804851. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 61597/4804887. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 61598/4804941. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (a (((a a)(^z.z))(a a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 61599/4804977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) c)) 5. ==[ beta ]==> (b ((^y.(a a)) c)) 6. ==[ alpha ]==> (b ((^x.(a a)) c)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61600/4805022. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 61601/4805049. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61602/4805103. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a b))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(a b))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 9. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 61603/4805229. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 61604/4805256. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 61605/4805310. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 61606/4805337. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 61607/4805355. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 61608/4805364. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a b))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 61609/4805643. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (a a))) REDUCED to normal form. ------ 61610/4805679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61611/4805706. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 61612/4805724. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(a (^y.y)))) 3. ==[ beta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 61613/4805733. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b) c)) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 61614/4805751. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 61615/4805877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.(a a)))) 7. ==[ beta ]==> (a (b (^y.(a a)))) 8. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 61616/4805922. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 61617/4805931. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 61618/4805958. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 61619/4806138. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a b) b)((a a) a)) REDUCED to normal form. ------ 61620/4806165. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b) b)) 3. ==[ beta ]==> (((a a) a)((a b) b)) REDUCED to normal form. ------ 61621/4806192. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 61622/4806345. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (b (a ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 61623/4806354. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 61624/4806381. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 61625/4806525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.b))) 5. ==[ beta ]==> ((a (a a))(b (^y.b))) 6. ==[ alpha ]==> ((a (a a))(b (^x.b))) REDUCED to normal form. ------ 61626/4806552. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 61627/4806570. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 61628/4806579. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 61629/4806633. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 61630/4806813. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b) c)((^y.y) c)) 4. ==[ alpha ]==> (((a b) c)((^x.x) c)) 5. ==[ beta ]==> (((a b) c) c) REDUCED to normal form. ------ 61631/4806912. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 61632/4806948. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 61633/4806966. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 61634/4807002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61635/4807047. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 61636/4807173. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 61637/4807200. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (a b))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (a b))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (a b))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 61638/4807227. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 61639/4807254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61640/4807281. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 61641/4807308. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 61642/4807335. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 61643/4807362. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 61644/4807389. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 61645/4807479. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61646/4807560. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 61647/4807623. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 61648/4807731. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 61649/4807758. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 61650/4807812. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 61651/4807830. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (b (c ((^y.y) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 61652/4807893. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 61653/4807938. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 61654/4807956. ------ 1. ==[ start ]==> (((a a)(b a))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.a))) REDUCED to normal form. ------ 61655/4807983. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 61656/4808010. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 61657/4808037. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(a a))) REDUCED to normal form. ------ 61658/4808064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 61659/4808091. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 61660/4808118. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (a a))) REDUCED to normal form. ------ 61661/4808145. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 61662/4808172. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 61663/4808226. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 61664/4808235. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61665/4808316. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a a)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 61666/4808397. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 61667/4808505. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61668/4808514. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 61669/4808532. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 61670/4808541. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 61671/4808559. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 61672/4808613. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b b)) 7. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 61673/4808622. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 61674/4808649. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.b)((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.b)((a (^y.y)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61675/4808694. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (b (a (a (^x1.x1)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 61676/4808703. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61677/4808730. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 61678/4808757. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 61679/4808802. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61680/4808811. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 61681/4808826. ------ 1. ==[ start ]==> ((^a.(^b.b)) b) 2. ==[ alpha ]==> ((^x.(^y.y)) b) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61682/4808829. ------ 1. ==[ start ]==> ((a (^b.b))(a a)) 2. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 61683/4808850. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61684/4814196. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61685/4814199. ------ 1. ==[ start ]==> ((a (^b.b)) b) 2. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 61686/4814223. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61687/4814226. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 61688/4814241. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 61689/4814268. ------ 1. ==[ start ]==> ((^a.b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 61690/4814349. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61691/4814466. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 61692/4814538. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1))) a)) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 61693/4814709. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 61694/4814820. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61695/4815159. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61696/4815387. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z a))) REDUCED to normal form. ------ 61697/4816104. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)(^z.b)) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b)) b) 5. ==[ beta ]==> ((a (^y.b)) b) 6. ==[ alpha ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 61698/4816422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61699/4816698. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 61700/4816872. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 61701/4817088. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 61702/4817097. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 61703/4817373. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.a))(((^z.z)(^x1.x1))(^y1.a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a)))(^z1.z1)) 7. ==[ beta ]==> (((^y.a)(((^z.z)(^x1.x1))(^y1.a)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.a)(((^y.y)(^z.z))(^x1.a)))(^y1.y1)) 9. ==[ beta ]==> (a (^y1.y1)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 61704/4817691. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y b))) REDUCED to normal form. ------ 61705/4818492. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 61706/4818636. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 61707/4818861. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 61708/4818978. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61709/4819248. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61710/4819257. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 61711/4819392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.c)) 5. ==[ beta ]==> ((^y.b)(^z.c)) 6. ==[ alpha ]==> ((^x.b)(^y.c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61712/4819437. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61713/4819446. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 61714/4819545. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61715/4819554. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 x1))) REDUCED to normal form. ------ 61716/4819569. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61717/4819572. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 61718/4819602. ------ 1. ==[ start ]==> ((a (^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 61719/4819620. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 61720/4819629. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61721/4819647. ------ 1. ==[ start ]==> ((a b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 61722/4819701. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 61723/4819728. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 61724/4819737. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61725/4819791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 61726/4819818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 61727/4819845. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 61728/4819890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61729/4819917. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 61730/4819926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 61731/4820007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 61732/4820034. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61733/4820088. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 61734/4820178. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (b a))) 3. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 61735/4820196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61736/4820259. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 61737/4820286. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) a)((a a) a)) REDUCED to normal form. ------ 61738/4820313. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 61739/4820340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.z))) REDUCED to normal form. ------ 61740/4820367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 61741/4820394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 61742/4820511. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.x))) REDUCED to normal form. ------ 61743/4820538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 61744/4820547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61745/4820574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61746/4820682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 7. ==[ beta ]==> ((^y.(y y))(a b)) 8. ==[ alpha ]==> ((^x.(x x))(a b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 61747/4820709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61748/4820763. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 61749/4821006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61750/4821096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (b ((a a)(a (^y.y)))) 8. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 61751/4821123. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) a)((a b) a)) REDUCED to normal form. ------ 61752/4821177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 61753/4821204. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 61754/4821231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a b))) REDUCED to normal form. ------ 61755/4821258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61756/4821285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 61757/4821321. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 61758/4821348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 61759/4821375. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 61760/4821402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 61761/4821429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 61762/4821483. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((a (a b))(a (^y.b))) 4. ==[ alpha ]==> ((a (a b))(a (^x.b))) REDUCED to normal form. ------ 61763/4821492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 61764/4821654. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61765/4821681. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 61766/4821744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 61767/4821762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 61768/4821771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 61769/4821798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.a)(a ((a a)(^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61770/4821825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 61771/4821852. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 61772/4821888. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(a b))((^x.a) d)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 61773/4822050. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 61774/4822077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 61775/4822086. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61776/4822113. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61777/4822167. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61778/4822248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61779/4822302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 61780/4822329. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61781/4822383. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 13. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 14. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61782/4822446. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (a b))) REDUCED to normal form. ------ 61783/4822464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 61784/4822473. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 61785/4822500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 61786/4822698. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 61787/4822725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 61788/4822752. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.a)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 61789/4822788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 61790/4822923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61791/4823004. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 61792/4823040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b ((a a) a))) REDUCED to normal form. ------ 61793/4823067. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (a b))) 3. ==[ beta ]==> ((a (^y.b))(a (a b))) 4. ==[ alpha ]==> ((a (^x.b))(a (a b))) REDUCED to normal form. ------ 61794/4823121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61795/4823148. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 61796/4823175. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 61797/4823202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 61798/4823229. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 61799/4823265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 61800/4823292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 61801/4823319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 61802/4823346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 61803/4823373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 61804/4823427. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a) a)) 3. ==[ beta ]==> (((a b) a)(((a a) a) a)) REDUCED to normal form. ------ 61805/4823454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) b)) 7. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 61806/4823679. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 61807/4823787. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 61808/4823814. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61809/4823868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 61810/4823949. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61811/4823958. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(c a)) REDUCED to normal form. ------ 61812/4823985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (a (a a)))) REDUCED to normal form. ------ 61813/4824012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 61814/4824075. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) c)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 61815/4824156. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 61816/4824183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 61817/4824210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 61818/4824237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 61819/4824264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a)) a)) 5. ==[ beta ]==> (((a a) a)((a (a a)) a)) REDUCED to normal form. ------ 61820/4824291. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 61821/4824336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61822/4824354. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61823/4824435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.a))) 5. ==[ beta ]==> ((a a)(b (^z.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 61824/4824516. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61825/4824624. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61826/4824633. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 61827/4824660. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 61828/4824678. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 61829/4824732. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 61830/4824741. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b b)) REDUCED to normal form. ------ 61831/4824768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(a c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a c)) 5. ==[ beta ]==> ((^y.b)(a c)) 6. ==[ alpha ]==> ((^x.b)(a c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61832/4824813. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 61833/4824822. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 61834/4824849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 61835/4824876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 61836/4824921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61837/4824930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 61838/4824945. ------ 1. ==[ start ]==> ((^a.(^b.b)) c) 2. ==[ alpha ]==> ((^x.(^y.y)) c) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61839/4824948. ------ 1. ==[ start ]==> ((a (^b.b))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 61840/4824965. ------ 1. ==[ start ]==> (^a.((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x x)(x (^y.(^z.z))))) REDUCED to normal form. ------ 61841/4824966. ------ 1. ==[ start ]==> (a ((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 61842/4830324. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61843/4830327. ------ 1. ==[ start ]==> ((a (^b.b)) c) 2. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 61844/4830345. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 61845/4830351. ------ 1. ==[ start ]==> ((^a.a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 61846/4830372. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 61847/4830441. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61848/4830603. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 61849/4830945. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (b a))) 3. ==[ beta ]==> ((b (b a))((b (b a))(b (b a)))) REDUCED to normal form. ------ 61850/4831263. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61851/4831533. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 61852/4832559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61853/4832628. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b) c)) 3. ==[ beta ]==> (^y.(((^z.b) c)((^z.b) c))) 4. ==[ alpha ]==> (^x.(((^y.b) c)((^z.b) c))) 5. ==[ beta ]==> (^x.(b ((^z.b) c))) 6. ==[ alpha ]==> (^x.(b ((^y.b) c))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 61854/4832802. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61855/4833009. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 61856/4833018. ------ 1. ==[ start ]==> (((a b) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 61857/4833234. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 61858/4833450. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 61859/4833828. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 61860/4834503. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 61861/4834629. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 61862/4834638. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 61863/4834773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 61864/4834815. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 61865/4835103. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((b ((^x1.x1) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 61866/4835394. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.a))) REDUCED to normal form. ------ 61867/4835529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61868/4835574. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 61869/4835583. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 61870/4835637. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 61871/4835691. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 61872/4835706. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61873/4835709. ------ 1. ==[ start ]==> ((a (^b.b))(^b.a)) 2. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 61874/4835727. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 61875/4835739. ------ 1. ==[ start ]==> ((a a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 61876/4835757. ------ 1. ==[ start ]==> (((^a.a) a)(a (^b.b))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 61877/4835775. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61878/4835784. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 61879/4835802. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 61880/4835829. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 61881/4835838. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 61882/4835865. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61883/4835883. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61884/4835892. ------ 1. ==[ start ]==> (((a a) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 61885/4835937. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 61886/4835946. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61887/4835964. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 61888/4835973. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 61889/4835991. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 61890/4836027. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61891/4836072. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 61892/4836099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 61893/4836162. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 61894/4836189. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 61895/4836333. ------ 1. ==[ start ]==> ((a (a (a a)))(b (b a))) REDUCED to normal form. ------ 61896/4836369. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 61897/4836576. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 61898/4836603. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 61899/4836630. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 61900/4836648. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 61901/4836693. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61902/4836720. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 61903/4836774. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 61904/4836783. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 61905/4836810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 61906/4836828. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 61907/4836837. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 61908/4836855. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 61909/4836864. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 61910/4836891. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 61911/4836918. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 61912/4837431. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 61913/4837620. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 61914/4837638. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 61915/4837719. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) a)) IRREDUCIBLE: cycle. ------ 61916/4837782. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 61917/4837809. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 61918/4837836. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 61919/4837890. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 61920/4837917. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 61921/4837944. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 61922/4837989. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 61923/4838016. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 61924/4838034. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))(((a a) a) a)) REDUCED to normal form. ------ 61925/4838061. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 61926/4838088. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a (a a))(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 61927/4838115. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 61928/4838142. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(a b))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a b))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a b))) 7. ==[ beta ]==> (a ((a (^y.y))(a b))) 8. ==[ alpha ]==> (a ((a (^x.x))(a b))) REDUCED to normal form. ------ 61929/4838169. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 61930/4838187. ------ 1. ==[ start ]==> (((^a.b) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 61931/4838232. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61932/4838259. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 61933/4838313. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 61934/4838394. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 61935/4838403. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 61936/4838430. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 61937/4838448. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(a a))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((a b) b)) 5. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 61938/4838457. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 61939/4838475. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 61940/4838484. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 61941/4838538. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61942/4838565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((^y.a)(^z.a))((^y.a)(^z.a))) 8. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.a))) 9. ==[ beta ]==> (a ((^z.a)(^x1.a))) 10. ==[ alpha ]==> (a ((^x.a)(^y.a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 61943/4838592. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 61944/4838619. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 61945/4838682. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 61946/4838709. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 61947/4838736. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 61948/4838763. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 61949/4838790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((a a) a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 61950/4838817. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(a b))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a b))) REDUCED to normal form. ------ 61951/4838835. ------ 1. ==[ start ]==> (((^a.b) c)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 61952/4838934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 61953/4839069. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 61954/4839078. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 61955/4839105. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 61956/4839132. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 61957/4839186. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 61958/4839213. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.b))(^z.b)) 6. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 61959/4839231. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 61960/4839375. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 61961/4839744. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) a)) 5. ==[ beta ]==> (b ((^z.a) a)) 6. ==[ alpha ]==> (b ((^x.a) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 61962/4839888. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 61963/4839933. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 61964/4839960. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 61965/4839996. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61966/4840014. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 61967/4840023. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 61968/4840077. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 61969/4840095. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (b (((^y.y) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 61970/4840104. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 61971/4840131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 61972/4840158. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 61973/4840203. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 61974/4840221. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(b a))(a (a (^x.x)))) REDUCED to normal form. ------ 61975/4840248. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 61976/4840275. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 61977/4840482. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61978/4840491. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 61979/4840581. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 61980/4840662. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 61981/4840779. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 61982/4840797. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 61983/4840824. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61984/4840878. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 61985/4840887. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 61986/4840914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 61987/4840959. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 61988/4840968. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 61989/4840995. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 61990/4841022. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 61991/4841067. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61992/4841076. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 61993/4841094. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 61994/4841112. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 61995/4841120. ------ 1. ==[ start ]==> (^a.(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 61996/4841121. ------ 1. ==[ start ]==> (a (b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 61997/4841151. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 61998/4841448. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 61999/4842834. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62000/4846479. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62001/4846500. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 62002/4846515. ------ 1. ==[ start ]==> ((^a.a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62003/4846524. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62004/4846542. ------ 1. ==[ start ]==> ((^a.(a a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 62005/4846545. ------ 1. ==[ start ]==> ((a (a a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 62006/4846569. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62007/4846650. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^z.(a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(a (a a)))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 62008/4846839. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 62009/4846842. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 62010/4847148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 62011/4847334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62012/4847436. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 62013/4847892. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((^y.(y y))(^z.b))((^y.(y y))(^z.b)))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.b))((^z.(z z))(^x1.b)))((^y1.(y1 y1))(^z1.b))) 5. ==[ beta ]==> ((((^y.b)(^y.b))((^z.(z z))(^x1.b)))((^y1.(y1 y1))(^z1.b))) 6. ==[ alpha ]==> ((((^x.b)(^y.b))((^z.(z z))(^x1.b)))((^y1.(y1 y1))(^z1.b))) 7. ==[ beta ]==> ((b ((^z.(z z))(^x1.b)))((^y1.(y1 y1))(^z1.b))) 8. ==[ alpha ]==> ((b ((^x.(x x))(^y.b)))((^z.(z z))(^x1.b))) 9. ==[ beta ]==> ((b ((^y.b)(^y.b)))((^z.(z z))(^x1.b))) 10. ==[ alpha ]==> ((b ((^x.b)(^y.b)))((^z.(z z))(^x1.b))) 11. ==[ beta ]==> ((b b)((^z.(z z))(^x1.b))) 12. ==[ alpha ]==> ((b b)((^x.(x x))(^y.b))) 13. ==[ beta ]==> ((b b)((^y.b)(^y.b))) 14. ==[ alpha ]==> ((b b)((^x.b)(^y.b))) 15. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 62014/4847985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))(^y.a)) b) 4. ==[ beta ]==> (((^y.a)(^y.a)) b) 5. ==[ alpha ]==> (((^x.a)(^y.a)) b) 6. ==[ beta ]==> (a b) REDUCED to normal form. ------ 62015/4848225. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62016/4848228. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 62017/4848405. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))((a a) a)) b) 4. ==[ alpha ]==> (((^x.(x x))((a a) a)) b) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 62018/4848792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.(((a b)(a (^z.z)))((a b)(a (^z.z))))) 4. ==[ alpha ]==> (^x.(((a b)(a (^y.y)))((a b)(a (^z.z))))) REDUCED to normal form. ------ 62019/4848975. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62020/4848999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(a a))((^z.(a a))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(a a))((^z.(a a))(a a)))) 5. ==[ beta ]==> (((^y.(a a))(a a))((^z.(a a))(a a))) 6. ==[ alpha ]==> (((^x.(a a))(a a))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62021/4849182. ------ 1. ==[ start ]==> (((a b) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 62022/4849623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 62023/4850010. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(y b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x b))) REDUCED to normal form. ------ 62024/4850190. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 62025/4850352. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a b) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a b) a)(^x.((a a) a))) REDUCED to normal form. ------ 62026/4850430. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.a))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62027/4850523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((z z) z))) 5. ==[ beta ]==> (b (^z.((z z) z))) 6. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 62028/4850802. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 62029/4850979. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62030/4851081. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62031/4851189. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (a a)))) REDUCED to normal form. ------ 62032/4851267. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62033/4851576. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62034/4851693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62035/4851747. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 62036/4851801. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 62037/4851846. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62038/4851870. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62039/4851873. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 62040/4851891. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 62041/4851912. ------ 1. ==[ start ]==> ((a a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62042/4851921. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 62043/4851939. ------ 1. ==[ start ]==> ((a (a a))(a (^b.b))) 2. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 62044/4851957. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 62045/4851966. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62046/4851984. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 62047/4852011. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 62048/4852038. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 62049/4852047. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 62050/4852065. ------ 1. ==[ start ]==> (((a a) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 62051/4852119. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 62052/4852146. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 62053/4852182. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 62054/4852209. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 62055/4852236. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 62056/4852281. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a) b)) REDUCED to normal form. ------ 62057/4852425. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 62058/4852452. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 62059/4852479. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 62060/4852515. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (b a))) 3. ==[ beta ]==> ((^y.(y y))(b (b a))) 4. ==[ alpha ]==> ((^x.(x x))(b (b a))) 5. ==[ beta ]==> ((b (b a))(b (b a))) REDUCED to normal form. ------ 62061/4852542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 62062/4852596. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 62063/4852623. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 62064/4852650. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 62065/4852704. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 62066/4852731. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 62067/4852830. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62068/4852956. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 62069/4853010. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 62070/4853037. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(a a)))) REDUCED to normal form. ------ 62071/4853064. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 62072/4853118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) a)) 5. ==[ beta ]==> ((^y.y)((b a) a)) 6. ==[ alpha ]==> ((^x.x)((b a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 62073/4853181. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 62074/4853208. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 62075/4853262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 62076/4853289. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 62077/4853325. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(a a)))) 5. ==[ beta ]==> (c ((^y.y)(a a))) 6. ==[ alpha ]==> (c ((^x.x)(a a))) 7. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 62078/4853379. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (b a))) 5. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 62079/4853415. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (b ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62080/4853442. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) c)) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 62081/4853460. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)((a b)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 62082/4853487. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 62083/4853541. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((a a) a))) 7. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 62084/4853622. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 62085/4853694. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 62086/4853721. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 62087/4853775. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 62088/4853793. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 62089/4853802. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((a (a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 62090/4853955. ------ 1. ==[ start ]==> ((((a a) a) b)((a b) c)) REDUCED to normal form. ------ 62091/4854162. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 62092/4854171. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 62093/4854189. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 62094/4854342. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 62095/4854369. ------ 1. ==[ start ]==> (((a b)(a a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 62096/4854396. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 62097/4854576. ------ 1. ==[ start ]==> (((a b) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 62098/4854603. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 62099/4854630. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b) b)) REDUCED to normal form. ------ 62100/4854657. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a) c)) REDUCED to normal form. ------ 62101/4854783. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 62102/4854819. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 62103/4854990. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.b))) REDUCED to normal form. ------ 62104/4855017. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 62105/4855044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 62106/4855251. ------ 1. ==[ start ]==> (((a b) c)(((a a) a) b)) REDUCED to normal form. ------ 62107/4855278. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)((^y.y) c)) 6. ==[ alpha ]==> (((a a) b)((^x.x) c)) 7. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 62108/4855404. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (a b))) REDUCED to normal form. ------ 62109/4855440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62110/4855467. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62111/4855485. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 62112/4855584. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 62113/4855638. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 62114/4855665. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 62115/4855692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 9. ==[ beta ]==> ((^y.a)(a (a a))) 10. ==[ alpha ]==> ((^x.a)(a (a a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 62116/4855719. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 62117/4855746. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 62118/4855800. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 62119/4855827. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 62120/4855917. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 62121/4855998. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 62122/4856169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 62123/4856196. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 62124/4856250. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 62125/4856277. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a c)) REDUCED to normal form. ------ 62126/4856376. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a a))) REDUCED to normal form. ------ 62127/4856448. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 62128/4856475. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 62129/4856502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 7. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 62130/4856529. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 62131/4856556. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 62132/4856583. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 62133/4856610. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 62134/4856664. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 62135/4856673. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62136/4856754. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 62137/4856835. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 62138/4856943. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62139/4856970. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 62140/4856979. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 62141/4856997. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 62142/4857060. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 62143/4857087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62144/4857132. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 62145/4857141. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 62146/4857168. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62147/4857195. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 62148/4857240. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62149/4857249. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a) a)) REDUCED to normal form. ------ 62150/4857267. ------ 1. ==[ start ]==> ((a (^b.b))(a (a a))) 2. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 62151/4857285. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 62152/4862661. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62153/4862715. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62154/4862745. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62155/4862760. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62156/4862841. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.z)(a a))(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.(y y)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62157/4862958. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (^x.(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (^x.(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (^x.((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 62158/4863030. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62159/4863042. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 62160/4863339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 62161/4863618. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(b a))) 3. ==[ beta ]==> ((b b)(^y.(b a))) 4. ==[ alpha ]==> ((b b)(^x.(b a))) REDUCED to normal form. ------ 62162/4863651. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62163/4864416. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62164/4864596. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(^y.a)) b) 4. ==[ alpha ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 62165/4864689. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 62166/4864941. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 62167/4865157. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 62168/4865190. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(^x1.x1))(((^z.z)(a a))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.z))(((^x1.x1)(a a))(^y1.y1))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 7. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 62169/4865616. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 62170/4865805. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(a b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 62171/4865865. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((a a) a)(^z.(^x1.x1)))(((a a) a)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 62172/4866201. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 62173/4866543. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 62174/4866621. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((a (a a)) c)) 3. ==[ eta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 62175/4866714. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> (b (^z.(^x1.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 62176/4866858. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 62177/4867767. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 62178/4867776. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 62179/4867848. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 62180/4867965. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 62181/4867992. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 62182/4868037. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62183/4868046. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.b)) REDUCED to normal form. ------ 62184/4868061. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62185/4868064. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62186/4868082. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 62187/4868121. ------ 1. ==[ start ]==> ((a (^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 62188/4868130. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (a ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (a ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 62189/4868148. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 62190/4868166. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 62191/4868175. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 62192/4868220. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 62193/4868247. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 62194/4868256. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62195/4868283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62196/4868337. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62197/4868364. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 62198/4868436. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62199/4868445. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 62200/4868472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.y2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62201/4868553. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62202/4868742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62203/4868778. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(a a))) 3. ==[ beta ]==> ((a b)((b a)(a a))) REDUCED to normal form. ------ 62204/4868805. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 62205/4868832. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 62206/4868859. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(a (a a)))) REDUCED to normal form. ------ 62207/4868886. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 62208/4868913. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 62209/4869021. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(b a))) 3. ==[ beta ]==> ((b b)((a a)(b a))) REDUCED to normal form. ------ 62210/4869057. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 62211/4869147. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 7. ==[ beta ]==> ((^y.b)(a (a a))) 8. ==[ alpha ]==> ((^x.b)(a (a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 62212/4869201. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62213/4869228. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 62214/4869282. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 62215/4869354. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 62216/4869525. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62217/4869615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 62218/4869642. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 62219/4869696. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 62220/4869723. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 10. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62221/4869750. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 62222/4869777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62223/4869804. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 62224/4869822. ------ 1. ==[ start ]==> ((a (^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 62225/4869867. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 62226/4869894. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 62227/4869921. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.a))) REDUCED to normal form. ------ 62228/4869948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 62229/4869975. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 62230/4870002. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 62231/4870011. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 62232/4870092. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 62233/4870173. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 62234/4870200. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 62235/4870227. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62236/4870281. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 62237/4870317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)(b ((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62238/4870344. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 62239/4870371. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 62240/4870407. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.b) c)) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 62241/4870560. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 62242/4870596. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 62243/4870605. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62244/4870632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62245/4870686. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62246/4870767. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62247/4870821. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62248/4870848. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62249/4870902. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62250/4870965. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 62251/4870983. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62252/4870992. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 62253/4871019. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 62254/4871055. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 62255/4871082. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 62256/4871208. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(a b))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 62257/4871244. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 62258/4871271. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 62259/4871307. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62260/4871442. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 62261/4871523. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 62262/4871550. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62263/4871559. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(c (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.z))) REDUCED to normal form. ------ 62264/4871586. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(b ((a a) a))) REDUCED to normal form. ------ 62265/4871604. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.b)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.b)) REDUCED to normal form. ------ 62266/4871640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62267/4871667. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 62268/4871694. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 62269/4871721. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 62270/4871748. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 62271/4871811. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 62272/4871838. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 62273/4871865. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(^x.a))) REDUCED to normal form. ------ 62274/4871892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 9. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 10. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 11. ==[ beta ]==> (a (^y.(y y))) 12. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 62275/4871919. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 62276/4871946. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.a))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 62277/4871973. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 62278/4872000. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 62279/4872027. ------ 1. ==[ start ]==> ((a (b a))((a (a a)) c)) REDUCED to normal form. ------ 62280/4872117. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> (b ((^z.z)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 62281/4872261. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 62282/4872306. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 62283/4872333. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 62284/4872369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c d)) 3. ==[ beta ]==> ((a (^y.(a a)))(c d)) 4. ==[ alpha ]==> ((a (^x.(a a)))(c d)) REDUCED to normal form. ------ 62285/4872387. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 62286/4872468. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62287/4872504. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))(c ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))(c a)) REDUCED to normal form. ------ 62288/4872531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a (a a)))) REDUCED to normal form. ------ 62289/4872594. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a a)(b a))(b b)) REDUCED to normal form. ------ 62290/4872621. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 62291/4872702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 62292/4872729. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 62293/4872756. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 62294/4872783. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 62295/4872810. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 62296/4872873. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62297/4872954. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 62298/4873035. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (b ((^x1.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62299/4873143. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62300/4873152. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (a (^z.z)))) REDUCED to normal form. ------ 62301/4873170. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 62302/4873179. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 62303/4873197. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.z))) 3. ==[ beta ]==> ((^y.y)(c (^z.z))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 62304/4873251. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.a))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.a))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.a))) REDUCED to normal form. ------ 62305/4873260. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c a)) REDUCED to normal form. ------ 62306/4873287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b b)) 5. ==[ beta ]==> ((^y.b)(b b)) 6. ==[ alpha ]==> ((^x.b)(b b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62307/4873332. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62308/4873341. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 62309/4873368. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 62310/4873395. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 62311/4873440. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62312/4873449. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a b)) REDUCED to normal form. ------ 62313/4873467. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 62314/4873485. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 62315/4873511. ------ 1. ==[ start ]==> (^a.((a (^a.a))(b a))) 2. ==[ alpha ]==> (^x.((x (^y.y))(b x))) REDUCED to normal form. ------ 62316/4873512. ------ 1. ==[ start ]==> (a ((a (^a.a))(b a))) 2. ==[ alpha ]==> (a ((a (^x.x))(b a))) REDUCED to normal form. ------ 62317/4878870. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.a)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62318/4878918. ------ 1. ==[ start ]==> (((a (^a.a))(b a)) a) 2. ==[ alpha ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 62319/4878924. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 3. ==[ beta ]==> ((a (^y.y))(b a)) 4. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 62320/4878951. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (^y.(^z.z))))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 62321/4878972. ------ 1. ==[ start ]==> (((a a) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 62322/4879014. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62323/4879176. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (^y.((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 62324/4879260. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 62325/4880133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z a))) 5. ==[ beta ]==> ((^y.y)(^z.(z a))) 6. ==[ alpha ]==> ((^x.x)(^y.(y a))) 7. ==[ beta ]==> (^y.(y a)) 8. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 62326/4881159. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 62327/4881201. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.(((^z.(a a)) b)((^z.(a a)) b))) 4. ==[ alpha ]==> (^x.(((^y.(a a)) b)((^z.(a a)) b))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a)) b))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a)) b))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 62328/4881384. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 62329/4881618. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 62330/4881834. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 62331/4882023. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 62332/4882032. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a b))) REDUCED to normal form. ------ 62333/4883388. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62334/4883490. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 62335/4883994. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 62336/4884066. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.c)) 7. ==[ beta ]==> (((a a)(a a))(^y.c)) 8. ==[ alpha ]==> (((a a)(a a))(^x.c)) REDUCED to normal form. ------ 62337/4884075. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 62338/4884183. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 62339/4884264. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a a))) REDUCED to normal form. ------ 62340/4884279. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62341/4884282. ------ 1. ==[ start ]==> ((a (^b.b))(^c.a)) 2. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 62342/4884300. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 62343/4884327. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 62344/4884339. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 62345/4884357. ------ 1. ==[ start ]==> (((^a.a) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (a (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62346/4884366. ------ 1. ==[ start ]==> ((a (a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 62347/4884384. ------ 1. ==[ start ]==> (((a a) a)(a (^b.b))) 2. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 62348/4884402. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 62349/4884411. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62350/4884429. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 62351/4884483. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62352/4884492. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 62353/4884510. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62354/4884519. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 62355/4884564. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62356/4884573. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 62357/4884591. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 62358/4884627. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62359/4884672. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 62360/4884699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 62361/4884708. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 62362/4884762. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 62363/4884789. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 62364/4884816. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 62365/4884924. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 62366/4885176. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 62367/4885203. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 62368/4885230. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 62369/4885257. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(b a))) REDUCED to normal form. ------ 62370/4885293. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62371/4885320. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62372/4885374. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 62373/4885383. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 62374/4885437. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62375/4885455. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 62376/4885464. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a b)(a b))) REDUCED to normal form. ------ 62377/4885491. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 62378/4885518. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62379/4885545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62380/4885887. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) c)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 62381/4886067. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 62382/4886220. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62383/4886238. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 62384/4886382. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 62385/4886400. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 62386/4886409. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 62387/4886436. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 62388/4886490. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 62389/4886517. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 62390/4886544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62391/4886589. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62392/4886616. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 62393/4886634. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(a (^x.x)))) REDUCED to normal form. ------ 62394/4886661. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 62395/4886688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 9. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 62396/4886715. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 62397/4886742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (a (((^y.y) a)((a a) a))) 8. ==[ alpha ]==> (a (((^x.x) a)((a a) a))) 9. ==[ beta ]==> (a (a ((a a) a))) REDUCED to normal form. ------ 62398/4886769. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 62399/4886787. ------ 1. ==[ start ]==> (((^a.b) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 62400/4886796. ------ 1. ==[ start ]==> (((a b)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 62401/4886832. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62402/4886859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62403/4886913. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 9. ==[ beta ]==> ((^y.y)(^z.(z z))) 10. ==[ alpha ]==> ((^x.x)(^y.(y y))) 11. ==[ beta ]==> (^y.(y y)) 12. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 62404/4886994. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 62405/4887003. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 62406/4887030. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 62407/4887048. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 62408/4887057. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 62409/4887075. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 62410/4887084. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 62411/4887138. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62412/4887165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 11. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 12. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 13. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 14. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 15. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62413/4887192. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 62414/4887219. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62415/4887246. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 62416/4887282. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 62417/4887309. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 62418/4887336. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 8. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 9. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 62419/4887363. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 62420/4887390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a (a a))(a (^y.y))) 10. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 62421/4887417. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 62422/4887435. ------ 1. ==[ start ]==> (((^a.b) c)(b (^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 62423/4887444. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 62424/4887534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 62425/4887669. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 62426/4887678. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 62427/4887705. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 62428/4887732. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 62429/4887786. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 62430/4887813. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 62431/4887912. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62432/4888011. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 62433/4888425. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 62434/4888488. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 62435/4888533. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 62436/4888560. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 62437/4888596. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 62438/4888614. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 62439/4888623. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 62440/4888677. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62441/4888695. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 62442/4888704. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62443/4888731. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 62444/4888758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 62445/4888803. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 62446/4888821. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(a a))) REDUCED to normal form. ------ 62447/4888848. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 62448/4888875. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 62449/4888902. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 62450/4888983. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c c)) REDUCED to normal form. ------ 62451/4889082. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62452/4889181. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) b)) 5. ==[ beta ]==> ((a a)((^z.a) b)) 6. ==[ alpha ]==> ((a a)((^x.a) b)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 62453/4889262. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 62454/4889370. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62455/4889379. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 62456/4889406. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 62457/4889424. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62458/4889487. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 62459/4889514. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62460/4889559. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (b ((a (^x1.x1)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 62461/4889568. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62462/4889595. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 62463/4889622. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 62464/4889667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62465/4889676. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 62466/4889694. ------ 1. ==[ start ]==> ((a (^b.b))((a a) a)) 2. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 62467/4889712. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 62468/4889739. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 62469/4889805. ------ 1. ==[ start ]==> ((^a.b)(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62470/4890696. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62471/4894215. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62472/4895106. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62473/4895154. ------ 1. ==[ start ]==> (((a (^a.a))(b a)) b) 2. ==[ alpha ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 62474/4895178. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62475/4895196. ------ 1. ==[ start ]==> ((^a.(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b (^y.(^z.(^x1.x1))))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 62476/4895223. ------ 1. ==[ start ]==> ((^a.b)(a (^b.b))) 2. ==[ alpha ]==> ((^x.b)(a (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62477/4895226. ------ 1. ==[ start ]==> ((a b)(^a.(^b.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62478/4895493. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(b a))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62479/4895763. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))(((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 5. ==[ beta ]==> (a (((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (a ((^x1.a)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(^z.z))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 62480/4895988. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62481/4896114. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62482/4896117. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 62483/4896546. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))((^x2.(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))((^y1.(^z1.z1))(^x2.a))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62484/4896879. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62485/4897059. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62486/4897422. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 62487/4897446. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(a a))(((^z.z)(a a))(a a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 5. ==[ beta ]==> (^x.(((a a)(a a))(((^z.z)(a a))(a a)))) 6. ==[ alpha ]==> (^x.(((a a)(a a))(((^y.y)(a a))(a a)))) 7. ==[ beta ]==> (^x.(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 62488/4898304. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 62489/4898328. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((^z.b)(a a))((^z.b)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(a a))((^y.b)(a a)))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b)(a a)))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b)(a a)))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 62490/4898871. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.b))) REDUCED to normal form. ------ 62491/4899033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 62492/4899084. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62493/4899633. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62494/4899636. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 62495/4899762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62496/4899870. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 62497/4899921. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.a)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (a (^x1.(^y1.y1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 62498/4900257. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(b a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62499/4900320. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 62500/4900392. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 62501/4900524. ------ 1. ==[ start ]==> ((^a.(^b.b))(a b)) 2. ==[ alpha ]==> ((^x.(^y.y))(a b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62502/4900527. ------ 1. ==[ start ]==> ((a (^b.b))(^a.b)) 2. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 62503/4900545. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 62504/4900572. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 62505/4900602. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 62506/4900620. ------ 1. ==[ start ]==> ((a (a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62507/4900629. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 62508/4900647. ------ 1. ==[ start ]==> ((a b)(a (^b.b))) 2. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 62509/4900665. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 62510/4900692. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 62511/4900719. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 62512/4900746. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 62513/4900773. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 62514/4900827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 62515/4900863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 62516/4900881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 62517/4900890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 62518/4900917. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 62519/4900962. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 62520/4900989. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a) b)) 3. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 62521/4901016. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 62522/4901133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 62523/4901160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 62524/4901187. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 62525/4901223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 62526/4901259. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62527/4901277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 5. ==[ beta ]==> ((^y.y)((b a)(a a))) 6. ==[ alpha ]==> ((^x.x)((b a)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 62528/4901304. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 62529/4901331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 62530/4901385. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 62531/4901412. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 62532/4901538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 62533/4901637. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 62534/4901664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (a (((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 62535/4901691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 62536/4901718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 62537/4901745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 62538/4901889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62539/4901916. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 62540/4901970. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 62541/4902060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (a (b ((a a)(^z.z)))) 6. ==[ alpha ]==> (a (b ((a a)(^x.x)))) REDUCED to normal form. ------ 62542/4902141. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 62543/4902168. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 62544/4902222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 62545/4902303. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 62546/4902321. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 62547/4902402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 62548/4902429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 62549/4902474. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 62550/4902483. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 62551/4902636. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((((a a) a) b)((a a) b)) REDUCED to normal form. ------ 62552/4902663. ------ 1. ==[ start ]==> (((a b) a)((a b) c)) REDUCED to normal form. ------ 62553/4902843. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 62554/4902852. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 62555/4902870. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 62556/4903050. ------ 1. ==[ start ]==> (((a b)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 62557/4903257. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 62558/4903284. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 62559/4903311. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 62560/4903338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b) b)) REDUCED to normal form. ------ 62561/4903464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 62562/4903698. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.b))) REDUCED to normal form. ------ 62563/4903725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 62564/4903752. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 62565/4903932. ------ 1. ==[ start ]==> (((a b) c)((a b) a)) REDUCED to normal form. ------ 62566/4903959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a) b)) 3. ==[ beta ]==> (((a a) b)(((a a) a) b)) REDUCED to normal form. ------ 62567/4904085. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b ((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 62568/4904121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62569/4904166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 62570/4904175. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 62571/4904265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 62572/4904292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.b))) REDUCED to normal form. ------ 62573/4904319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(a a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(a a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 62574/4904346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 62575/4904373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 9. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 10. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 11. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 12. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 13. ==[ beta ]==> (a ((^y.y) a)) 14. ==[ alpha ]==> (a ((^x.x) a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62576/4904400. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 62577/4904427. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 62578/4904454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 62579/4904508. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 62580/4904598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (b (^y.y))) 8. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 62581/4904679. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 62582/4904850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 62583/4904868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c d)) 3. ==[ beta ]==> (((a b)(a b))(c d)) REDUCED to normal form. ------ 62584/4904877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 62585/4904931. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 62586/4904958. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a)) b)) REDUCED to normal form. ------ 62587/4904985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a) c)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a) c)) 5. ==[ beta ]==> (((a a)(^x.a))(a c)) REDUCED to normal form. ------ 62588/4905057. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 62589/4905156. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(x x)))) REDUCED to normal form. ------ 62590/4905183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 62591/4905210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 62592/4905237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 62593/4905264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 62594/4905291. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 62595/4905336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62596/4905345. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 62597/4905435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 62598/4905633. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z)) b)) REDUCED to normal form. ------ 62599/4905651. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 62600/4905678. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62601/4905732. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a (^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 62602/4905741. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) c) REDUCED to normal form. ------ 62603/4905768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62604/4905813. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 62605/4905822. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 62606/4905849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 62607/4905876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 62608/4905921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62609/4905930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.x1))) REDUCED to normal form. ------ 62610/4905948. ------ 1. ==[ start ]==> ((a (^b.b))(a b)) 2. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 62611/4905966. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 62612/4905993. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.y))) REDUCED to normal form. ------ 62613/4910478. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62614/4911369. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62615/4911417. ------ 1. ==[ start ]==> (((a (^a.a))(b a)) c) 2. ==[ alpha ]==> (((a (^x.x))(b a)) c) REDUCED to normal form. ------ 62616/4911507. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 62617/4911531. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62618/4911576. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^z.z))(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 62619/4911693. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62620/4911804. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 62621/4911936. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 62622/4912110. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 62623/4912398. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62624/4912947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) b) b) 4. ==[ beta ]==> (((^y.y) b) b) 5. ==[ alpha ]==> (((^x.x) b) b) 6. ==[ beta ]==> (b b) REDUCED to normal form. ------ 62625/4913151. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62626/4913331. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62627/4913694. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62628/4913703. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 62629/4913937. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62630/4914153. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 62631/4914600. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((((a b)(^z.z))((a b)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))(^z.z)) REDUCED to normal form. ------ 62632/4914774. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.a)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62633/4914972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62634/4915356. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z)) b)) 3. ==[ eta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 62635/4915638. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.y))) 3. ==[ beta ]==> ((b a)(^y.(^z.y))) 4. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 62636/4915905. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62637/4915908. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 62638/4916193. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((((^x1.x1) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 62639/4916367. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 62640/4916529. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 62641/4916592. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 62642/4916664. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 62643/4916673. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 62644/4916727. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 62645/4916772. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62646/4916796. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62647/4916799. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 62648/4916844. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 62649/4916892. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(b a))) 3. ==[ beta ]==> (a ((a (^y.y))(b a))) 4. ==[ alpha ]==> (a ((a (^x.x))(b a))) REDUCED to normal form. ------ 62650/4916910. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62651/4916919. ------ 1. ==[ start ]==> (((a a) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 62652/4916937. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 62653/4916964. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 62654/4916982. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 62655/4917009. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 62656/4917045. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62657/4917072. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 62658/4917126. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 62659/4917144. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 62660/4917207. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 62661/4917234. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 62662/4917369. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 62663/4917477. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62664/4917540. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 62665/4917567. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(a a))) REDUCED to normal form. ------ 62666/4917594. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 62667/4917621. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 62668/4917648. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 62669/4917675. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 62670/4917783. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 62671/4917828. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62672/4917909. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62673/4917990. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62674/4918044. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 62675/4918116. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 62676/4918143. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 62677/4918287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 62678/4918341. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 62679/4918377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (b a))) 3. ==[ beta ]==> (((^y.y) b)(a (b a))) 4. ==[ alpha ]==> (((^x.x) b)(a (b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 62680/4918404. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 62681/4918458. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 62682/4918485. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 62683/4918512. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 62684/4918539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62685/4918566. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a b))) REDUCED to normal form. ------ 62686/4918584. ------ 1. ==[ start ]==> ((a (^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(a a)))) REDUCED to normal form. ------ 62687/4918656. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 62688/4918683. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 62689/4918710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 62690/4918737. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 62691/4918764. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 62692/4918773. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 62693/4918854. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) IRREDUCIBLE: cycle. ------ 62694/4918935. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 62695/4918962. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 62696/4919079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (a b))) 5. ==[ beta ]==> ((^y.a)(c (a b))) 6. ==[ alpha ]==> ((^x.a)(c (a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62697/4919106. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 62698/4919124. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 62699/4919133. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 62700/4919169. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a)) b)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 62701/4919196. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 62702/4919322. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(a b))) 3. ==[ beta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 62703/4919367. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62704/4919394. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62705/4919448. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((^y.a)((^z.z) a)) 8. ==[ alpha ]==> ((^x.a)((^y.y) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 62706/4919529. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (b ((^x1.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62707/4919583. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62708/4919610. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62709/4919745. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62710/4919754. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 62711/4919781. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (a b))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a b))) REDUCED to normal form. ------ 62712/4919817. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 62713/4919844. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 62714/4919970. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (b ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 62715/4920033. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 62716/4920069. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62717/4920204. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> (b ((^z.z)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 62718/4920285. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 62719/4920312. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 62720/4920348. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(c (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(c (^y.y))) REDUCED to normal form. ------ 62721/4920402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62722/4920429. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 62723/4920456. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 62724/4920483. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 62725/4920510. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 62726/4920600. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 62727/4920627. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 62728/4920654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 7. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 9. ==[ beta ]==> ((a (a a))(^y.a)) 10. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 62729/4920681. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 62730/4920708. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 62731/4920762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a) a)) REDUCED to normal form. ------ 62732/4920789. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((a (b a))((^y.y) b)) 4. ==[ alpha ]==> ((a (b a))((^x.x) b)) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 62733/4920879. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62734/4921023. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 62735/4921068. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.a))) 3. ==[ beta ]==> ((b a)(a (^y.a))) 4. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 62736/4921095. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62737/4921149. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 62738/4921158. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c d)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c d)) REDUCED to normal form. ------ 62739/4921230. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62740/4921338. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 62741/4921356. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 62742/4921383. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(b b)) REDUCED to normal form. ------ 62743/4921410. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a) c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a) c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a) c)) 5. ==[ beta ]==> ((a (a a))((^y.a) c)) 6. ==[ alpha ]==> ((a (a a))((^x.a) c)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 62744/4921491. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 62745/4921518. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 62746/4921545. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 62747/4921572. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 62748/4921626. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 62749/4921635. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62750/4921797. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 62751/4921905. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62752/4921932. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62753/4921941. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (a (^x1.x1)))) REDUCED to normal form. ------ 62754/4921959. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 62755/4922013. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 62756/4922022. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 62757/4922049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(c a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c a)) 5. ==[ beta ]==> ((^y.b)(c a)) 6. ==[ alpha ]==> ((^x.b)(c a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62758/4922094. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 62759/4922103. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 62760/4922130. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 62761/4922157. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (a (^z.z)))) REDUCED to normal form. ------ 62762/4922202. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62763/4922211. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b a)) REDUCED to normal form. ------ 62764/4922229. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 62765/4922247. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 62766/4922274. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 62767/4922300. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((x x)(^z.z)))) 3. ==[ beta ]==> (^x.(x ((x x)(^z.z)))) 4. ==[ alpha ]==> (^x.(x ((x x)(^y.y)))) REDUCED to normal form. ------ 62768/4922301. ------ 1. ==[ start ]==> (a (((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (a (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 62769/4922358. ------ 1. ==[ start ]==> ((^a.b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62770/4927659. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62771/4927734. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y))) a) 3. ==[ beta ]==> ((a ((a a)(^y.y))) a) 4. ==[ alpha ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 62772/4927740. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 62773/4927767. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a (^y.y))(b a))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(b a))) REDUCED to normal form. ------ 62774/4927794. ------ 1. ==[ start ]==> ((^a.b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62775/4927797. ------ 1. ==[ start ]==> ((a b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 62776/4927815. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62777/4927830. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62778/4927992. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.b))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.b))) 7. ==[ beta ]==> (^x.(^z.b)) 8. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 62779/4928112. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 62780/4928409. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 62781/4928685. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62782/4930002. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 62783/4930017. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) a)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) a))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) a))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) a)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62784/4930224. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)((^z.z)(a a)))((a a)((^z.z)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 62785/4930461. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 62786/4930686. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 62787/4931073. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 62788/4931082. ------ 1. ==[ start ]==> (((a b) c)(^b.(a b))) 2. ==[ alpha ]==> (((a b) c)(^x.(a x))) 3. ==[ eta ]==> (((a b) c) a) REDUCED to normal form. ------ 62789/4931271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62790/4932081. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 62791/4932225. ------ 1. ==[ start ]==> (((a a)(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 62792/4932828. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62793/4932918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62794/4932963. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62795/4932972. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 62796/4933026. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 62797/4933071. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62798/4933080. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 62799/4933095. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62800/4933098. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62801/4933116. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 62802/4933143. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y y))) REDUCED to normal form. ------ 62803/4933170. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 62804/4933182. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 62805/4933209. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 62806/4933227. ------ 1. ==[ start ]==> (((a a) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62807/4933236. ------ 1. ==[ start ]==> ((a b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 62808/4933254. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 62809/4933272. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 62810/4933281. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 62811/4933326. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62812/4933335. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 62813/4933353. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 62814/4933362. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 62815/4933380. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 62816/4933389. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 62817/4933434. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.a))(^z.b)) 6. ==[ alpha ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 62818/4933470. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62819/4933542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62820/4933551. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 62821/4933578. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 62822/4933596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a) b)) 3. ==[ beta ]==> (((^y.y) a)((b a) b)) 4. ==[ alpha ]==> (((^x.x) a)((b a) b)) 5. ==[ beta ]==> (a ((b a) b)) REDUCED to normal form. ------ 62823/4933659. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 62824/4933767. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62825/4933848. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62826/4933866. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62827/4934019. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 62828/4934046. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a b))) REDUCED to normal form. ------ 62829/4934073. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 62830/4934091. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 62831/4934100. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 62832/4934127. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b a))) REDUCED to normal form. ------ 62833/4934163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 62834/4934217. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 62835/4934226. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 62836/4934253. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a (a a)))) 5. ==[ beta ]==> (a ((^y.b)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.b)(a (a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 62837/4934271. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 62838/4934280. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 62839/4934307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 62840/4934334. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.a))((a b)(a b))) REDUCED to normal form. ------ 62841/4934352. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 62842/4934361. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 62843/4934388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62844/4934757. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62845/4934910. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 62846/4934937. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 62847/4935063. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62848/4935081. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 62849/4935162. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 62850/4935225. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 62851/4935243. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (b (((^z.z)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 62852/4935252. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 62853/4935270. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((a b) c)) 3. ==[ beta ]==> ((a b)((a b) c)) REDUCED to normal form. ------ 62854/4935279. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 62855/4935333. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62856/4935387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62857/4935414. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62858/4935441. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 62859/4935459. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 62860/4935477. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 62861/4935504. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 62862/4935531. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 62863/4935558. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 62864/4935585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a ((a (a a))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (a ((a (a a))((^x.x)(^y.y)))) 9. ==[ beta ]==> (a ((a (a a))(^y.y))) 10. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 62865/4935612. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 62866/4935630. ------ 1. ==[ start ]==> (((^a.b) b)(c (^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 62867/4935639. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 62868/4935666. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 62869/4935702. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 62870/4935756. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 62871/4935837. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 62872/4935846. ------ 1. ==[ start ]==> (((a b) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 62873/4935873. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 62874/4935891. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 62875/4935900. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 62876/4935918. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 62877/4935927. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 62878/4935981. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 62879/4936008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62880/4936035. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 62881/4936062. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 62882/4936089. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 62883/4936125. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 62884/4936152. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(a a))) REDUCED to normal form. ------ 62885/4936179. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 62886/4936206. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a (a a))(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 62887/4936233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 62888/4936260. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 8. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 62889/4936278. ------ 1. ==[ start ]==> (((^a.b) c)(c (^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 62890/4936287. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 62891/4936314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 62892/4936377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 62893/4936512. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 62894/4936521. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a b))) 3. ==[ beta ]==> (((a b) c)(a b)) REDUCED to normal form. ------ 62895/4936548. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 62896/4936629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 62897/4936656. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 62898/4936710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62899/4936755. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62900/4936854. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 62901/4936881. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 62902/4937268. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 62903/4937331. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.(y y)))) REDUCED to normal form. ------ 62904/4937403. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62905/4937439. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 62906/4937457. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.a))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 62907/4937466. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 62908/4937520. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 62909/4937538. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62910/4937547. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62911/4937574. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 62912/4937601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 62913/4937664. ------ 1. ==[ start ]==> (((a a)(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.x))) REDUCED to normal form. ------ 62914/4937691. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 62915/4937718. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (a (^y.y)))) 8. ==[ alpha ]==> ((a (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 62916/4937745. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 62917/4937772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 62918/4937925. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62919/4937943. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62920/4938024. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a a)((^z.(z z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 62921/4938213. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62922/4938222. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 62923/4938240. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 62924/4938249. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 62925/4938267. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 62926/4938321. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) b)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 62927/4938330. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 62928/4938357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.a))) 5. ==[ beta ]==> ((^y.b)(a (^z.a))) 6. ==[ alpha ]==> ((^x.b)(a (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62929/4938402. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 62930/4938411. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 62931/4938438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 62932/4938465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 62933/4938510. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62934/4938519. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 62935/4938537. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 62936/4938555. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 62937/4938582. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 62938/4938609. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 62939/4940898. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.(((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))) 6. ==[ alpha ]==> (^x.(((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))) 7. ==[ beta ]==> (^x.((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))) 8. ==[ alpha ]==> (^x.((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))) 9. ==[ beta ]==> (^x.(((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))) 10. ==[ alpha ]==> (^x.(((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))) 11. ==[ beta ]==> (^x.((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))) 12. ==[ alpha ]==> (^x.((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))) 13. ==[ beta ]==> (^x.(((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))) 14. ==[ alpha ]==> (^x.(((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))) 15. ==[ beta ]==> (^x.((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))) 16. ==[ alpha ]==> (^x.((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))) 17. ==[ beta ]==> (^x.(((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))) 18. ==[ alpha ]==> (^x.(((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))) 19. ==[ beta ]==> (^x.((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))) 20. ==[ alpha ]==> (^x.((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))) 21. ==[ beta ]==> (^x.(((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))) 22. ==[ alpha ]==> (^x.(((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))) 23. ==[ beta ]==> (^x.((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))) 24. ==[ alpha ]==> (^x.((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))) 25. ==[ beta ]==> (^x.(((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))) 26. ==[ alpha ]==> (^x.(((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))) 27. ==[ beta ]==> (^x.((((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))) 28. ==[ alpha ]==> (^x.((((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))) 29. ==[ beta ]==> (^x.(((((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))) 30. ==[ alpha ]==> (^x.(((((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))) 31. ==[ beta ]==> (^x.((((((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))) 32. ==[ alpha ]==> (^x.((((((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))) 33. ==[ beta ]==> (^x.(((((((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))) 34. ==[ alpha ]==> (^x.(((((((((((((((((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))(^y6.y6))) 35. ==[ beta ]==> (^x.((((((((((((((((((^x1.((x1 x1)(^y1.y1)))(^x1.((x1 x1)(^y1.y1))))(^z.z))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))(^y6.y6))) UNREDUCED: maximal number of reductions reached. ------ 62940/4941780. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^z.(^x1.(z z)))(^z.(^x1.(z z))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(x x)))(^z.(^x1.(z z))))(^y1.y1)) 5. ==[ beta ]==> ((^y.((^z.(^x1.(z z)))(^z.(^x1.(z z)))))(^y1.y1)) 6. ==[ alpha ]==> ((^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))))(^z1.z1)) 7. ==[ beta ]==> ((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 9. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 10. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 11. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 12. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 13. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 62941/4944051. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y))) b) 3. ==[ beta ]==> ((a ((a a)(^y.y))) b) 4. ==[ alpha ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 62942/4944075. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62943/4944120. ------ 1. ==[ start ]==> ((^a.b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 62944/4944390. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 62945/4944438. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 62946/4944660. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(a a)))(((^y.(y y))(^z.(a a)))((^y.(y y))(^z.(a a))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.(z z))(^x1.(a a)))((^y1.(y1 y1))(^z1.(a a))))) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.(z z))(^x1.(a a)))((^y1.(y1 y1))(^z1.(a a))))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.(z z))(^x1.(a a)))((^y1.(y1 y1))(^z1.(a a))))) 7. ==[ beta ]==> ((a a)(((^z.(z z))(^x1.(a a)))((^y1.(y1 y1))(^z1.(a a))))) 8. ==[ alpha ]==> ((a a)(((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a))))) 9. ==[ beta ]==> ((a a)(((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))) 10. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))) 11. ==[ beta ]==> ((a a)((a a)((^z.(z z))(^x1.(a a))))) 12. ==[ alpha ]==> ((a a)((a a)((^x.(x x))(^y.(a a))))) 13. ==[ beta ]==> ((a a)((a a)((^y.(a a))(^y.(a a))))) 14. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.(a a))))) 15. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 62947/4944753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 62948/4944885. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62949/4945023. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62950/4945311. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 62951/4945776. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 62952/4945956. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(a (a a))) b) 4. ==[ alpha ]==> (((^x.a)(a (a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 62953/4946343. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((a ((a a)(^z.z)))(a ((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.((a ((a a)(^y.y)))(a ((a a)(^z.z))))) REDUCED to normal form. ------ 62954/4946346. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 62955/4946550. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(a a)))(b (^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(a a)))(b (^z.(a a))))) 5. ==[ beta ]==> ((b (^y.(a a)))(b (^z.(a a)))) 6. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 62956/4946562. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 62957/4946787. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 62958/4947012. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 62959/4947225. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (^z.(a a)))(a (^z.(a a))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))(^z.z)) REDUCED to normal form. ------ 62960/4947228. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 62961/4947408. ------ 1. ==[ start ]==> (((a b) c)(^c.(^a.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.b))) REDUCED to normal form. ------ 62962/4947795. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.b))) REDUCED to normal form. ------ 62963/4947957. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((a a) a))) REDUCED to normal form. ------ 62964/4947981. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.z))) 3. ==[ eta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 62965/4948263. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(^x.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 62966/4948407. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 62967/4948530. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 62968/4948551. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 62969/4948686. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 62970/4948818. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 62971/4948911. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z (z z)))) 5. ==[ beta ]==> ((a a)(^z.(z (z z)))) 6. ==[ alpha ]==> ((a a)(^x.(x (x x)))) REDUCED to normal form. ------ 62972/4948992. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 62973/4949244. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.c)) 5. ==[ beta ]==> ((^y.b)(^z.c)) 6. ==[ alpha ]==> ((^x.b)(^y.c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 62974/4949298. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 62975/4949352. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 62976/4949406. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 62977/4949421. ------ 1. ==[ start ]==> ((^a.(^b.b))(b a)) 2. ==[ alpha ]==> ((^x.(^y.y))(b a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 62978/4949442. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 62979/4949469. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 62980/4949496. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 62981/4949526. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 62982/4949553. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 62983/4949571. ------ 1. ==[ start ]==> ((a b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 62984/4949580. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 62985/4949616. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 62986/4949625. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 62987/4949643. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 62988/4949670. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 62989/4949697. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(y y)))) REDUCED to normal form. ------ 62990/4949724. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 62991/4949787. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 62992/4949805. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 62993/4949814. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 62994/4949841. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 62995/4949886. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 62996/4949913. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 62997/4949940. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((b a) b)) REDUCED to normal form. ------ 62998/4950030. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 62999/4950084. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 63000/4950111. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 63001/4950147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 63002/4950201. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 63003/4950210. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 63004/4950228. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(a a))) 3. ==[ beta ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 63005/4950255. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 63006/4950264. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 63007/4950309. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 63008/4950336. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 63009/4950471. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63010/4950561. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 63011/4950588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(y y)))) 5. ==[ beta ]==> (a ((a b)(^y.(y y)))) 6. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 63012/4950615. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 63013/4950669. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 63014/4950696. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 63015/4950759. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 63016/4950840. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 63017/4950867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 63018/4950984. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((^z.z)(a a)))) 5. ==[ beta ]==> (a (c ((^z.z)(a a)))) 6. ==[ alpha ]==> (a (c ((^x.x)(a a)))) 7. ==[ beta ]==> (a (c (a a))) REDUCED to normal form. ------ 63019/4951065. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 63020/4951092. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 63021/4951101. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 63022/4951146. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 63023/4951227. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.b))(a (a b))) REDUCED to normal form. ------ 63024/4951272. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 63025/4951353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 63026/4951380. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 63027/4951398. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 63028/4951407. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 63029/4951560. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 63030/4951587. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b) a)((a a) b)) REDUCED to normal form. ------ 63031/4951614. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((a b) c)) REDUCED to normal form. ------ 63032/4951767. ------ 1. ==[ start ]==> (((^a.b)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 63033/4951794. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 63034/4951974. ------ 1. ==[ start ]==> (((a b)(a a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.b))) REDUCED to normal form. ------ 63035/4952001. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 63036/4952010. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63037/4952181. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) b)(a (^y.a))) 4. ==[ alpha ]==> (((a b) b)(a (^x.a))) REDUCED to normal form. ------ 63038/4952208. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 63039/4952235. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 63040/4952262. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 63041/4952316. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 63042/4952460. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 63043/4952622. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 63044/4952649. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 63045/4952676. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 63046/4952856. ------ 1. ==[ start ]==> (((a b) c)((a a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.b))) REDUCED to normal form. ------ 63047/4952883. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b) a)) 3. ==[ beta ]==> (((a a) b)((a b) a)) REDUCED to normal form. ------ 63048/4952910. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a) b)) REDUCED to normal form. ------ 63049/4953072. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 63050/4953090. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 63051/4953099. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 63052/4953126. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63053/4953216. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.a))) REDUCED to normal form. ------ 63054/4953243. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.b))) 3. ==[ beta ]==> ((a (a b))(a (^y.b))) 4. ==[ alpha ]==> ((a (a b))(a (^x.b))) REDUCED to normal form. ------ 63055/4953297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63056/4953324. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 63057/4953351. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 63058/4953378. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 63059/4953405. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 63060/4953432. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 63061/4953522. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (a (a a)))) 5. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 63062/4953603. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 63063/4953711. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 63064/4953774. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 63065/4953801. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.a))) REDUCED to normal form. ------ 63066/4953855. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 63067/4953882. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 63068/4953909. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) b)) REDUCED to normal form. ------ 63069/4953981. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a (a a)))) REDUCED to normal form. ------ 63070/4953999. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 63071/4954080. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.a))) REDUCED to normal form. ------ 63072/4954107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 63073/4954134. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 63074/4954161. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 63075/4954188. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 63076/4954215. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 63077/4954260. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63078/4954269. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 63079/4954359. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (a (a a)))) 5. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 63080/4954440. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 63081/4954557. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 63082/4954584. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1)) b)) REDUCED to normal form. ------ 63083/4954602. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 63084/4954656. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a a))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 63085/4954665. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63086/4954692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) c)) 5. ==[ beta ]==> ((^y.b)((^z.z) c)) 6. ==[ alpha ]==> ((^x.b)((^y.y) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63087/4954737. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 63088/4954746. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 63089/4954773. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 63090/4954800. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a) b)) REDUCED to normal form. ------ 63091/4954845. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63092/4954854. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 63093/4954872. ------ 1. ==[ start ]==> ((a (^b.b))(b a)) 2. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 63094/4954890. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 63095/4954917. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 63096/4954944. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 63097/4955055. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63098/4957242. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 63099/4960320. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63100/4960509. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63101/4960512. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 63102/4960554. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63103/4960671. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.((^z.a)((a a) a))) 4. ==[ alpha ]==> (^x.((^y.a)((a a) a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 63104/4960914. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 63105/4961106. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63106/4961115. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 63107/4961403. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63108/4961952. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(b x))) 3. ==[ eta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 63109/4962309. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(^y.(y y))) b) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 63110/4962696. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63111/4962699. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63112/4962942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 63113/4963158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 63114/4963977. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 63115/4964334. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a) a)) 3. ==[ eta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 63116/4964778. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 63117/4964883. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 63118/4965171. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 63119/4965264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 63120/4965453. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63121/4965597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63122/4965774. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63123/4965777. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63124/4965822. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 63125/4965849. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 63126/4965897. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (a (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (a (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 63127/4965924. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 63128/4965942. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 63129/4965951. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 63130/4965969. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 63131/4965987. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 63132/4966014. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 63133/4966077. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 63134/4966104. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63135/4966131. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 63136/4966149. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.b)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 63137/4966176. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 63138/4966212. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 63139/4966239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63140/4966293. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 63141/4966374. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 63142/4966482. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((^y.(y y))(^z.(a a)))((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 9. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(a a)))) 10. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 11. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 12. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 63143/4966509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63144/4966545. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (b a))) 3. ==[ beta ]==> ((a b)(b (b a))) REDUCED to normal form. ------ 63145/4966563. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 63146/4966572. ------ 1. ==[ start ]==> (((a (a a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 63147/4966599. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 63148/4966626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 63149/4966653. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 63150/4966680. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 63151/4966788. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((b b)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 63152/4966860. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63153/4966968. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 7. ==[ beta ]==> ((^y.b)(a (a a))) 8. ==[ alpha ]==> ((^x.b)(a (a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 63154/4967049. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(a b))) REDUCED to normal form. ------ 63155/4967148. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a) a)) REDUCED to normal form. ------ 63156/4967175. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y)) b)) 5. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 63157/4967292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63158/4967346. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63159/4967382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b (b ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 63160/4967409. ------ 1. ==[ start ]==> ((((a a) a) a)(a (b a))) REDUCED to normal form. ------ 63161/4967463. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 63162/4967490. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a b) a)) REDUCED to normal form. ------ 63163/4967517. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 63164/4967544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63165/4967571. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 63166/4967688. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 63167/4967715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 63168/4967742. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 63169/4967769. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 63170/4967778. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 63171/4967859. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a b))) IRREDUCIBLE: cycle. ------ 63172/4967940. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63173/4967967. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 63174/4967994. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63175/4968048. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 63176/4968129. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63177/4968138. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(b (a a))) REDUCED to normal form. ------ 63178/4968156. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 63179/4968174. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 63180/4968201. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 63181/4968228. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.b) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 63182/4968327. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 63183/4968372. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63184/4968399. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 63185/4968453. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((^y.b)(a (^z.z))) 8. ==[ alpha ]==> ((^x.b)(a (^y.y))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 63186/4968534. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63187/4968588. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63188/4968615. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63189/4968669. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 63190/4968750. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63191/4968849. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 63192/4968876. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b) b)) 3. ==[ beta ]==> ((a ((a a) a))((^y.b) b)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b) b)) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 63193/4968975. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 63194/4969074. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63195/4969209. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63196/4969317. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63197/4969371. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 63198/4969407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63199/4969434. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 63200/4969461. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 63201/4969488. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 63202/4969515. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 63203/4969632. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 63204/4969659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63205/4969686. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 63206/4969713. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a b) a)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(x x)))) REDUCED to normal form. ------ 63207/4969740. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 63208/4969794. ------ 1. ==[ start ]==> ((a (b a))(((a a) a) a)) REDUCED to normal form. ------ 63209/4969884. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63210/4970028. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 63211/4970073. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 63212/4970154. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 63213/4970235. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63214/4970343. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 63215/4970388. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 63216/4970415. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(y y)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(x x)) b)) 7. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 63217/4970442. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) c)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 63218/4970523. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 63219/4970550. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 63220/4970577. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 63221/4970631. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 63222/4970640. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63223/4970721. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 63224/4970802. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (b (b (^x1.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 63225/4970910. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63226/4970937. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 63227/4970964. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63228/4971027. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 63229/4971054. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)((a a)(a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63230/4971099. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63231/4971108. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 63232/4971162. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (a a))) REDUCED to normal form. ------ 63233/4971207. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63234/4971216. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a a))) REDUCED to normal form. ------ 63235/4971234. ------ 1. ==[ start ]==> ((a (^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 63236/4971252. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 63237/4971279. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a) a)) REDUCED to normal form. ------ 63238/4971306. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 63239/4971332. ------ 1. ==[ start ]==> (^a.((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((x (x x))((^y.y)(x x)))) 3. ==[ beta ]==> (^x.((x (x x))(x x))) REDUCED to normal form. ------ 63240/4971333. ------ 1. ==[ start ]==> (a ((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (a ((a (a a))(a a))) REDUCED to normal form. ------ 63241/4976691. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63242/4976793. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a))) a) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a))) a) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 63243/4976799. ------ 1. ==[ start ]==> ((^a.a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 63244/4976826. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((a a)(^z.z)))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((a a)(^z.z)))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 63245/4976853. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 63246/4976901. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 63247/4977051. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.a))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.a))) REDUCED to normal form. ------ 63248/4977198. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 63249/4977495. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 63250/4977744. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63251/4978845. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 63252/4979097. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 63253/4979283. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(a b))((a (^z.z))(a b)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(a b))((a (^z.z))(a b)))) 5. ==[ beta ]==> (((a (^y.y))(a b))((a (^z.z))(a b))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a b))) REDUCED to normal form. ------ 63254/4979538. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 63255/4979547. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 63256/4979772. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.(y y))) REDUCED to normal form. ------ 63257/4979958. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(a b))((a a)(a b)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a b))((a a)(a b)))(^x.x)) REDUCED to normal form. ------ 63258/4980168. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x)(a a)) b) a) 4. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 63259/4980357. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 63260/4980528. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((a a) a))) 3. ==[ beta ]==> ((a (a b))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (a b))(^x.((a a) a))) REDUCED to normal form. ------ 63261/4981158. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63262/4981167. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 63263/4981311. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 63264/4981545. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63265/4981644. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.d)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.d)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.d)) 5. ==[ beta ]==> ((a a)(^z.d)) 6. ==[ alpha ]==> ((a a)(^x.d)) REDUCED to normal form. ------ 63266/4981842. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 63267/4982058. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 63268/4982154. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63269/4982157. ------ 1. ==[ start ]==> ((a (^b.b))(^b.b)) 2. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 63270/4982202. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.b)) REDUCED to normal form. ------ 63271/4982229. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(z z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 63272/4982256. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 63273/4982268. ------ 1. ==[ start ]==> ((a a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 63274/4982295. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 63275/4982322. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(b a))) REDUCED to normal form. ------ 63276/4982340. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 63277/4982367. ------ 1. ==[ start ]==> (((^a.a) b)(a (^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 63278/4982394. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63279/4982412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63280/4982439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 63281/4982466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 63282/4982475. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 63283/4982493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 63284/4982502. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 63285/4982520. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 63286/4982556. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63287/4982601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 63288/4982637. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 63289/4982664. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 63290/4982682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (a ((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 63291/4982691. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 63292/4982709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 63293/4982853. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63294/4982961. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63295/4982979. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 63296/4983105. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 63297/4983132. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 63298/4983159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 63299/4983186. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 63300/4983213. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 63301/4983303. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 63302/4983312. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 63303/4983339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (a ((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 63304/4983357. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 63305/4983366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 63306/4983384. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 63307/4983420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 63308/4983438. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 63309/4983447. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 63310/4983474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 63311/4983771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63312/4983996. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a b))) REDUCED to normal form. ------ 63313/4984023. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 63314/4984050. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 63315/4984149. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 63316/4984167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 63317/4984248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.b))) IRREDUCIBLE: cycle. ------ 63318/4984311. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.x))) REDUCED to normal form. ------ 63319/4984329. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (b (((a a)(^z.z)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 63320/4984338. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 63321/4984356. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 63322/4984365. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 63323/4984383. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 63324/4984419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 63325/4984446. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 63326/4984473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63327/4984500. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 63328/4984527. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 63329/4984563. ------ 1. ==[ start ]==> (((a a)(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 63330/4984590. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 63331/4984617. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 63332/4984644. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 63333/4984671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(a (a a)))) 9. ==[ beta ]==> (a ((^y.y)(a (a a)))) 10. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 11. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 63334/4984698. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 63335/4984725. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b)(a a))(a ((a a) a))) REDUCED to normal form. ------ 63336/4984752. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 63337/4984842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 63338/4984923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 63339/4984932. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b) b)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b) b)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b) b)(^y.y)) 10. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 63340/4984959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 63341/4984977. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 63342/4984986. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63343/4985004. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 63344/4985013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 63345/4985058. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b) b)) 9. ==[ beta ]==> ((^y.y)((a b) b)) 10. ==[ alpha ]==> ((^x.x)((a b) b)) 11. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 63346/4985067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 63347/4985121. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 63348/4985148. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63349/4985175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 63350/4985211. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a b))) 3. ==[ beta ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 63351/4985238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 63352/4985265. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(a a))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(a a))) REDUCED to normal form. ------ 63353/4985292. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 63354/4985319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a (a a))((^y.y) a)) 10. ==[ alpha ]==> ((a (a a))((^x.x) a)) 11. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 63355/4985346. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 63356/4985364. ------ 1. ==[ start ]==> (((^a.b) c)(d (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.(^z.z)))) 3. ==[ beta ]==> (b (d (^y.(^z.z)))) 4. ==[ alpha ]==> (b (d (^x.(^y.y)))) REDUCED to normal form. ------ 63357/4985373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 63358/4985400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 63359/4985427. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a b))) REDUCED to normal form. ------ 63360/4985463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 63361/4985598. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 63362/4985607. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 63363/4985634. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(a b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 63364/4985661. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 63365/4985679. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 63366/4985715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 63367/4985742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 63368/4985796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63369/4985823. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 63370/4985841. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 63371/4985940. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 63372/4985967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 63373/4985994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)((a a) a))) 3. ==[ beta ]==> ((a (a b))((a a)((a a) a))) REDUCED to normal form. ------ 63374/4986354. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63375/4986525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63376/4986543. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 63377/4986552. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 63378/4986606. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63379/4986624. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63380/4986633. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 63381/4986660. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 63382/4986687. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 63383/4986750. ------ 1. ==[ start ]==> (((a a)(b a))(b (a (a a)))) REDUCED to normal form. ------ 63384/4986777. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 63385/4986804. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 63386/4986831. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 63387/4986858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 63388/4986885. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 63389/4987011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63390/4987029. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63391/4987191. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63392/4987299. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63393/4987308. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 63394/4987326. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 63395/4987335. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 63396/4987353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 63397/4987407. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.a) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.a) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 63398/4987416. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 63399/4987443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63400/4987488. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 63401/4987497. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63402/4987524. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 63403/4987551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 63404/4987596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63405/4987605. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.x1))) REDUCED to normal form. ------ 63406/4987623. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 63407/4987641. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 63408/4987668. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a b)) REDUCED to normal form. ------ 63409/4987695. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 63410/4987722. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a a)) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 63411/4991649. ------ 1. ==[ start ]==> ((^a.(b a))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((a a) a))) 3. ==[ eta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 63412/4992486. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^x1.(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 63413/4993089. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63414/4993191. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a))) b) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a))) b) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 63415/4993215. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63416/4993260. ------ 1. ==[ start ]==> ((^a.b)(c (^d.a))) 2. ==[ alpha ]==> ((^x.b)(c (^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 63417/4993296. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63418/4993317. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 63419/4993341. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(a a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63420/4993530. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 63421/4993800. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.b))(((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.(^y1.y1))(^z1.b))((^x2.(^y2.y2))(^z2.b)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.b))((^x2.(^y2.y2))(^z2.b)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63422/4993920. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 63423/4994025. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63424/4994478. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y a))) REDUCED to normal form. ------ 63425/4994583. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.b)(^z.(z z)))((^y.b)(^z.(z z))))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1))))((^y1.b)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.(x1 x1))))((^y1.b)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(y y))))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((b b)((^z.b)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((b b)((^x.b)(^y.(y y)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 63426/4994757. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(b y))) 3. ==[ eta ]==> (((^x.x)((a a) a)) b) 4. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 63427/4994916. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 63428/4995096. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((^y.b)((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.b)((^y.y) a)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 63429/4995252. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63430/4995483. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((b ((^z.z)(a a)))(b ((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 5. ==[ beta ]==> (^x.((b (a a))(b ((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.((b (a a))(b ((^y.y)(a a))))) 7. ==[ beta ]==> (^x.((b (a a))(b (a a)))) REDUCED to normal form. ------ 63431/4995504. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63432/4995729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 63433/4995954. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 63434/4996179. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 63435/4996365. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((b (^z.b))(b (^z.b)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.b))(b (^y.b)))(^z.z)) REDUCED to normal form. ------ 63436/4996575. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 63437/4996782. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 63438/4996962. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 63439/4997121. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)((a a) a))) 3. ==[ eta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 63440/4997124. ------ 1. ==[ start ]==> ((a (b a))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((a a) a))) REDUCED to normal form. ------ 63441/4997295. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 63442/4997574. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63443/4997718. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 63444/4997853. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63445/4997958. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^x1.x1)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 63446/4997961. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a (a a)))) REDUCED to normal form. ------ 63447/4998348. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 63448/4998537. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63449/4998561. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63450/4998564. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(a a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 63451/4998582. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 63452/4998609. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a a))) REDUCED to normal form. ------ 63453/4998636. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 63454/4998663. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 63455/4998693. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 63456/4998720. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 63457/4998738. ------ 1. ==[ start ]==> ((a b)(c (^d.a))) 2. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 63458/4998747. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 63459/4998774. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 63460/4998792. ------ 1. ==[ start ]==> (((a a)(a a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 63461/4998810. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63462/4998819. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 63463/4998837. ------ 1. ==[ start ]==> (((a a) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 63464/4998864. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 63465/4998891. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 63466/4998918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 63467/4998972. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 63468/4998981. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 63469/4999008. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 63470/4999080. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 63471/4999107. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 63472/4999134. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) b)) REDUCED to normal form. ------ 63473/4999197. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 63474/4999224. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 63475/4999278. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 63476/4999368. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 5. ==[ beta ]==> ((^y.y)(b (b a))) 6. ==[ alpha ]==> ((^x.x)(b (b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 63477/4999395. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 63478/4999404. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 63479/4999422. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 63480/4999476. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 63481/4999503. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 63482/4999638. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63483/4999665. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 63484/4999728. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 63485/4999755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (a ((a a)(^y.a))) 8. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 63486/4999782. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 63487/4999809. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 63488/4999836. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.a))(^z.a)) 8. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 63489/4999863. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 63490/4999890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 63491/4999926. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 63492/4999953. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b a)) REDUCED to normal form. ------ 63493/5000034. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 63494/5000061. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 63495/5000232. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a (b a))) 3. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 63496/5000259. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 63497/5000268. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 63498/5000295. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 63499/5000313. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y) a))) 7. ==[ beta ]==> ((a a)((a b)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 9. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 63500/5000394. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))((a a) a))) REDUCED to normal form. ------ 63501/5000466. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 63502/5000547. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 63503/5000565. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 63504/5000574. ------ 1. ==[ start ]==> ((a (a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 63505/5000727. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63506/5000754. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 63507/5000781. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.b))((a a) b)) REDUCED to normal form. ------ 63508/5000934. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 63509/5000961. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(b (a a))) REDUCED to normal form. ------ 63510/5000979. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 63511/5001177. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63512/5001204. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 63513/5001348. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 63514/5001402. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 63515/5001429. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(a a)))) REDUCED to normal form. ------ 63516/5001483. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 63517/5001627. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 63518/5001654. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 63519/5001843. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.b))) REDUCED to normal form. ------ 63520/5002023. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 63521/5002050. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.b))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.b))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.b))) REDUCED to normal form. ------ 63522/5002077. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b) a)) REDUCED to normal form. ------ 63523/5002131. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) c) REDUCED to normal form. ------ 63524/5002257. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 63525/5002266. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 63526/5002320. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 63527/5002410. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.a))) 3. ==[ beta ]==> ((a (a b))(b (^y.a))) 4. ==[ alpha ]==> ((a (a b))(b (^x.a))) REDUCED to normal form. ------ 63528/5002437. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.b))) REDUCED to normal form. ------ 63529/5002491. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 63530/5002518. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a b) a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a b) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a b) a)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a b) a)(a ((^x.x) a))) 9. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 63531/5002545. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 63532/5002572. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 63533/5002599. ------ 1. ==[ start ]==> ((a (b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)((a a) a))) 3. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 63534/5002770. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 63535/5002833. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(c c)) REDUCED to normal form. ------ 63536/5002878. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 63537/5002905. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63538/5002941. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63539/5002968. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 63540/5003022. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 63541/5003049. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 63542/5003076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 63543/5003103. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) b)) REDUCED to normal form. ------ 63544/5003166. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 63545/5003193. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 63546/5003301. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 63547/5003328. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 63548/5003355. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a a))) 7. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 63549/5003382. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 63550/5003427. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63551/5003436. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 63552/5003526. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a a)(b ((^z.z) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 63553/5003607. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 63554/5003715. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63555/5003724. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.a))) REDUCED to normal form. ------ 63556/5003751. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 63557/5003769. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (a a))) 3. ==[ beta ]==> ((^y.y)(c (a a))) 4. ==[ alpha ]==> ((^x.x)(c (a a))) 5. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 63558/5003823. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 63559/5003832. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 63560/5003859. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63561/5003904. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 63562/5003913. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 63563/5003940. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 63564/5003967. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z)) a)) REDUCED to normal form. ------ 63565/5004012. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63566/5004021. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 63567/5004039. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 63568/5004057. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 63569/5004084. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 63570/5004111. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 63571/5004138. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 63572/5008074. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.a))) 3. ==[ eta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 63573/5009730. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63574/5009742. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 63575/5009775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(^y1.y1))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 63576/5009892. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 63577/5009964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.(a a)))) 3. ==[ eta ]==> ((^y.y)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 63578/5010057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 63579/5010354. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 63580/5010363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 63581/5011530. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(^y.a)) b) 4. ==[ alpha ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 63582/5011704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 63583/5011917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(a a)))((^z.(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.(a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63584/5012838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 63585/5013216. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 63586/5013225. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 63587/5013555. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.a))) 3. ==[ eta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 63588/5013558. ------ 1. ==[ start ]==> ((a (b a))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 63589/5013729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 63590/5014104. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 63591/5014392. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 63592/5014404. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63593/5014701. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 63594/5014782. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 63595/5014791. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63596/5014863. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 63597/5014926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.c)) REDUCED to normal form. ------ 63598/5014971. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63599/5014980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 63600/5014995. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63601/5015016. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 63602/5015043. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 63603/5015097. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 63604/5015145. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (a ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (a ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (a ((a (a a))(a a))) REDUCED to normal form. ------ 63605/5015172. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 63606/5015199. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 63607/5015217. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 63608/5015226. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 63609/5015262. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 63610/5015271. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63611/5015352. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63612/5015379. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 63613/5015424. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.b)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 63614/5015451. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 63615/5015460. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 63616/5015487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63617/5015541. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 63618/5015568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63619/5015730. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63620/5015757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63621/5015793. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 63622/5015820. ------ 1. ==[ start ]==> (((a (a a)) a)(b (b a))) REDUCED to normal form. ------ 63623/5015838. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63624/5015847. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 63625/5015874. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(a a))) REDUCED to normal form. ------ 63626/5015901. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 63627/5015928. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 63628/5016036. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(a b))) 3. ==[ beta ]==> ((b b)((a (a a))(a b))) REDUCED to normal form. ------ 63629/5016081. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63630/5016216. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63631/5016243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63632/5016297. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 63633/5016423. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((b a) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a) a)) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 63634/5016450. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 63635/5016540. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63636/5016594. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.b))) 7. ==[ beta ]==> (a ((^y.b)(^y.b))) 8. ==[ alpha ]==> (a ((^x.b)(^y.b))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 63637/5016630. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^y.y)(a a)))) 5. ==[ beta ]==> (b (c ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 7. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 63638/5016657. ------ 1. ==[ start ]==> ((((a a) a) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 63639/5016711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) REDUCED to normal form. ------ 63640/5016738. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 63641/5016765. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a b) a)) REDUCED to normal form. ------ 63642/5016792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63643/5016819. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 63644/5016963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 63645/5016990. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63646/5017017. ------ 1. ==[ start ]==> ((a (a b))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.a))) REDUCED to normal form. ------ 63647/5017026. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 63648/5017107. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((a a) a))) IRREDUCIBLE: cycle. ------ 63649/5017188. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 63650/5017215. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 63651/5017242. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63652/5017377. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63653/5017386. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (a b))) REDUCED to normal form. ------ 63654/5017404. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63655/5017476. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 63656/5017503. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b) c)) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 63657/5017575. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 63658/5017620. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.b))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.b))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63659/5017647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 63660/5017701. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 7. ==[ beta ]==> ((^y.(a a))(a a)) 8. ==[ alpha ]==> ((^x.(a a))(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63661/5017782. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63662/5017836. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 63663/5017863. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63664/5017917. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 11. ==[ beta ]==> ((^y.(a a))(^z.z)) 12. ==[ alpha ]==> ((^x.(a a))(^y.y)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63665/5017998. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63666/5018124. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a)) a)) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 63667/5018151. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) b)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 63668/5018223. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 63669/5018322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 63670/5018457. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63671/5018538. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 63672/5018619. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 63673/5018655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63674/5018682. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b ((a a) a))) REDUCED to normal form. ------ 63675/5018700. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 63676/5018709. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a b))) REDUCED to normal form. ------ 63677/5018736. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 63678/5018763. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 63679/5018907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.z))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 63680/5018934. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 63681/5018961. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 63682/5018988. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 63683/5019015. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 63684/5019042. ------ 1. ==[ start ]==> ((a (b a))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.a))) REDUCED to normal form. ------ 63685/5019132. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (b ((^y.a)(^y.a))) 8. ==[ alpha ]==> (b ((^x.a)(^y.a))) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63686/5019213. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 63687/5019276. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 63688/5019321. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(y y)))) 3. ==[ beta ]==> ((b a)(c (^y.(y y)))) 4. ==[ alpha ]==> ((b a)(c (^x.(x x)))) REDUCED to normal form. ------ 63689/5019348. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 63690/5019402. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 63691/5019465. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c d)) REDUCED to normal form. ------ 63692/5019483. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63693/5019591. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 63694/5019663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 63695/5019690. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x)) b)) 3. ==[ beta ]==> (((a (a a))(a b))(b b)) REDUCED to normal form. ------ 63696/5019717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a) c)) 5. ==[ beta ]==> (((a a) a)((^y.a) c)) 6. ==[ alpha ]==> (((a a) a)((^x.a) c)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 63697/5019798. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 63698/5019825. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 63699/5019879. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 63700/5019888. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63701/5019969. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63702/5020050. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 63703/5020158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63704/5020167. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b c)) REDUCED to normal form. ------ 63705/5020185. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 63706/5020212. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63707/5020266. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 9. ==[ beta ]==> (((a a)(a a))(^y.a)) 10. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 63708/5020275. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 63709/5020302. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63710/5020347. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (b (a (^x1.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 63711/5020356. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 63712/5020383. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 63713/5020410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a c)) REDUCED to normal form. ------ 63714/5020455. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63715/5020464. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (a (^x1.x1)))) REDUCED to normal form. ------ 63716/5020482. ------ 1. ==[ start ]==> ((a (^b.b))(b (^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 63717/5020500. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 63718/5020527. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.y))) REDUCED to normal form. ------ 63719/5020554. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 63720/5020581. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 63721/5020607. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(x b))) 3. ==[ beta ]==> (^x.((^z.z)(x b))) 4. ==[ alpha ]==> (^x.((^y.y)(x b))) 5. ==[ beta ]==> (^x.(x b)) REDUCED to normal form. ------ 63722/5020608. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (a ((^y.y)(a b))) 4. ==[ alpha ]==> (a ((^x.x)(a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 63723/5026095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b)) a) 3. ==[ beta ]==> (((^y.y)(a b)) a) 4. ==[ alpha ]==> (((^x.x)(a b)) a) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 63724/5026101. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 63725/5026128. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((^y.y)(a a)))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a (a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a a))((a (a a))((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 63726/5026155. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 63727/5026230. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63728/5026353. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 63729/5026527. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 63730/5026824. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 63731/5027046. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63732/5028165. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63733/5028174. ------ 1. ==[ start ]==> (((a b) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 63734/5028426. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 63735/5028585. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)((a a) a))(((^z.z) a)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 5. ==[ beta ]==> ((((^y.y) a)((a a) a))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((a a) a))) 9. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 63736/5029101. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 63737/5029260. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((((a (^z.z))((a a) a))((a (^z.z))((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))((a a) a))((a (^y.y))((a a) a)))(^z.z)) REDUCED to normal form. ------ 63738/5029497. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a y))) 3. ==[ eta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 63739/5029686. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 63740/5030361. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 63741/5030496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 63742/5030640. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 63743/5030748. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 63744/5031171. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 63745/5031252. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 63746/5031324. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 63747/5031333. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 63748/5031387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 63749/5031441. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 63750/5031456. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63751/5031531. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 63752/5031558. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(y y))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(y y))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 63753/5031585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 63754/5031597. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((a a)((^y.y)(a b))) 4. ==[ alpha ]==> ((a a)((^x.x)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 63755/5031624. ------ 1. ==[ start ]==> ((a (a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 63756/5031651. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 63757/5031696. ------ 1. ==[ start ]==> (((^a.a) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 63758/5031705. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 63759/5031723. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 63760/5031741. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63761/5031750. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 63762/5031768. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 63763/5031795. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 63764/5031822. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 63765/5031831. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 63766/5031849. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 63767/5031885. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63768/5031930. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 63769/5031966. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 63770/5031993. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63771/5032011. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 63772/5032020. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 63773/5032038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 63774/5032047. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 63775/5032263. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 63776/5032317. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63777/5032335. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63778/5032434. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 63779/5032461. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.y))) REDUCED to normal form. ------ 63780/5032488. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 63781/5032515. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(a b))) REDUCED to normal form. ------ 63782/5032542. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 63783/5032632. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 63784/5032686. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 63785/5032695. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 63786/5032713. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 63787/5032722. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 63788/5032749. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 63789/5032776. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63790/5032803. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 7. ==[ beta ]==> ((^y.(y y))(a b)) 8. ==[ alpha ]==> ((^x.(x x))(a b)) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 63791/5033100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63792/5033226. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a)) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a)) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a)) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a)) c)) 7. ==[ beta ]==> ((a a)((^y.(a a)) c)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 63793/5033325. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 63794/5033352. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 63795/5033379. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 63796/5033406. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 63797/5033478. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 63798/5033496. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 63799/5033640. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 63800/5033658. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63801/5033667. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 63802/5033685. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 63803/5033694. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 63804/5033712. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 63805/5033748. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 63806/5033802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 63807/5033856. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 63808/5033892. ------ 1. ==[ start ]==> (((a a)(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(b (a a))) REDUCED to normal form. ------ 63809/5033919. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 63810/5033946. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 63811/5033973. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 63812/5034000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (a (((a a) a)((^y.y) a))) 8. ==[ alpha ]==> (a (((a a) a)((^x.x) a))) 9. ==[ beta ]==> (a (((a a) a) a)) REDUCED to normal form. ------ 63813/5034027. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 63814/5034054. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 63815/5034081. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 63816/5034171. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63817/5034252. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 63818/5034261. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 63819/5034288. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) a)(^y.y)) 12. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 63820/5034315. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 63821/5034333. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 63822/5034342. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 63823/5034387. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 11. ==[ beta ]==> (((^y.y)(a a)) a) 12. ==[ alpha ]==> (((^x.x)(a a)) a) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 63824/5034396. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 63825/5034423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 9. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 63826/5034450. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 63827/5034477. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 63828/5034504. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 63829/5034567. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (a b))) REDUCED to normal form. ------ 63830/5034594. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 63831/5034621. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a a))) REDUCED to normal form. ------ 63832/5034648. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 63833/5034675. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 8. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 9. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 63834/5034702. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 63835/5034729. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 63836/5034756. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 63837/5034927. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 63838/5034936. ------ 1. ==[ start ]==> (((a b) c)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 63839/5034963. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 63840/5034990. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 63841/5035008. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 63842/5035035. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 63843/5035044. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 63844/5035071. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 63845/5035125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63846/5035179. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 63847/5035269. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 63848/5035296. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (a (a a)))) REDUCED to normal form. ------ 63849/5035323. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 63850/5035350. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 63851/5035602. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) c)) 5. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 63852/5035854. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 63853/5035872. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 63854/5035881. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 63855/5035935. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 63856/5035953. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 63857/5035962. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 63858/5035989. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 63859/5036016. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 63860/5036079. ------ 1. ==[ start ]==> (((a a)(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(c ((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))(c a)) REDUCED to normal form. ------ 63861/5036106. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 63862/5036133. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(a (^y.y))) 8. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 63863/5036160. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(a a))) REDUCED to normal form. ------ 63864/5036187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 63865/5036214. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 63866/5036241. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 63867/5036340. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63868/5036358. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63869/5036439. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z)) c)) 5. ==[ beta ]==> ((a a)((a (^z.z)) c)) 6. ==[ alpha ]==> ((a a)((a (^x.x)) c)) REDUCED to normal form. ------ 63870/5036520. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (b ((^x1.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 63871/5036628. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63872/5036637. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 63873/5036655. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 63874/5036664. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 63875/5036682. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63876/5036745. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 63877/5036772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.z))) 5. ==[ beta ]==> ((^y.b)(c (^z.z))) 6. ==[ alpha ]==> ((^x.b)(c (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 63878/5036817. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (b ((^x1.x1) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 63879/5036826. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 63880/5036853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 63881/5036880. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 63882/5036925. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63883/5036934. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 63884/5036952. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 63885/5036970. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 63886/5036997. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b a)) REDUCED to normal form. ------ 63887/5037024. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 63888/5037051. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (a a))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 63889/5037078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a a)) 3. ==[ beta ]==> (((^y.y)(a b))(a a)) 4. ==[ alpha ]==> (((^x.x)(a b))(a a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 63890/5037225. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63891/5042445. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63892/5042574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b)) b) 3. ==[ beta ]==> (((^y.y)(a b)) b) 4. ==[ alpha ]==> (((^x.x)(a b)) b) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 63893/5042598. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63894/5042679. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63895/5042724. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^z.z))(^y.y)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 63896/5042727. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 63897/5042913. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a b))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63898/5043015. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 63899/5043330. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 63900/5043408. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63901/5043888. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(z a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y a))) 5. ==[ beta ]==> ((a a)(^y.(y a))) 6. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 63902/5043966. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((^y.(a a))(^z.a))((^y.(a a))(^z.a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.a))((^z.(a a))(^x1.a)))((^y1.(a a))(^z1.a))) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.a)))((^y1.(a a))(^z1.a))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.a)))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))(^x1.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 63903/5044167. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 63904/5044299. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 63905/5044479. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.(a a))(a (^y.y))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 63906/5044662. ------ 1. ==[ start ]==> (((a b) a)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63907/5044866. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (a b))) 3. ==[ beta ]==> (^y.((c (a b))(c (a b)))) 4. ==[ alpha ]==> (^x.((c (a b))(c (a b)))) REDUCED to normal form. ------ 63908/5044914. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63909/5045589. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 63910/5045787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(a b))) 3. ==[ beta ]==> ((^y.y)(^x1.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 63911/5046372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 9. ==[ beta ]==> (^y.(^z.b)) 10. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 63912/5046504. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63913/5046984. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63914/5047128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63915/5047263. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 63916/5047341. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((^z1.z1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 63917/5047740. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 63918/5047812. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 63919/5047821. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 63920/5047875. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 63921/5047944. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63922/5047947. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 63923/5047992. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 63924/5048019. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 63925/5048046. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 63926/5048073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 63927/5048103. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 63928/5048130. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 63929/5048157. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 63930/5048184. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 63931/5048202. ------ 1. ==[ start ]==> (((a a)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 63932/5048229. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 63933/5048247. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 63934/5048274. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 63935/5048301. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 63936/5048328. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 63937/5048364. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 63938/5048382. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 63939/5048418. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 63940/5048463. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 63941/5048517. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 63942/5048544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 63943/5048571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a) b)) 3. ==[ beta ]==> ((a (^y.y))((b a) b)) 4. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 63944/5048634. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 63945/5048661. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 63946/5048805. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (b a))) 3. ==[ beta ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 63947/5048832. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 63948/5048841. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 63949/5048886. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 63950/5048913. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 63951/5049048. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 63952/5049075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 63953/5049138. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.x))) REDUCED to normal form. ------ 63954/5049165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 63955/5049192. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 63956/5049219. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 63957/5049246. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 63958/5049300. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 63959/5049336. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 63960/5049363. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 63961/5049390. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 63962/5049471. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 63963/5049642. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 63964/5049669. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 63965/5049723. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 10. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 63966/5049732. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 63967/5049804. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 63968/5049903. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 63969/5049975. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63970/5049984. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 63971/5050137. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 63972/5050164. ------ 1. ==[ start ]==> (((a b) a)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 63973/5050191. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 63974/5050245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 63975/5050371. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (a b))) REDUCED to normal form. ------ 63976/5050389. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 63977/5050587. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 63978/5050614. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 63979/5050758. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b) b)(^y.(y y))) 6. ==[ alpha ]==> (((a b) b)(^x.(x x))) REDUCED to normal form. ------ 63980/5050785. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 63981/5050812. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 63982/5050839. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 63983/5050893. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 63984/5050920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) b)) 5. ==[ beta ]==> ((^y.(y y))((a b) b)) 6. ==[ alpha ]==> ((^x.(x x))((a b) b)) 7. ==[ beta ]==> (((a b) b)((a b) b)) REDUCED to normal form. ------ 63985/5050947. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 63986/5051037. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 63987/5051064. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 63988/5051091. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(a a))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(a a))) REDUCED to normal form. ------ 63989/5051190. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 63990/5051289. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 63991/5051433. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 63992/5051460. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 63993/5051487. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 63994/5051541. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a) b)) REDUCED to normal form. ------ 63995/5051568. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.b))((^z.z) c)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) c)) 7. ==[ beta ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 63996/5051667. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 63997/5051703. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 63998/5051820. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 63999/5051847. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.a))) REDUCED to normal form. ------ 64000/5051874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.b))) 7. ==[ beta ]==> ((^y.y)(a (^z.b))) 8. ==[ alpha ]==> ((^x.x)(a (^y.b))) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 64001/5051928. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 64002/5051955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 64003/5051982. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 64004/5052009. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 64005/5052180. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 64006/5052243. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 64007/5052288. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((b a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 64008/5052315. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 64009/5052378. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 64010/5052432. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 64011/5052450. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 64012/5052459. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 64013/5052486. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 64014/5052513. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 64015/5052576. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 64016/5052603. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 64017/5052630. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 64018/5052738. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 64019/5052765. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 64020/5052792. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 64021/5052837. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64022/5052846. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 64023/5052936. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (a (^z.z)))) 5. ==[ beta ]==> ((a a)(c (a (^z.z)))) 6. ==[ alpha ]==> ((a a)(c (a (^x.x)))) REDUCED to normal form. ------ 64024/5053017. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 64025/5053134. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64026/5053152. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 64027/5053161. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 64028/5053233. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (a (^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (a (^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(b (a (^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 64029/5053242. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 64030/5053269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) a)) 5. ==[ beta ]==> ((^y.b)((^z.a) a)) 6. ==[ alpha ]==> ((^x.b)((^y.a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64031/5053314. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 64032/5053323. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 64033/5053350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 64034/5053377. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 64035/5053422. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64036/5053431. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a) b)) REDUCED to normal form. ------ 64037/5053449. ------ 1. ==[ start ]==> ((a (^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 64038/5053467. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 64039/5053494. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 64040/5053521. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 64041/5053548. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 64042/5053575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.y))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 64043/5058951. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64044/5059080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b)) c) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b)) c) 3. ==[ beta ]==> (((^y.y)(a b)) c) 4. ==[ alpha ]==> (((^x.x)(a b)) c) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 64045/5059251. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64046/5059356. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 64047/5059428. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 64048/5059548. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 64049/5059845. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64050/5059854. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 64051/5060142. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64052/5060691. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 64053/5060994. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) b) 5. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 6. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 64054/5061195. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 64055/5061381. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.b))((^z.a)(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.b))((^x1.a)(^y1.b)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.b)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.b)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 64056/5061681. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64057/5061897. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 11. ==[ beta ]==> (^y.((^z.z)(a a))) 12. ==[ alpha ]==> (^x.((^y.y)(a a))) 13. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 64058/5062518. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)((a a)(^y.y))) a) 4. ==[ beta ]==> (((a a)(^y.y)) a) 5. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 64059/5062716. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 64060/5063019. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 64061/5063364. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 64062/5063382. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.y))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.y))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 64063/5063568. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64064/5063856. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 64065/5064192. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 64066/5064282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.b))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.b))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 7. ==[ beta ]==> ((^y.b)(^z.z)) 8. ==[ alpha ]==> ((^x.b)(^y.y)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 64067/5064336. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 64068/5064459. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64069/5064462. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64070/5064507. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 64071/5064588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.a)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.a)) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 64072/5064636. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (a ((^y.y)(a b))) 6. ==[ alpha ]==> (a ((^x.x)(a b))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 64073/5064663. ------ 1. ==[ start ]==> (((a a) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 64074/5064690. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 64075/5064717. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(b a))) 3. ==[ beta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 64076/5064744. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 64077/5064762. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64078/5064789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64079/5064870. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 64080/5064888. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 64081/5064942. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 64082/5064951. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 64083/5064978. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 64084/5065032. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 64085/5065059. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 64086/5065248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64087/5065302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 64088/5065338. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (b a))) REDUCED to normal form. ------ 64089/5065356. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64090/5065365. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 64091/5065392. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 64092/5065419. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 64093/5065527. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((b b)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((b b)((^x.x)((a a) a))) 7. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 64094/5065653. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64095/5065734. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64096/5065860. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 64097/5065941. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 64098/5065968. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y)) b)) 5. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 64099/5066031. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64100/5066085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 64101/5066202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (b a))) REDUCED to normal form. ------ 64102/5066229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 64103/5066256. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 64104/5066283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64105/5066310. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 64106/5066481. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 64107/5066508. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 64108/5066517. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 64109/5066598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) IRREDUCIBLE: cycle. ------ 64110/5066679. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64111/5066706. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 64112/5066787. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 64113/5066868. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64114/5066895. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 64115/5066994. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 64116/5067021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b) c)) 5. ==[ beta ]==> (((^y.y) a)((^z.b) c)) 6. ==[ alpha ]==> (((^x.x) a)((^y.b) c)) 7. ==[ beta ]==> (a ((^y.b) c)) 8. ==[ alpha ]==> (a ((^x.b) c)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 64117/5067066. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 64118/5067138. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.b))) 3. ==[ beta ]==> ((^y.y)(c (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 64119/5067192. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 64120/5067273. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64121/5067327. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 64122/5067354. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 64123/5067408. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 11. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 13. ==[ beta ]==> ((^y.y)(a a)) 14. ==[ alpha ]==> ((^x.x)(a a)) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64124/5067489. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64125/5067642. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 64126/5067669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) b)) 5. ==[ beta ]==> ((a (a a))((^y.b) b)) 6. ==[ alpha ]==> ((a (a a))((^x.b) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 64127/5067714. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64128/5067813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 64129/5067948. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 64130/5067957. ------ 1. ==[ start ]==> (((a b) c)(d e)) REDUCED to normal form. ------ 64131/5068029. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 64132/5068056. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64133/5068110. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 64134/5068191. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64135/5068200. ------ 1. ==[ start ]==> (((a b)(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((a a) a))) REDUCED to normal form. ------ 64136/5068227. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 64137/5068254. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 64138/5068290. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 64139/5068425. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 64140/5068452. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 64141/5068479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 64142/5068506. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(y y)))) REDUCED to normal form. ------ 64143/5068533. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 64144/5068623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64145/5068704. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64146/5068767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 64147/5068875. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 64148/5068893. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 64149/5068974. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64150/5068983. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c d)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c d)) REDUCED to normal form. ------ 64151/5069082. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 64152/5069100. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a) c)) 3. ==[ beta ]==> (((a a)(b a))(a c)) REDUCED to normal form. ------ 64153/5069181. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 64154/5069208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(y y)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 7. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 64155/5069235. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a) c)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 64156/5069316. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 64157/5069370. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 64158/5069379. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64159/5069460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 64160/5069649. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64161/5069676. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64162/5069685. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b c)) REDUCED to normal form. ------ 64163/5069703. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 64164/5069757. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 64165/5069766. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 64166/5069793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.b)(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)(a ((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64167/5069838. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 64168/5069847. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 64169/5069901. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 64170/5069946. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64171/5069955. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (a a))) REDUCED to normal form. ------ 64172/5069973. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64173/5069991. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 64174/5070018. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 64175/5070045. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 64176/5070072. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a) a)) 3. ==[ beta ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 64177/5070099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y) a)) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 64178/5070125. ------ 1. ==[ start ]==> (^a.(((a a) a)((a a) a))) 2. ==[ alpha ]==> (^x.(((x x) x)((x x) x))) REDUCED to normal form. ------ 64179/5070126. ------ 1. ==[ start ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 64180/5075484. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.b)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64181/5075640. ------ 1. ==[ start ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 64182/5075646. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 64183/5075673. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a b))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 8. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 9. ==[ beta ]==> ((a b)((^y.y)(a b))) 10. ==[ alpha ]==> ((a b)((^x.x)(a b))) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 64184/5075700. ------ 1. ==[ start ]==> ((^a.b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 64185/5075781. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 64186/5075802. ------ 1. ==[ start ]==> (((a a) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 64187/5075898. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (^x.((a a)(^z.(z z)))) 6. ==[ alpha ]==> (^x.((a a)(^y.(y y)))) REDUCED to normal form. ------ 64188/5076099. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 64189/5076141. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 64190/5076396. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 64191/5076465. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64192/5076591. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64193/5076693. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 64194/5077737. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64195/5077746. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 64196/5077998. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 64197/5078130. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))((^z.z)(^x1.x1)))((a (a a))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(^z.z))) 10. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 64198/5078448. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 64199/5078673. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 64200/5078805. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z.z) a)((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> (((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> (((a (^x.x))(a ((^z.z)(^x1.x1))))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))(^x1.x1)) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(^x1.x1)) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 64201/5079258. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 64202/5079933. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 64203/5080068. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 64204/5080110. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64205/5080212. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 64206/5080734. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 64207/5080824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64208/5080905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 64209/5081001. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64210/5081004. ------ 1. ==[ start ]==> ((a (^b.b))(^c.b)) 2. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 64211/5081022. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 64212/5081049. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a a))) REDUCED to normal form. ------ 64213/5081103. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.b)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.b)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.b)) REDUCED to normal form. ------ 64214/5081130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(y y))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 64215/5081157. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 64216/5081169. ------ 1. ==[ start ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 64217/5081196. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 64218/5081223. ------ 1. ==[ start ]==> ((a b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 64219/5081268. ------ 1. ==[ start ]==> (((^a.a) b)(c (^d.a))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 64220/5081277. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 64221/5081295. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64222/5081304. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 64223/5081322. ------ 1. ==[ start ]==> (((a a) b)(a (^b.b))) 2. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 64224/5081340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64225/5081349. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 64226/5081367. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 64227/5081394. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 64228/5081421. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 64229/5081457. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64230/5081502. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 64231/5081529. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 64232/5081538. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 64233/5081565. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 64234/5081592. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 64235/5081610. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64236/5081619. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 64237/5081646. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64238/5081664. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a) b)) REDUCED to normal form. ------ 64239/5081754. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 64240/5081835. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a b)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 64241/5081862. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 64242/5081916. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64243/5081988. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64244/5082006. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 64245/5082033. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a (a a)))) REDUCED to normal form. ------ 64246/5082060. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 64247/5082087. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 64248/5082114. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 64249/5082213. ------ 1. ==[ start ]==> (((a (a a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 64250/5082258. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64251/5082267. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64252/5082285. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 64253/5082294. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 64254/5082321. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 64255/5082339. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 64256/5082375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64257/5082672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.b))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.b))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 7. ==[ beta ]==> (b ((^y.b)(^y.b))) 8. ==[ alpha ]==> (b ((^x.b)(^y.b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64258/5082699. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 64259/5082897. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 64260/5082924. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((a a) a))) REDUCED to normal form. ------ 64261/5082951. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a (a (a a)))(a (a b))) REDUCED to normal form. ------ 64262/5082978. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 64263/5083005. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 64264/5083050. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64265/5083068. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 64266/5083149. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 64267/5083212. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 64268/5083230. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 64269/5083239. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 64270/5083257. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 64271/5083266. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 64272/5083284. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 64273/5083320. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 64274/5083338. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b) c)) REDUCED to normal form. ------ 64275/5083347. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 64276/5083374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 64277/5083401. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64278/5083428. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 64279/5083464. ------ 1. ==[ start ]==> (((a a)(a b))(c (a b))) REDUCED to normal form. ------ 64280/5083491. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b (a a))) REDUCED to normal form. ------ 64281/5083518. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 64282/5083545. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 64283/5083572. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a b)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(a (^y.y)))) 7. ==[ beta ]==> (a ((a b)(a (^y.y)))) 8. ==[ alpha ]==> (a ((a b)(a (^x.x)))) REDUCED to normal form. ------ 64284/5083599. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 64285/5083626. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 64286/5083653. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 64287/5083824. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (b (((a a) a)(^x1.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 64288/5083833. ------ 1. ==[ start ]==> (((a b) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 64289/5083860. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 64290/5083878. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 64291/5083887. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 64292/5083905. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 64293/5083914. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 64294/5083959. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(a a)))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 11. ==[ beta ]==> ((a a)(^y.(a a))) 12. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 64295/5083968. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 64296/5083995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.z))) 7. ==[ beta ]==> (((^y.(a a))(^z.z))((^y.(a a))(^z.z))) 8. ==[ alpha ]==> (((^x.(a a))(^y.y))((^z.(a a))(^x1.x1))) 9. ==[ beta ]==> ((a a)((^z.(a a))(^x1.x1))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 64297/5084022. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 64298/5084040. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 64299/5084049. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 64300/5084076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 64301/5084139. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c ((a a) a))) REDUCED to normal form. ------ 64302/5084166. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (a b))) 3. ==[ beta ]==> ((a ((a a) a))(b (a b))) REDUCED to normal form. ------ 64303/5084193. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 64304/5084220. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(a a))) 5. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 64305/5084247. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 64306/5084274. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 64307/5084301. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 64308/5084328. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 64309/5084499. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 64310/5084508. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a b) c)((a (a a))(a (a a)))) REDUCED to normal form. ------ 64311/5084535. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 64312/5084562. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 64313/5084580. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 64314/5084607. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 64315/5084616. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 64316/5084643. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 64317/5084697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64318/5084724. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 64319/5084751. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 64320/5084778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 64321/5084841. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 64322/5084868. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (a a)) a)) REDUCED to normal form. ------ 64323/5084895. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a (a b))(a (a (a a)))) REDUCED to normal form. ------ 64324/5084922. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 64325/5084949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a) a))) 7. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 8. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 64326/5085174. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64327/5085363. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) c)) 3. ==[ beta ]==> ((b a)((^y.(y y)) c)) 4. ==[ alpha ]==> ((b a)((^x.(x x)) c)) 5. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 64328/5085426. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 64329/5085453. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.a))) REDUCED to normal form. ------ 64330/5085507. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 64331/5085525. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 64332/5085534. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 64333/5085561. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 64334/5085588. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 64335/5085633. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a)) b)) REDUCED to normal form. ------ 64336/5085705. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a (a a)))) 5. ==[ beta ]==> ((a (a a))(b (a (a a)))) REDUCED to normal form. ------ 64337/5085732. ------ 1. ==[ start ]==> (((a (a a))(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.x))) REDUCED to normal form. ------ 64338/5085759. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(a a))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 64339/5085786. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 64340/5085813. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 64341/5085840. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 64342/5085912. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64343/5085930. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64344/5086011. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a) b)) 5. ==[ beta ]==> ((a a)(((^z.z) a) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 64345/5086092. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 64346/5086200. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64347/5086209. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 64348/5086227. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64349/5086236. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 64350/5086254. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 64351/5086308. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y)) b)) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y)) b)) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 64352/5086317. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 64353/5086344. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64354/5086389. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64355/5086398. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 64356/5086425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 64357/5086452. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 64358/5086497. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64359/5086506. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 64360/5086524. ------ 1. ==[ start ]==> ((a (^b.b))((a a) b)) 2. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 64361/5086542. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 64362/5086569. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(a a))) REDUCED to normal form. ------ 64363/5086596. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 64364/5086623. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a b)) 3. ==[ beta ]==> (((a (a a))(a a))(a b)) REDUCED to normal form. ------ 64365/5086650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (a a))) 3. ==[ beta ]==> (((^y.y)(a b))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (a a))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 64366/5086677. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 64367/5092200. ------ 1. ==[ start ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 64368/5092224. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64369/5092305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64370/5092350. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b (^z.(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 64371/5092809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))(((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 5. ==[ beta ]==> (b (((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (b (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (b (b ((^x1.b)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.(^z.z))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 64372/5093034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64373/5093541. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 64374/5093925. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 64375/5094105. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(a a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64376/5094315. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64377/5094567. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64378/5094792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (^y.((^z.z)(a a))) 8. ==[ alpha ]==> (^x.((^y.y)(a a))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 64379/5095017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 64380/5095242. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 64381/5096025. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.b))) REDUCED to normal form. ------ 64382/5096130. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a (a a)))) 3. ==[ eta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64383/5096493. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 64384/5096781. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64385/5096916. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64386/5096967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^x1.a)(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 64387/5097141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (b (^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 64388/5097393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64389/5097474. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.c)) REDUCED to normal form. ------ 64390/5097570. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64391/5097591. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64392/5097645. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64393/5097672. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 64394/5097699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 64395/5097726. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 64396/5097756. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 64397/5097783. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 64398/5097810. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 64399/5097837. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 64400/5097882. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 64401/5097891. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64402/5097927. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 64403/5097954. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 64404/5097981. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 64405/5098017. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 64406/5098035. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 64407/5098044. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 64408/5098116. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 64409/5098197. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 64410/5098224. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 64411/5098314. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 64412/5098341. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 64413/5098485. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 64414/5098521. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 64415/5098539. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a a))) REDUCED to normal form. ------ 64416/5098566. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 64417/5098701. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64418/5098728. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 64419/5098782. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b a))) 5. ==[ beta ]==> ((^y.y)((a a)(b a))) 6. ==[ alpha ]==> ((^x.x)((a a)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 64420/5098818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.y))) 5. ==[ beta ]==> (a ((b a)(^y.y))) 6. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 64421/5098845. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64422/5098872. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.a))) REDUCED to normal form. ------ 64423/5098899. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 64424/5098926. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 64425/5098989. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 64426/5099016. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 64427/5099043. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 64428/5099070. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b a)) REDUCED to normal form. ------ 64429/5099322. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 64430/5099376. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(a a))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 64431/5099385. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 64432/5099412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64433/5099457. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 64434/5099583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 64435/5099628. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 64436/5099637. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 64437/5099790. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.b))) REDUCED to normal form. ------ 64438/5099817. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 64439/5099844. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 64440/5099898. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 64441/5099925. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b) c)) REDUCED to normal form. ------ 64442/5100042. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 64443/5100069. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 64444/5100195. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a) d)) 2. ==[ alpha ]==> (((^x.b) b)((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64445/5100240. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64446/5100267. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 64447/5100321. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 64448/5100411. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 64449/5100438. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(^y.(y y))) 8. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 64450/5100465. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 64451/5100492. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.a))) REDUCED to normal form. ------ 64452/5100546. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 64453/5100573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) a)) 7. ==[ beta ]==> ((((^y.y)(a a)) a)(((^y.y)(a a)) a)) 8. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) a)) 9. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) a)) 10. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) a)) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 64454/5100600. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b) b)) REDUCED to normal form. ------ 64455/5100627. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 64456/5100690. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 64457/5100717. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 64458/5100744. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 64459/5100771. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 64460/5100843. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64461/5100942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 64462/5101086. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 64463/5101113. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 64464/5101194. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b) a)) REDUCED to normal form. ------ 64465/5101221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.b))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a) b)) REDUCED to normal form. ------ 64466/5101320. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 64467/5101383. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 64468/5101527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 7. ==[ beta ]==> ((^y.y)(b (^z.a))) 8. ==[ alpha ]==> ((^x.x)(b (^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 64469/5101554. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 64470/5101581. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a b) a)((^y.a)(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(a a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 64471/5101608. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 64472/5101635. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 64473/5101662. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 64474/5101833. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 64475/5101896. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 64476/5101941. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((b a)((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((b a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 64477/5101968. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64478/5102022. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 64479/5102085. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 64480/5102112. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 64481/5102139. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 64482/5102166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64483/5102229. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(b a))(^y.y)) 6. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 64484/5102256. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 64485/5102283. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 64486/5102310. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 64487/5102391. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.a))) REDUCED to normal form. ------ 64488/5102418. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 64489/5102445. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 64490/5102490. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64491/5102499. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 64492/5102670. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 64493/5102787. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 64494/5102814. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 64495/5102832. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 64496/5102895. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 64497/5102922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a) c)) 5. ==[ beta ]==> ((^y.b)((a a) c)) 6. ==[ alpha ]==> ((^x.b)((a a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64498/5102967. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 64499/5102976. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64500/5103030. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 64501/5103084. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1)) a)) REDUCED to normal form. ------ 64502/5103102. ------ 1. ==[ start ]==> ((a (^b.b))(b (a a))) 2. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 64503/5103120. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 64504/5103147. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.y))) REDUCED to normal form. ------ 64505/5103174. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 64506/5103201. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 64507/5103228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 64508/5103255. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 64509/5108967. ------ 1. ==[ start ]==> (((a a) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 64510/5108985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64511/5109063. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64512/5109306. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 64513/5109588. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 64514/5109858. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(b a))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(b a))) REDUCED to normal form. ------ 64515/5110188. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((((a a)(^y.y)) b)(((a a)(^y.y)) b))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((((a a)(^x.x)) b)(((a a)(^y.y)) b))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 64516/5110425. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(y y))) b) 4. ==[ beta ]==> ((a (^y.(y y))) b) 5. ==[ alpha ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 64517/5110701. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.z)) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 64518/5110929. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 64519/5111088. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.a))((^z.(z z))(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.a))((^x1.(x1 x1))(^y1.a)))) 5. ==[ beta ]==> (^x.(((^z.a)(^z.a))((^x1.(x1 x1))(^y1.a)))) 6. ==[ alpha ]==> (^x.(((^y.a)(^z.a))((^x1.(x1 x1))(^y1.a)))) 7. ==[ beta ]==> (^x.(a ((^x1.(x1 x1))(^y1.a)))) 8. ==[ alpha ]==> (^x.(a ((^y.(y y))(^z.a)))) 9. ==[ beta ]==> (^x.(a ((^z.a)(^z.a)))) 10. ==[ alpha ]==> (^x.(a ((^y.a)(^z.a)))) 11. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 64520/5112252. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(a a))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 64521/5112450. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z b))) REDUCED to normal form. ------ 64522/5112726. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.(z z)))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 64523/5112963. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((y y) y))) REDUCED to normal form. ------ 64524/5113098. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 64525/5113275. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64526/5113563. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 64527/5113737. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 64528/5113845. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64529/5114142. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64530/5114166. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64531/5114241. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 64532/5114295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.a)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.a)) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 64533/5114322. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 64534/5114370. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a) a))) 3. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 64535/5114397. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 64536/5114424. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 64537/5114451. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 64538/5114478. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 64539/5114496. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64540/5114505. ------ 1. ==[ start ]==> (((a a) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 64541/5114523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 64542/5114550. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64543/5114604. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 64544/5114622. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 64545/5114649. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 64546/5114685. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 64547/5114712. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64548/5114766. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64549/5114793. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64550/5114847. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 64551/5114865. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a) b)) 3. ==[ beta ]==> (((a a) a)((b a) b)) REDUCED to normal form. ------ 64552/5114955. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64553/5114982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 64554/5115036. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 9. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64555/5115063. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 64556/5115099. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (b a))) REDUCED to normal form. ------ 64557/5115126. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 64558/5115153. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(a a))) REDUCED to normal form. ------ 64559/5115261. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((b b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 64560/5115396. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(b a))) REDUCED to normal form. ------ 64561/5115522. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 64562/5115594. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 64563/5115621. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 64564/5115702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a) a)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) a)) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 64565/5115729. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 64566/5115765. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64567/5115819. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64568/5115900. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 64569/5115936. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 64570/5115963. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (b a))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (b a))) REDUCED to normal form. ------ 64571/5115990. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 64572/5116017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64573/5116044. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a b) a)) REDUCED to normal form. ------ 64574/5116242. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 64575/5116251. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 64576/5116413. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64577/5116440. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 64578/5116467. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 64579/5116521. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 64580/5116602. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64581/5116629. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 64582/5116755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a)) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) b)) 7. ==[ beta ]==> (a ((^y.(a a)) b)) 8. ==[ alpha ]==> (a ((^x.(a a)) b)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 64583/5116782. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 64584/5116800. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 64585/5116809. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(a a))((^x.a) d)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 64586/5116926. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 64587/5117007. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64588/5117061. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 64589/5117088. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64590/5117142. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64591/5117223. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64592/5117403. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) a)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 64593/5117430. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.b) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b) b)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 64594/5117448. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 64595/5117457. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 64596/5117547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 64597/5117682. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64598/5117763. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 64599/5117790. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 64600/5117925. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64601/5117934. ------ 1. ==[ start ]==> (((a b)(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 64602/5117961. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 64603/5117988. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 64604/5118051. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 64605/5118186. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 64606/5118213. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 64607/5118240. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.a))) REDUCED to normal form. ------ 64608/5118267. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(x x)))) REDUCED to normal form. ------ 64609/5118357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.a)(^y.y))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64610/5118438. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64611/5118501. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((a a) a))) REDUCED to normal form. ------ 64612/5118609. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 64613/5118627. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 64614/5118636. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 64615/5118708. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 64616/5118744. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c d)) 3. ==[ beta ]==> (((a a)(^y.a))(c d)) 4. ==[ alpha ]==> (((a a)(^x.a))(c d)) REDUCED to normal form. ------ 64617/5118816. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 64618/5118834. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a)) b)) REDUCED to normal form. ------ 64619/5118942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 64620/5118969. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(b b)) REDUCED to normal form. ------ 64621/5118996. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) c)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 64622/5119104. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 64623/5119113. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64624/5119194. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 64625/5119275. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 64626/5119383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64627/5119410. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 64628/5119437. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64629/5119491. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.y))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 64630/5119500. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 64631/5119527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)(b (a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64632/5119572. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (b (c (^x1.x1))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 64633/5119581. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 64634/5119608. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 64635/5119635. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c a)) REDUCED to normal form. ------ 64636/5119680. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64637/5119707. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 64638/5119725. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 64639/5119752. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 64640/5119779. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 64641/5119806. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.x))) REDUCED to normal form. ------ 64642/5119833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a) a)) 3. ==[ beta ]==> (((^y.y)(a b))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((a a) a)) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 64643/5119860. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 64644/5119886. ------ 1. ==[ start ]==> (^a.((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((x b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.((x b)(^z.z))) 4. ==[ alpha ]==> (^x.((x b)(^y.y))) REDUCED to normal form. ------ 64645/5119887. ------ 1. ==[ start ]==> (a ((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (a ((a b)(^y.y))) 4. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 64646/5125428. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y))) a) 3. ==[ beta ]==> (((a b)(^y.y)) a) 4. ==[ alpha ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 64647/5125434. ------ 1. ==[ start ]==> ((^a.a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 64648/5125461. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 64649/5125488. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 64650/5125569. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a (^z.z))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 64651/5125617. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 64652/5125686. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 64653/5125914. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 64654/5125929. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 64655/5126211. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 64656/5126379. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64657/5126508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 64658/5127813. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 64659/5127918. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 9. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 10. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 11. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 12. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 13. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 64660/5128263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.((^z.z)(a a)))(^y.((^z.z)(a a)))) 8. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64661/5128488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 64662/5128593. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(^x.x)) REDUCED to normal form. ------ 64663/5128884. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 64664/5129073. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 64665/5129586. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 64666/5129898. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64667/5130027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 64668/5130360. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 64669/5130477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 64670/5130720. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.z))) REDUCED to normal form. ------ 64671/5130774. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 64672/5130789. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64673/5130837. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 64674/5130918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.b)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.b)) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 64675/5130945. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 64676/5130972. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 64677/5130984. ------ 1. ==[ start ]==> ((a a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a a)((a b)(^y.y))) 4. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 64678/5131011. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 64679/5131038. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((a b)((^y.y)(a b))) 4. ==[ alpha ]==> ((a b)((^x.x)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 64680/5131092. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 64681/5131119. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 64682/5131137. ------ 1. ==[ start ]==> (((a a) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 64683/5131164. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 64684/5131182. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 64685/5131191. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 64686/5131209. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 64687/5131236. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 64688/5131272. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64689/5131317. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 64690/5131344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 64691/5131353. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 64692/5131380. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 64693/5131407. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 64694/5131434. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 64695/5131461. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 64696/5131479. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 64697/5131569. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 64698/5131650. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 64699/5131677. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 64700/5131704. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 64701/5131758. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64702/5131776. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 64703/5131821. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 64704/5131848. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a) a)) REDUCED to normal form. ------ 64705/5131875. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 64706/5131902. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 64707/5131929. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 64708/5132055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 64709/5132073. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 64710/5132100. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64711/5132136. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 64712/5132154. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 64713/5132163. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 64714/5132397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((^y.y)(a a)) c) 6. ==[ alpha ]==> (((^x.x)(a a)) c) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 64715/5132487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64716/5132514. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 64717/5132568. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 64718/5132712. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 64719/5132739. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 64720/5132766. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 64721/5132793. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a (a a)) a)(a (a b))) REDUCED to normal form. ------ 64722/5132820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 64723/5132847. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 64724/5132883. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 64725/5132964. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 64726/5133027. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((((a a) a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 64727/5133045. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 64728/5133054. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 64729/5133072. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 64730/5133081. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 64731/5133135. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64732/5133153. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 64733/5133162. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 64734/5133189. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 64735/5133243. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 64736/5133333. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 64737/5133360. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 64738/5133387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (a (((^y.y)(a a))(a a))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(a a))) 9. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 64739/5133414. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 64740/5133441. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))(((a a) a) a)) REDUCED to normal form. ------ 64741/5133468. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 64742/5133639. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 64743/5133648. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 64744/5133693. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 64745/5133702. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 64746/5133720. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 64747/5133729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 64748/5133774. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 11. ==[ beta ]==> ((a (^y.y))(^z.b)) 12. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 64749/5133783. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64750/5133810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 9. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 12. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 13. ==[ beta ]==> ((a a)((^y.y)(a a))) 14. ==[ alpha ]==> ((a a)((^x.x)(a a))) 15. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 64751/5133837. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 64752/5133855. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 64753/5133864. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 64754/5134008. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (a b))) REDUCED to normal form. ------ 64755/5134035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 64756/5134062. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(a a))) REDUCED to normal form. ------ 64757/5134089. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 64758/5134116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 64759/5134143. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 64760/5134314. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 64761/5134323. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 64762/5134350. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 64763/5134377. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 64764/5134422. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 64765/5134431. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a b)) REDUCED to normal form. ------ 64766/5134458. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 64767/5134476. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 64768/5134512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64769/5134539. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 64770/5134566. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 64771/5134620. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 64772/5134656. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 64773/5134683. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 64774/5134710. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a b))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a (a b))((a (a a)) a)) REDUCED to normal form. ------ 64775/5134737. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 64776/5134764. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.x))(^z.z)) 12. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 64777/5134791. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 64778/5134989. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a) a)) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 64779/5135133. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 64780/5135178. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 64781/5135241. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 64782/5135268. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 64783/5135322. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64784/5135340. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 64785/5135349. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 64786/5135376. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 64787/5135403. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 64788/5135448. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 64789/5135547. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (a (a a)))) REDUCED to normal form. ------ 64790/5135574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 64791/5135601. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 64792/5135628. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 64793/5135655. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a (^x.x)) a)) REDUCED to normal form. ------ 64794/5135682. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 64795/5135727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64796/5135745. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64797/5135826. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a)) a)) 5. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 64798/5136024. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(z z)))) REDUCED to normal form. ------ 64799/5136042. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 64800/5136051. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 64801/5136069. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64802/5136123. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a) a)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a) a)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) a)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 64803/5136132. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 64804/5136159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64805/5136204. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (b ((^x1.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 64806/5136213. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 64807/5136240. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 64808/5136267. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 64809/5136312. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64810/5136321. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 64811/5136339. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 64812/5136357. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 64813/5136384. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (a (^y.y)))) REDUCED to normal form. ------ 64814/5136411. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 64815/5136438. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b a)) 3. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 64816/5136465. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a b)) 3. ==[ beta ]==> (((^y.y)(a b))(a b)) 4. ==[ alpha ]==> (((^x.x)(a b))(a b)) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 64817/5136492. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 64818/5136519. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a a)) 3. ==[ beta ]==> (((a b)(^y.y))(a a)) 4. ==[ alpha ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 64819/5141886. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.c)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64820/5142069. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y))) b) 3. ==[ beta ]==> (((a b)(^y.y)) b) 4. ==[ alpha ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 64821/5142093. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64822/5142174. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64823/5142408. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64824/5142678. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(z z)))(((^y.(a a))(^z.(z z)))((^y.(a a))(^z.(z z))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))(((^z.(a a))(^x1.(x1 x1)))((^y1.(a a))(^z1.(z1 z1))))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.(x1 x1)))((^y1.(a a))(^z1.(z1 z1))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1))))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.(x1 x1))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.(y y))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 64825/5142879. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 64826/5142903. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64827/5143437. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(z a))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y a))) 5. ==[ beta ]==> ((a a)(^y.(y a))) 6. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 64828/5143716. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y) a)) b) 4. ==[ beta ]==> ((((^y.y) a)((^y.y) a)) b) 5. ==[ alpha ]==> ((((^x.x) a)((^y.y) a)) b) 6. ==[ beta ]==> ((a ((^y.y) a)) b) 7. ==[ alpha ]==> ((a ((^x.x) a)) b) 8. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 64829/5143794. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 64830/5144463. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64831/5145138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 64832/5145534. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.b))) REDUCED to normal form. ------ 64833/5145921. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.b))) REDUCED to normal form. ------ 64834/5145999. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))((^z.z) a))) 3. ==[ eta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 64835/5146677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64836/5146836. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^x1.(x1 x1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 64837/5147307. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.b)((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 64838/5147370. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.c)) REDUCED to normal form. ------ 64839/5147439. ------ 1. ==[ start ]==> ((^a.(^b.b))(a c)) 2. ==[ alpha ]==> ((^x.(^y.y))(a c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64840/5147442. ------ 1. ==[ start ]==> ((a (^b.b))(^a.c)) 2. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 64841/5147487. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64842/5147541. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64843/5147568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(a a))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 64844/5147595. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 64845/5147622. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64846/5147652. ------ 1. ==[ start ]==> ((a (^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 64847/5147679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 64848/5147706. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a a)((^y.y)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 64849/5147733. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 64850/5147787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64851/5147814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 64852/5147850. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 64853/5147877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 64854/5147931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 64855/5147940. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 64856/5147967. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 64857/5148012. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.b)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 64858/5148039. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 64859/5148066. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 64860/5148120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 64861/5148156. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 64862/5148237. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 64863/5148435. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 64864/5148444. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64865/5148462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 64866/5148597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64867/5148624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 64868/5148678. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 64869/5148741. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 64870/5148768. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64871/5148795. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 64872/5148822. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 64873/5148849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 64874/5148885. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 64875/5148912. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 64876/5148939. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 64877/5148966. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 64878/5148993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 64879/5149272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (b a))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (b a))) 7. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 64880/5149335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 64881/5149353. ------ 1. ==[ start ]==> ((a (^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))((a b) a)) REDUCED to normal form. ------ 64882/5149506. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 64883/5149686. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 64884/5149713. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b) a)(a (^y.b))) 4. ==[ alpha ]==> (((a b) a)(a (^x.b))) REDUCED to normal form. ------ 64885/5149740. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 64886/5149794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 64887/5149821. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 64888/5149848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b) c)) 5. ==[ beta ]==> ((^y.a)((a b) c)) 6. ==[ alpha ]==> ((^x.a)((a b) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 64889/5149938. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 64890/5149965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 64891/5149992. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 64892/5150091. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64893/5150136. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 64894/5150163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 64895/5150217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a b))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 7. ==[ beta ]==> ((a (^y.y))(a b)) 8. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 64896/5150307. ------ 1. ==[ start ]==> (((a b) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 64897/5150334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 64898/5150361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 64899/5150388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 64900/5150442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 64901/5150469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(a a)))) 7. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^y.(a a)))) 8. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 64902/5150496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) a)) REDUCED to normal form. ------ 64903/5150523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 64904/5150586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 64905/5150613. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 64906/5150640. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 64907/5150667. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 64908/5150694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.(a a))) 8. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 64909/5150739. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 64910/5150838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 64911/5150982. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) c)(^y.a)) 6. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 64912/5151009. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 64913/5151036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 64914/5151090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.b))) REDUCED to normal form. ------ 64915/5151117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b) a)) 3. ==[ beta ]==> ((a (^y.b))((a b) a)) 4. ==[ alpha ]==> ((a (^x.b))((a b) a)) REDUCED to normal form. ------ 64916/5151171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64917/5151450. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 64918/5151477. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.b))) 3. ==[ beta ]==> (((a b) a)(a (^y.b))) 4. ==[ alpha ]==> (((a b) a)(a (^x.b))) REDUCED to normal form. ------ 64919/5151531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 64920/5151558. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (b a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (b a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 64921/5151837. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((b a)((^y.y)(a a))) 6. ==[ alpha ]==> ((b a)((^x.x)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 64922/5151864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 64923/5151918. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 64924/5151981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64925/5152008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 64926/5152035. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 64927/5152062. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 64928/5152125. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 64929/5152152. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 64930/5152179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 64931/5152206. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 64932/5152233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 64933/5152341. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 64934/5152386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64935/5152395. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 64936/5152566. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (b (b ((^x1.x1) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 64937/5152674. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64938/5152710. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 64939/5152728. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 64940/5152791. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 64941/5152818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z)) b)) 5. ==[ beta ]==> ((^y.b)((a (^z.z)) b)) 6. ==[ alpha ]==> ((^x.b)((a (^y.y)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 64942/5152863. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (b (a ((^x1.x1) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 64943/5152872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 64944/5152899. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 64945/5152926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) c) REDUCED to normal form. ------ 64946/5152971. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64947/5152980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 64948/5152998. ------ 1. ==[ start ]==> ((a (^b.b))(a c)) 2. ==[ alpha ]==> ((a (^x.x))(a c)) REDUCED to normal form. ------ 64949/5153016. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 64950/5153043. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 64951/5153070. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 64952/5153097. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 64953/5153124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a a))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 64954/5153151. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 64955/5153178. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 64956/5153694. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 64957/5157663. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64958/5158554. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64959/5158737. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a))) c) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y))) c) 3. ==[ beta ]==> (((a b)(^y.y)) c) 4. ==[ alpha ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 64960/5158962. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64961/5159085. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 64962/5159256. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 64963/5159259. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 64964/5159556. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 64965/5159565. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 64966/5159853. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 64967/5160138. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((b a) a)) 3. ==[ beta ]==> ((((b a) a)((b a) a))((b a) a)) REDUCED to normal form. ------ 64968/5160402. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 64969/5160645. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 64970/5161038. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64971/5162676. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.a))) 3. ==[ eta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 64972/5162769. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((a a) a))) 5. ==[ beta ]==> (b (^z.((a a) a))) 6. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 64973/5163225. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 64974/5163228. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 64975/5163513. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 64976/5163606. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a (a a)))) 5. ==[ beta ]==> ((a a)(^z.(a (a a)))) 6. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 64977/5163822. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 64978/5163903. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))(^y.((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 64979/5163984. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 64980/5163993. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 64981/5164047. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 64982/5164116. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 64983/5164119. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 64984/5164164. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.b)) REDUCED to normal form. ------ 64985/5164218. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 64986/5164245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 64987/5164299. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 64988/5164347. ------ 1. ==[ start ]==> (((^a.a) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (a ((a b)(^y.y))) 6. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 64989/5164374. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 64990/5164401. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 64991/5164428. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 64992/5164455. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 64993/5164482. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(b a))) REDUCED to normal form. ------ 64994/5164500. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 64995/5164509. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 64996/5164527. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 64997/5164554. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 64998/5164599. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 64999/5164626. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 65000/5164653. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 65001/5164662. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 65002/5164743. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 65003/5164770. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65004/5164824. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 65005/5164842. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 65006/5164869. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) b)) REDUCED to normal form. ------ 65007/5164932. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.(a a))(^z.(z z)))((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65008/5164959. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65009/5165013. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65010/5165040. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 65011/5165067. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65012/5165076. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 65013/5165103. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 65014/5165121. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65015/5165130. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 65016/5165238. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(a (a a)))) 3. ==[ beta ]==> ((b b)((a b)(a (a a)))) REDUCED to normal form. ------ 65017/5165373. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 65018/5165400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)(b a))) 3. ==[ beta ]==> (((^y.y) a)((a a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(b a))) 5. ==[ beta ]==> (a ((a a)(b a))) REDUCED to normal form. ------ 65019/5165418. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65020/5165499. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 65021/5165598. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(^y.b))) REDUCED to normal form. ------ 65022/5165625. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 65023/5165706. ------ 1. ==[ start ]==> ((a ((a a) a))((b a) a)) REDUCED to normal form. ------ 65024/5165742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65025/5165796. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 65026/5165877. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 65027/5165904. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65028/5165913. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(c (a a))) REDUCED to normal form. ------ 65029/5165940. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 65030/5165967. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (b a))) REDUCED to normal form. ------ 65031/5165994. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65032/5166021. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 65033/5166210. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 65034/5166309. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 65035/5166390. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (b ((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 65036/5166417. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a b))) 3. ==[ beta ]==> ((a b)((^y.a)(a b))) 4. ==[ alpha ]==> ((a b)((^x.a)(a b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 65037/5166444. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65038/5166579. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65039/5166606. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 65040/5166759. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 65041/5166777. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(a (^y.y)))) 3. ==[ beta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 65042/5166786. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.b) c)) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 65043/5166903. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.b))) 5. ==[ beta ]==> ((^y.y)(c (^y1.b))) 6. ==[ alpha ]==> ((^x.x)(c (^y.b))) 7. ==[ beta ]==> (c (^y.b)) 8. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 65044/5166984. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (b ((^x1.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65045/5167065. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65046/5167119. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 11. ==[ beta ]==> ((^y.a)((a a) a)) 12. ==[ alpha ]==> ((^x.a)((a a) a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 65047/5167200. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65048/5167407. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a)) a)) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 65049/5167425. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 65050/5167434. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b) b)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 65051/5167659. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65052/5167740. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 65053/5167767. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65054/5167821. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 65055/5167902. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 65056/5167965. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((a a) a))) REDUCED to normal form. ------ 65057/5168001. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 65058/5168055. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 65059/5168190. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 65060/5168217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 65061/5168244. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 65062/5168334. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((a a) a))) 5. ==[ beta ]==> (b ((^z.z)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 65063/5168415. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65064/5168478. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 65065/5168586. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 65066/5168604. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.(x x)))) REDUCED to normal form. ------ 65067/5168613. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 65068/5168685. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65069/5168793. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 65070/5168811. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a a)(b a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(b a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 65071/5168838. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 65072/5168946. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 65073/5168973. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(b b)) REDUCED to normal form. ------ 65074/5169000. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a) c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a) c)) 5. ==[ beta ]==> (((a a) a)((^y.a) c)) 6. ==[ alpha ]==> (((a a) a)((^x.a) c)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 65075/5169081. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 65076/5169090. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65077/5169171. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 65078/5169252. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65079/5169360. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65080/5169369. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 65081/5169387. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 65082/5169414. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65083/5169468. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 10. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 11. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 65084/5169504. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (a a))) 5. ==[ beta ]==> ((^y.b)(c (a a))) 6. ==[ alpha ]==> ((^x.b)(c (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65085/5169549. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 65086/5169558. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 65087/5169585. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 65088/5169612. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a (^z.z)))) REDUCED to normal form. ------ 65089/5169657. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65090/5169666. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b b)) REDUCED to normal form. ------ 65091/5169684. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 65092/5169702. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 65093/5169729. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a) b)) REDUCED to normal form. ------ 65094/5169756. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 65095/5169783. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 65096/5169810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.y))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 65097/5169837. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 65098/5169864. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 65099/5169890. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(x (x x)))) 3. ==[ beta ]==> (^x.((x x)(x (x x)))) REDUCED to normal form. ------ 65100/5169891. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 65101/5171784. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.((a a)(^z.z))) b) 4. ==[ alpha ]==> ((^x.((a a)(^y.y))) b) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65102/5175249. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65103/5175459. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a))) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a))) a) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 65104/5175465. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 65105/5175492. ------ 1. ==[ start ]==> ((^a.(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 8. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 65106/5175519. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 65107/5175600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^z.z) a)((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 65108/5175675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65109/5175717. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 65110/5175960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 65111/5176269. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 65112/5176284. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65113/5176410. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65114/5176566. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 65115/5177175. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 65116/5177355. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(^y.y))) b) 4. ==[ alpha ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 65117/5177358. ------ 1. ==[ start ]==> ((a (a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 65118/5177619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 65119/5177871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (a (^y.((y y)(^z.z)))) 8. ==[ alpha ]==> (a (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 65120/5177949. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((((a a) a)((^z.z) a))(((a a) a)((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 5. ==[ beta ]==> ((((a a) a)((^y.y) a))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a) a)(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a) a)(((a a) a)((^x.x) a))) 9. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 65121/5178321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 65122/5178546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 65123/5178624. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))((^y1.y1) a))(((^z.z)(^x1.x1))((^y1.y1) a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a)))(^z1.z1)) 7. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))(^z1.z1)) 8. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a)))(^y1.y1)) 9. ==[ beta ]==> ((a (((^y.y)(^z.z))((^x1.x1) a)))(^y1.y1)) 10. ==[ alpha ]==> ((a (((^x.x)(^y.y))((^z.z) a)))(^x1.x1)) 11. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))(^x1.x1)) 12. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))(^z.z)) 13. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 14. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 15. ==[ beta ]==> ((a a)(^y.y)) 16. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65124/5178942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.b)) a) 4. ==[ beta ]==> ((a (^y.b)) a) 5. ==[ alpha ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 65125/5179140. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y b))) REDUCED to normal form. ------ 65126/5179302. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a b) a)(^y.((a a) a))) 4. ==[ alpha ]==> (((a b) a)(^x.((a a) a))) REDUCED to normal form. ------ 65127/5179473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> (b (^z.(^x1.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 65128/5179806. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 65129/5179929. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65130/5180085. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 65131/5180211. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65132/5180310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 65133/5180535. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 65134/5180616. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 65135/5180688. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65136/5180697. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 65137/5180820. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65138/5180823. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65139/5180895. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 65140/5180976. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.b)) REDUCED to normal form. ------ 65141/5181003. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 65142/5181030. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.y)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 65143/5181042. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 65144/5181069. ------ 1. ==[ start ]==> ((a (a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 65145/5181096. ------ 1. ==[ start ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 65146/5181150. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 65147/5181177. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 65148/5181195. ------ 1. ==[ start ]==> (((a a) b)(c (^d.a))) 2. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 65149/5181222. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 65150/5181249. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 65151/5181267. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 65152/5181276. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 65153/5181294. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 65154/5181330. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65155/5181375. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 65156/5181411. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 65157/5181438. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65158/5181456. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> (a ((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 65159/5181465. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 65160/5181492. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 65161/5181519. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 65162/5181537. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 65163/5181708. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 65164/5181735. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 65165/5181762. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 65166/5181789. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 65167/5181843. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65168/5181861. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65169/5181879. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 65170/5181906. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 65171/5181933. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 65172/5181960. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 65173/5181987. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 65174/5182086. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 65175/5182140. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 65176/5182158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 65177/5182194. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 65178/5182212. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 65179/5182221. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 65180/5182248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 7. ==[ beta ]==> ((^y.b)(a (a a))) 8. ==[ alpha ]==> ((^x.b)(a (a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 65181/5182455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 65182/5182545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65183/5182572. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 65184/5182626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 65185/5182752. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 65186/5182770. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a b) a)) REDUCED to normal form. ------ 65187/5182797. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 65188/5182824. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a (a a)))(^y.y)) 10. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 65189/5182851. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 65190/5182878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 65191/5182905. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 65192/5182923. ------ 1. ==[ start ]==> (((^a.b) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 65193/5182932. ------ 1. ==[ start ]==> ((a (a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 65194/5183022. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.a))) IRREDUCIBLE: cycle. ------ 65195/5183085. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 65196/5183103. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 65197/5183112. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a b) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 65198/5183130. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a b)(a (^y.b))) 6. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 65199/5183139. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 65200/5183157. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 65201/5183193. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 65202/5183211. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 65203/5183247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65204/5183274. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 65205/5183301. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 65206/5183418. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (a a))) REDUCED to normal form. ------ 65207/5183445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)(a ((a a)(^y.y)))) 7. ==[ beta ]==> (a (a ((a a)(^y.y)))) 8. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 65208/5183472. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 65209/5183499. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 65210/5183526. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 65211/5183535. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) d)) 3. ==[ beta ]==> ((^y.(a a))((^z.a) d)) 4. ==[ alpha ]==> ((^x.(a a))((^y.a) d)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65212/5183697. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 65213/5183706. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 65214/5183733. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 65215/5183751. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.a))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.a))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 65216/5183760. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 65217/5183778. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 65218/5183787. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 65219/5183841. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 65220/5183868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65221/5183895. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 65222/5183913. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (b (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 65223/5183922. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 65224/5183949. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 65225/5184093. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a b))) 5. ==[ beta ]==> ((a (a a))(b (a b))) REDUCED to normal form. ------ 65226/5184120. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 65227/5184147. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 65228/5184174. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 65229/5184201. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 65230/5184372. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 65231/5184381. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 65232/5184408. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 65233/5184435. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 65234/5184453. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 65235/5184489. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 65236/5184516. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 65237/5184534. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b) a)) REDUCED to normal form. ------ 65238/5184570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65239/5184597. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65240/5184624. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 65241/5184651. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 65242/5184714. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 65243/5184741. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 65244/5184768. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (a b))(a (^y.y))) 8. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 65245/5184795. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 65246/5184822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 9. ==[ beta ]==> (((^y.y) a)(a (a a))) 10. ==[ alpha ]==> (((^x.x) a)(a (a a))) 11. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 65247/5184849. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 65248/5184876. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)((a a) a))) 3. ==[ beta ]==> (((a b) a)((a a)((a a) a))) REDUCED to normal form. ------ 65249/5185047. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.a))) 5. ==[ beta ]==> (b ((a a)(^z.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 65250/5185128. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 65251/5185191. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 65252/5185236. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a) a)) 3. ==[ beta ]==> ((b a)((^y.a) a)) 4. ==[ alpha ]==> ((b a)((^x.a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 65253/5185263. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65254/5185326. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 65255/5185380. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 65256/5185398. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65257/5185407. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65258/5185434. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 65259/5185461. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 65260/5185506. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65261/5185605. ------ 1. ==[ start ]==> (((a (a a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(c ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))(c a)) REDUCED to normal form. ------ 65262/5185632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (a (a a)))) 5. ==[ beta ]==> (((a a) a)(b (a (a a)))) REDUCED to normal form. ------ 65263/5185659. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 65264/5185686. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 65265/5185713. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)(a (a (^x.x)))) REDUCED to normal form. ------ 65266/5185740. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 65267/5185785. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65268/5185803. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65269/5185884. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 65270/5185965. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (b ((a (^x1.x1)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 65271/5186082. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.a))) REDUCED to normal form. ------ 65272/5186109. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 65273/5186127. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 65274/5186181. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 65275/5186190. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 65276/5186217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65277/5186262. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 65278/5186271. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 65279/5186325. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 65280/5186370. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65281/5186379. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 65282/5186397. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 65283/5186442. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (a a))) REDUCED to normal form. ------ 65284/5186469. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 65285/5186496. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 65286/5186523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b a)) 3. ==[ beta ]==> (((^y.y)(a b))(b a)) 4. ==[ alpha ]==> (((^x.x)(a b))(b a)) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 65287/5186550. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 65288/5186577. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (a a))) 3. ==[ beta ]==> (((a b)(^y.y))(a (a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 65289/5186604. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a a)) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 65290/5187435. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65291/5187993. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y a))) 3. ==[ beta ]==> (((^y.(y a))(^y.(y a)))(^y.(y a))) 4. ==[ alpha ]==> (((^x.(x a))(^y.(y a)))(^z.(z a))) 5. ==[ beta ]==> (((^y.(y a)) a)(^z.(z a))) 6. ==[ alpha ]==> (((^x.(x a)) a)(^y.(y a))) 7. ==[ beta ]==> ((a a)(^y.(y a))) 8. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 65292/5191368. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65293/5192181. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a))) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a))) b) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 65294/5192205. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65295/5192286. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65296/5192520. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(a (a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65297/5192712. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 65298/5193015. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65299/5193018. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 65300/5193573. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(b a))) 3. ==[ beta ]==> ((((^y.y)(b a))((^y.y)(b a)))((^y.y)(b a))) 4. ==[ alpha ]==> ((((^x.x)(b a))((^y.y)(b a)))((^z.z)(b a))) 5. ==[ beta ]==> (((b a)((^y.y)(b a)))((^z.z)(b a))) 6. ==[ alpha ]==> (((b a)((^x.x)(b a)))((^y.y)(b a))) 7. ==[ beta ]==> (((b a)(b a))((^y.y)(b a))) 8. ==[ alpha ]==> (((b a)(b a))((^x.x)(b a))) 9. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 65301/5193576. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(b a))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x a))) REDUCED to normal form. ------ 65302/5193906. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 65303/5194086. ------ 1. ==[ start ]==> ((^a.(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (^y.(^z.z))) b) 4. ==[ alpha ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 65304/5194098. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 65305/5194350. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65306/5194602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65307/5195052. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 65308/5195277. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 65309/5195673. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 65310/5195871. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 65311/5196060. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 65312/5196111. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65313/5196393. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((y y) y))) 3. ==[ beta ]==> ((b a)(^y.((y y) y))) 4. ==[ alpha ]==> ((b a)(^x.((x x) x))) REDUCED to normal form. ------ 65314/5196681. ------ 1. ==[ start ]==> (((a a)(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 65315/5196816. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65316/5196948. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65317/5196951. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65318/5197347. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 65319/5197428. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 65320/5197551. ------ 1. ==[ start ]==> ((^a.(^b.b))(b b)) 2. ==[ alpha ]==> ((^x.(^y.y))(b b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65321/5197572. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 65322/5197626. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65323/5197680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65324/5197707. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 65325/5197734. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 65326/5197761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65327/5197791. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 65328/5197818. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 65329/5197845. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 65330/5197872. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 65331/5197926. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65332/5197953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 65333/5197980. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 65334/5198016. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 65335/5198070. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 65336/5198106. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65337/5198151. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.a))) REDUCED to normal form. ------ 65338/5198178. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 65339/5198205. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 65340/5198295. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 65341/5198322. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65342/5198574. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (b a))) 3. ==[ beta ]==> (((a a)(a a))(b (b a))) REDUCED to normal form. ------ 65343/5198601. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 65344/5198736. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65345/5198763. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 65346/5198817. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 65347/5198871. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b a))) 5. ==[ beta ]==> ((^y.y)((a a)(b a))) 6. ==[ alpha ]==> ((^x.x)((a a)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 65348/5198907. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.z))) REDUCED to normal form. ------ 65349/5198934. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 65350/5198961. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 65351/5198988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 65352/5199051. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 65353/5199078. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 7. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 65354/5199105. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 65355/5199132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65356/5199159. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(b a))) 3. ==[ beta ]==> ((a ((a a) a))(b a)) REDUCED to normal form. ------ 65357/5199411. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(b ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 65358/5199492. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 65359/5199672. ------ 1. ==[ start ]==> ((a (a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 65360/5199681. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.b)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 65361/5199825. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 65362/5199852. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 65363/5199879. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.b))) REDUCED to normal form. ------ 65364/5199933. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 65365/5199960. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 65366/5199987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65367/5200014. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 65368/5200077. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 65369/5200131. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 65370/5200158. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 65371/5200230. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65372/5200275. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65373/5200302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 65374/5200356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((^y.y) a)((a a) a)) 8. ==[ alpha ]==> (((^x.x) a)((a a) a)) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 65375/5200446. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 65376/5200473. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 65377/5200500. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 65378/5200527. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z z))) REDUCED to normal form. ------ 65379/5200581. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 65380/5200608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.b))) 7. ==[ beta ]==> (((a (^y.y))(^z.b))((a (^y.y))(^z.b))) 8. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 65381/5200635. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 65382/5200662. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 65383/5200689. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 65384/5200752. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 65385/5200779. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a) a))(^y.y)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 65386/5200806. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 65387/5200833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 65388/5200860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(a a))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(a a))) REDUCED to normal form. ------ 65389/5200878. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65390/5200977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 65391/5201121. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 65392/5201148. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) b)(^y.a)) 8. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 65393/5201175. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 65394/5201229. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 65395/5201256. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.b))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 65396/5201310. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65397/5201454. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.b)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 65398/5201616. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.a))) 3. ==[ beta ]==> (((a b) a)(b (^y.a))) 4. ==[ alpha ]==> (((a b) a)(b (^x.a))) REDUCED to normal form. ------ 65399/5201643. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 65400/5201697. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 65401/5201976. ------ 1. ==[ start ]==> (((^a.a)(b a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(a ((a a) a))) 3. ==[ beta ]==> ((b a)(a ((a a) a))) REDUCED to normal form. ------ 65402/5202003. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65403/5202039. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(c c)) REDUCED to normal form. ------ 65404/5202057. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 7. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 65405/5202147. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65406/5202174. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 65407/5202201. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 65408/5202264. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(b a))(^y.y)) 6. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 65409/5202291. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 65410/5202318. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 65411/5202345. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 65412/5202372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 65413/5202399. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 65414/5202534. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 65415/5202705. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (b (c (a (^x1.x1)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 65416/5202813. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65417/5202840. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 65418/5202921. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b c)) 7. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 65419/5202930. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 65420/5202957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) a)) 5. ==[ beta ]==> ((^y.b)(((^z.z) a) a)) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65421/5203002. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (b (b (a (^x1.x1)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 65422/5203011. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 65423/5203038. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 65424/5203065. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 65425/5203119. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 65426/5203137. ------ 1. ==[ start ]==> ((a (^b.b))(b b)) 2. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 65427/5203155. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 65428/5203182. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 65429/5203209. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 65430/5203236. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.x))) REDUCED to normal form. ------ 65431/5203263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 65432/5203290. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 65433/5203317. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 65434/5203344. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 65435/5204184. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65436/5209182. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65437/5209206. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65438/5209278. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 65439/5209449. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 65440/5209773. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65441/5209776. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 65442/5210055. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 65443/5210073. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65444/5210622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 4. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 5. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 6. ==[ beta ]==> ((^y.(^z.z)) b) 7. ==[ alpha ]==> ((^x.(^y.y)) b) 8. ==[ beta ]==> (^y.y) 9. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65445/5211126. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 65446/5211231. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(x1 x1)))((^z.a)(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(z z)))((^x1.a)(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(z z))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 65447/5211438. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.b) c)((^z.b) c))) 4. ==[ alpha ]==> ((^x.x)(((^y.b) c)((^z.b) c))) 5. ==[ beta ]==> (((^y.b) c)((^z.b) c)) 6. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 7. ==[ beta ]==> (b ((^y.b) c)) 8. ==[ alpha ]==> (b ((^x.b) c)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 65448/5211612. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65449/5211828. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 65450/5212053. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 65451/5212449. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x))((a a) a)) a) 4. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 65452/5212869. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 65453/5213151. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 65454/5213295. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65455/5213313. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 65456/5213418. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65457/5213439. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65458/5213718. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65459/5214042. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 65460/5214213. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.(y y)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65461/5214285. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65462/5214309. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65463/5214438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 65464/5214492. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.a)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 65465/5214519. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.a)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 65466/5214567. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (a (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 65467/5214594. ------ 1. ==[ start ]==> (((a a) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 65468/5214621. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 65469/5214648. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 65470/5214675. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 65471/5214702. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 65472/5214729. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(b a))) REDUCED to normal form. ------ 65473/5214747. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 65474/5214756. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 65475/5214774. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 65476/5214801. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 65477/5214819. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 65478/5214846. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 65479/5214873. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 65480/5214882. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 65481/5214909. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65482/5214963. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 65483/5214990. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65484/5215044. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65485/5215062. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 65486/5215089. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 65487/5215116. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a) b)) 3. ==[ beta ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 65488/5215179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65489/5215260. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 65490/5215287. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65491/5215350. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (b a))) REDUCED to normal form. ------ 65492/5215368. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65493/5215386. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65494/5215458. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((b b)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((b b)((a a)((^x.x) a))) 7. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 65495/5215593. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) b)(a (a a))) REDUCED to normal form. ------ 65496/5215620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 65497/5215647. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 65498/5215665. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65499/5215791. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 65500/5215845. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.b))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 65501/5215872. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 65502/5216016. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 65503/5216097. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 65504/5216124. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 65505/5216187. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 65506/5216214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65507/5216241. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 65508/5216277. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 65509/5216430. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 65510/5216448. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 65511/5216529. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 65512/5216610. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65513/5216637. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 65514/5216664. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65515/5216718. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 65516/5216799. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 65517/5216826. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 65518/5216997. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 65519/5217006. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 65520/5217033. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) c)) 3. ==[ beta ]==> ((a (a a))((^y.b) c)) 4. ==[ alpha ]==> ((a (a a))((^x.b) c)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 65521/5217204. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 65522/5217258. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 65523/5217285. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65524/5217339. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 13. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 14. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 15. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 16. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 17. ==[ beta ]==> ((^y.y)(^z.z)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65525/5217420. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65526/5217645. ------ 1. ==[ start ]==> (((^a.b) c)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 65527/5217654. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 65528/5217681. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 65529/5217879. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> (b ((^z.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 65530/5217960. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 65531/5217987. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65532/5218041. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 65533/5218122. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65534/5218248. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 65535/5218275. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a) b)) 3. ==[ beta ]==> ((a (a b))((^y.a) b)) 4. ==[ alpha ]==> ((a (a b))((^x.a) b)) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 65536/5218302. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 65537/5218437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 65538/5218464. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 65539/5218554. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65540/5218635. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65541/5218698. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (a (a a)))) REDUCED to normal form. ------ 65542/5218743. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 65543/5218806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 65544/5218833. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 65545/5218887. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 65546/5218905. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 65547/5219013. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 65548/5219031. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 65549/5219058. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 65550/5219085. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a)) b)) 5. ==[ beta ]==> ((a (a a))((a (a a)) b)) REDUCED to normal form. ------ 65551/5219112. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a) c)) 3. ==[ beta ]==> (((a (a a))(a b))(a c)) REDUCED to normal form. ------ 65552/5219193. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 65553/5219220. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(y y)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(x x)) b)) 7. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 65554/5219247. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 65555/5219292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65556/5219310. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65557/5219391. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65558/5219472. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65559/5219589. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 65560/5219607. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 65561/5219616. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 65562/5219634. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 65563/5219688. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 65564/5219697. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b c)) REDUCED to normal form. ------ 65565/5219769. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65566/5219778. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 65567/5219805. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 65568/5219832. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a a))) REDUCED to normal form. ------ 65569/5219877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65570/5219904. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 65571/5219922. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 65572/5219949. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y)) a)) REDUCED to normal form. ------ 65573/5219976. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 65574/5220003. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 65575/5220030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y) b)) 5. ==[ beta ]==> ((a b)((^y.y) b)) 6. ==[ alpha ]==> ((a b)((^x.x) b)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 65576/5220057. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 65577/5220084. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a) a)) 3. ==[ beta ]==> (((a b)(^y.y))((a a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 65578/5220111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 65579/5220137. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))((^z.z) x))) 3. ==[ beta ]==> (^x.(((x x)(^y.y)) x)) REDUCED to normal form. ------ 65580/5220138. ------ 1. ==[ start ]==> (a (((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 65581/5225733. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a)) a) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 65582/5225739. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 65583/5225766. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 65584/5225793. ------ 1. ==[ start ]==> ((^a.b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 65585/5225874. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 65586/5225976. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 65587/5225991. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 65588/5226579. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 65589/5226684. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65590/5226867. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 65591/5227449. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 65592/5227629. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))((^z.z)(a a))) b) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a))) b) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 65593/5227920. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 65594/5228172. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 65595/5228223. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a b)(a (^z.z)))((a b)(a (^z.z))))) 4. ==[ alpha ]==> ((^x.x)(((a b)(a (^y.y)))((a b)(a (^z.z))))) 5. ==[ beta ]==> (((a b)(a (^y.y)))((a b)(a (^z.z)))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 65596/5228406. ------ 1. ==[ start ]==> (((a b) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65597/5228613. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 65598/5228622. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 65599/5228838. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 65600/5228847. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 65601/5228898. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((((a a) a)(a (^z.z)))(((a a) a)(a (^z.z))))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y))))(^z.z)) REDUCED to normal form. ------ 65602/5229441. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(z b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y b))) REDUCED to normal form. ------ 65603/5230107. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 65604/5230203. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65605/5230386. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65606/5230491. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65607/5230917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65608/5230998. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 65609/5231070. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65610/5231079. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.x1))) REDUCED to normal form. ------ 65611/5231094. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65612/5231142. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.c)) REDUCED to normal form. ------ 65613/5231196. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 65614/5231223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(a a))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 65615/5231277. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 65616/5231304. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(y y))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 65617/5231331. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 65618/5231343. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 65619/5231370. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 65620/5231397. ------ 1. ==[ start ]==> ((a b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a b)((a b)(^y.y))) 4. ==[ alpha ]==> ((a b)((a b)(^x.x))) REDUCED to normal form. ------ 65621/5231451. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 65622/5231478. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 65623/5231550. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 65624/5231577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 65625/5231595. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 65626/5231676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 65627/5231703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 65628/5231712. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 65629/5231757. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (a ((^y.y)(^z.b))) 8. ==[ alpha ]==> (a ((^x.x)(^y.b))) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 65630/5231766. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 65631/5231784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 65632/5231793. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((^y1.y1)(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 65633/5231820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 65634/5232009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 65635/5232063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 65636/5232090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 65637/5232117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 65638/5232180. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 65639/5232207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(a a))) REDUCED to normal form. ------ 65640/5232234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 65641/5232261. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 65642/5232288. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 65643/5232468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 65644/5232513. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65645/5232549. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 8. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65646/5232756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 65647/5232810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a)) c)) 5. ==[ beta ]==> (a (((^z.z)(a a)) c)) 6. ==[ alpha ]==> (a (((^x.x)(a a)) c)) 7. ==[ beta ]==> (a ((a a) c)) REDUCED to normal form. ------ 65648/5232846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 65649/5232927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 65650/5232954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 65651/5232981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 65652/5233053. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 65653/5233071. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 65654/5233098. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 65655/5233125. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 65656/5233152. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a (a a)) a)(^y.y)) 10. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 65657/5233179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 65658/5233206. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a b))) REDUCED to normal form. ------ 65659/5233224. ------ 1. ==[ start ]==> (((^a.b) a)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 65660/5233233. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 65661/5233323. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 65662/5233386. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 65663/5233404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 65664/5233413. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 65665/5233431. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 65666/5233440. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 65667/5233458. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 65668/5233494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 65669/5233521. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 65670/5233548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65671/5233575. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 65672/5233593. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 65673/5233602. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 65674/5233746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (a (b ((^y.y)(a a)))) 8. ==[ alpha ]==> (a (b ((^x.x)(a a)))) 9. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 65675/5233773. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 65676/5233800. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 65677/5233827. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 65678/5233836. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.b) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.b) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65679/5233863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a) d)) 3. ==[ beta ]==> ((^y.y)((^x1.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65680/5234007. ------ 1. ==[ start ]==> (((a b) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 65681/5234034. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 65682/5234052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 65683/5234061. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 65684/5234079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 65685/5234088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 65686/5234133. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 11. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 12. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 65687/5234142. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 65688/5234169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a) a))) 7. ==[ beta ]==> (((^y.a)((a a) a))((^y.a)((a a) a))) 8. ==[ alpha ]==> (((^x.a)((a a) a))((^y.a)((a a) a))) 9. ==[ beta ]==> (a ((^y.a)((a a) a))) 10. ==[ alpha ]==> (a ((^x.a)((a a) a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65689/5234196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 65690/5234214. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 65691/5234223. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 65692/5234250. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 65693/5234421. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (a b))) 3. ==[ beta ]==> ((((a a) a) a)(b (a b))) REDUCED to normal form. ------ 65694/5234439. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 65695/5234448. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 65696/5234475. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 65697/5234502. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 65698/5234673. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 65699/5234682. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(a a))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 65700/5234709. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 65701/5234736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 65702/5234754. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 65703/5234781. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 65704/5234790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 65705/5234817. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 65706/5234835. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 65707/5234871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65708/5234916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 65709/5234925. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 65710/5234952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 65711/5234979. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 65712/5235015. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 65713/5235042. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 65714/5235069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(a a))) REDUCED to normal form. ------ 65715/5235096. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.x))) REDUCED to normal form. ------ 65716/5235123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((a (a a))((^z.z) a))) 8. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 9. ==[ beta ]==> ((a (a a))((^y.y) a)) 10. ==[ alpha ]==> ((a (a a))((^x.x) a)) 11. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 65717/5235150. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 65718/5235177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 65719/5235204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 65720/5235348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 65721/5235429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 65722/5235492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 65723/5235618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y)) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) c)) 5. ==[ beta ]==> (((a b)(a b))(c c)) REDUCED to normal form. ------ 65724/5235681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 65725/5235708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.a))) REDUCED to normal form. ------ 65726/5235735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 65727/5235762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 65728/5235807. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 65729/5235960. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 65730/5235987. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 65731/5236014. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a a))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 65732/5236041. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 65733/5236086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65734/5236095. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a (a a)))) REDUCED to normal form. ------ 65735/5236185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 65736/5236266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (b (((^x1.x1) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 65737/5236374. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65738/5236410. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 65739/5236482. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 65740/5236491. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 65741/5236518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65742/5236563. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (b ((a (^x1.x1)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 65743/5236572. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 65744/5236599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 65745/5236626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.z))) REDUCED to normal form. ------ 65746/5236680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.a))) REDUCED to normal form. ------ 65747/5236698. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 65748/5236716. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 65749/5236743. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a c)) REDUCED to normal form. ------ 65750/5236770. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 65751/5236797. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 65752/5236824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 65753/5236851. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 65754/5236878. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a b)) 3. ==[ beta ]==> (((a b)(^y.y))(a b)) 4. ==[ alpha ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 65755/5236905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 65756/5236932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 65757/5242536. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a)) b) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 65758/5242560. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65759/5242641. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65760/5243094. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 65761/5243370. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65762/5243391. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 65763/5243928. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1))))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1))))((^x2.(^y2.y2))((a a)(^z2.z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1))))((^x2.(^y2.y2))((a a)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a)(^x1.x1))))((^y1.(^z1.z1))((a a)(^x2.x2)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65764/5244261. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 65765/5244441. ------ 1. ==[ start ]==> ((^a.(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.(a a)))) 3. ==[ beta ]==> ((c (^y.(a a))) b) 4. ==[ alpha ]==> ((c (^x.(a a))) b) REDUCED to normal form. ------ 65766/5244984. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65767/5245209. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 65768/5245434. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 65769/5245659. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 65770/5246253. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 65771/5246442. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.b))) REDUCED to normal form. ------ 65772/5246466. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a a))) 3. ==[ eta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65773/5246775. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 65774/5246910. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 65775/5247063. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 65776/5247198. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65777/5247303. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 65778/5247639. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 65779/5247729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65780/5247891. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.c)) REDUCED to normal form. ------ 65781/5247906. ------ 1. ==[ start ]==> ((^a.(^b.b))(c a)) 2. ==[ alpha ]==> ((^x.(^y.y))(c a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65782/5247954. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 65783/5248008. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65784/5248062. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65785/5248089. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 65786/5248116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65787/5248143. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 65788/5248173. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 65789/5248200. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 65790/5248227. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 65791/5248254. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 65792/5248308. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65793/5248335. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 65794/5248362. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 65795/5248389. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 65796/5248434. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 65797/5248452. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 65798/5248533. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 65799/5248587. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 65800/5248614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(a a)))) REDUCED to normal form. ------ 65801/5248677. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 65802/5248704. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 65803/5248731. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 65804/5248749. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a) b)) 3. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 65805/5248983. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 65806/5249001. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65807/5249073. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 65808/5249118. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65809/5249145. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 65810/5249199. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 65811/5249253. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 65812/5249280. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 65813/5249316. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.a))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 65814/5249343. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65815/5249370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 65816/5249406. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 65817/5249460. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 65818/5249487. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 65819/5249514. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 65820/5249541. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 65821/5249874. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 65822/5250054. ------ 1. ==[ start ]==> ((a (a b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(a a)))) REDUCED to normal form. ------ 65823/5250063. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 65824/5250207. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 65825/5250234. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 65826/5250261. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 65827/5250315. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 65828/5250369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 65829/5250396. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 65830/5250423. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((a b) c)) REDUCED to normal form. ------ 65831/5250459. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 65832/5250486. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 65833/5250540. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 65834/5250567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 65835/5250612. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65836/5250657. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65837/5250684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 65838/5250738. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 65839/5250819. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 65840/5250855. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 65841/5250882. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 65842/5250909. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.a))) REDUCED to normal form. ------ 65843/5250963. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 65844/5251017. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 65845/5251044. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 65846/5251071. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 65847/5251107. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 65848/5251134. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 65849/5251161. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 65850/5251188. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 65851/5251215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 65852/5251242. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 65853/5251269. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 65854/5251359. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 65855/5251503. ------ 1. ==[ start ]==> (((a b) c)((a b)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.x))) REDUCED to normal form. ------ 65856/5251530. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 65857/5251557. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 65858/5251611. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 65859/5251638. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 65860/5251692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65861/5251719. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a) b)) REDUCED to normal form. ------ 65862/5251746. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 65863/5251863. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.b)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 65864/5251998. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 65865/5252025. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 65866/5252052. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.b))) REDUCED to normal form. ------ 65867/5252079. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 65868/5252358. ------ 1. ==[ start ]==> (((^a.a)(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(b (^y.y))) 6. ==[ alpha ]==> ((b a)(b (^x.x))) REDUCED to normal form. ------ 65869/5252385. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 65870/5252421. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 65871/5252439. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 65872/5252448. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(c c)) REDUCED to normal form. ------ 65873/5252520. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 65874/5252556. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 65875/5252583. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 65876/5252646. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 65877/5252673. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 65878/5252700. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 65879/5252727. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 65880/5252754. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 65881/5252781. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 65882/5252808. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 65883/5252916. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(z z)))) REDUCED to normal form. ------ 65884/5252925. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 65885/5253006. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c c)) 5. ==[ beta ]==> ((a a)(c c)) REDUCED to normal form. ------ 65886/5253195. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65887/5253204. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 65888/5253222. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 65889/5253249. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 65890/5253312. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 65891/5253339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65892/5253384. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 65893/5253393. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 65894/5253447. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 65895/5253492. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65896/5253519. ------ 1. ==[ start ]==> ((a (^b.b))(c a)) 2. ==[ alpha ]==> ((a (^x.x))(c a)) REDUCED to normal form. ------ 65897/5253537. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 65898/5253564. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.y))) REDUCED to normal form. ------ 65899/5253591. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 65900/5253618. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 65901/5253645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.y))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 65902/5253672. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 65903/5253699. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 65904/5253726. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 65905/5253753. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 65906/5254026. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65907/5259129. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65908/5259642. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (^z.z))) 3. ==[ beta ]==> (^y.(a (^z.z))) 4. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 65909/5259645. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 65910/5259714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.a))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 65911/5259885. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 65912/5259984. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a) b)) 3. ==[ beta ]==> (((b a) b)(((b a) b)((b a) b))) REDUCED to normal form. ------ 65913/5260806. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 a))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 65914/5261085. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(b y))) 3. ==[ eta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 65915/5261667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.a))((^z.b)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.a))((^x1.b)(^y1.a)))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(^y1.a)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.a)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 65916/5261841. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 65917/5261874. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.(a a)) b)((^z.(a a)) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a)) b)((^z.(a a)) b))) 5. ==[ beta ]==> (((^y.(a a)) b)((^z.(a a)) b)) 6. ==[ alpha ]==> (((^x.(a a)) b)((^y.(a a)) b)) 7. ==[ beta ]==> ((a a)((^y.(a a)) b)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65918/5262057. ------ 1. ==[ start ]==> (((a b) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 65919/5262489. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(a b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 65920/5262549. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((^z.b) b)((^z.b) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.b) b)((^y.b) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 65921/5262723. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 65922/5263305. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(^y.y))) 3. ==[ eta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 65923/5263614. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 65924/5263758. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 65925/5263854. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 65926/5264676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 65927/5264745. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65928/5264748. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 65929/5264793. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 65930/5264901. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 65931/5264928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 65932/5264982. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 65933/5265030. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (a (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 65934/5265057. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 65935/5265084. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 65936/5265111. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 65937/5265138. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 65938/5265165. ------ 1. ==[ start ]==> (((a a) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a a))) REDUCED to normal form. ------ 65939/5265192. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 65940/5265219. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 65941/5265237. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 65942/5265246. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 65943/5265264. ------ 1. ==[ start ]==> ((a (^b.a))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 65944/5265282. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 65945/5265309. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 65946/5265336. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 65947/5265345. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 65948/5265372. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 65949/5265453. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65950/5265507. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 65951/5265552. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 65952/5265579. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 65953/5265606. ------ 1. ==[ start ]==> ((a (a (a a)))((b a) b)) REDUCED to normal form. ------ 65954/5265642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65955/5265696. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 65956/5265750. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65957/5265804. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 65958/5265876. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 65959/5265921. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 65960/5266056. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(a b))) REDUCED to normal form. ------ 65961/5266083. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (a (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 65962/5266110. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 65963/5266137. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(b a))) REDUCED to normal form. ------ 65964/5266254. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 65965/5266281. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 65966/5266335. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 65967/5266362. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 65968/5266425. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65969/5266479. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 65970/5266587. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65971/5266641. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 65972/5266650. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(c (a a))) REDUCED to normal form. ------ 65973/5266677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65974/5266704. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (b a))) REDUCED to normal form. ------ 65975/5266767. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 65976/5266893. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 65977/5266911. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(c (^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 65978/5267073. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 65979/5267100. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 65980/5267127. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 65981/5267181. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 65982/5267262. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 65983/5267289. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 65984/5267460. ------ 1. ==[ start ]==> (((^a.b) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(a ((a a)(^y.y)))) 3. ==[ beta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 65985/5267469. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 65986/5267496. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (a a))((^y.(a a)) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(a a)) b)) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 65987/5267667. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (b (b (^x1.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 65988/5267676. ------ 1. ==[ start ]==> (((a b) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 65989/5267721. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 65990/5267748. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 65991/5267802. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 65992/5267883. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 65993/5267955. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) b)) 3. ==[ beta ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 65994/5267982. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a) c)) REDUCED to normal form. ------ 65995/5268108. ------ 1. ==[ start ]==> (((^a.b) c)(b (a b))) 2. ==[ alpha ]==> (((^x.b) c)(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 65996/5268144. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 65997/5268171. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 65998/5268342. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 65999/5268423. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 66000/5268450. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 66001/5268504. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 66002/5268585. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66003/5268738. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b) a)) 3. ==[ beta ]==> ((a (a b))((^y.b) a)) 4. ==[ alpha ]==> ((a (a b))((^x.b) a)) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 66004/5268792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 9. ==[ beta ]==> ((^y.(^z.z)) c) 10. ==[ alpha ]==> ((^x.(^y.y)) c) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66005/5268927. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 66006/5269017. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (a a)))) 5. ==[ beta ]==> (b ((^z.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66007/5269098. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66008/5269206. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 66009/5269269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 66010/5269296. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 66011/5269350. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 66012/5269368. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 66013/5269377. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 66014/5269476. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 66015/5269494. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 66016/5269521. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 66017/5269548. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((a (a a))((^y.y) a)) 8. ==[ alpha ]==> ((a (a a))((^x.x) a)) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 66018/5269575. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a)) b)) REDUCED to normal form. ------ 66019/5269683. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 66020/5269710. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 66021/5269755. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66022/5269773. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66023/5269854. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 66024/5269935. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66025/5270052. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 66026/5270079. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 66027/5270097. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 66028/5270151. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 66029/5270160. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c b)) REDUCED to normal form. ------ 66030/5270187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b c)) 5. ==[ beta ]==> ((^y.b)(b c)) 6. ==[ alpha ]==> ((^x.b)(b c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66031/5270232. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66032/5270241. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 66033/5270268. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 66034/5270295. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 66035/5270340. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66036/5270349. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 66037/5270367. ------ 1. ==[ start ]==> ((a (^b.b))(a (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 66038/5270385. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 66039/5270412. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 66040/5270439. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 66041/5270466. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a) b)) 3. ==[ beta ]==> (((a (a a))(a a))((a a) b)) REDUCED to normal form. ------ 66042/5270493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66043/5270520. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 66044/5270547. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 66045/5270574. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 66046/5270601. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 66047/5270627. ------ 1. ==[ start ]==> (^a.((b a)(a (^a.a)))) 2. ==[ alpha ]==> (^x.((b x)(x (^y.y)))) REDUCED to normal form. ------ 66048/5270628. ------ 1. ==[ start ]==> (a ((b a)(a (^a.a)))) 2. ==[ alpha ]==> (a ((b a)(a (^x.x)))) REDUCED to normal form. ------ 66049/5275986. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.c)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66050/5276256. ------ 1. ==[ start ]==> ((^a.a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 3. ==[ beta ]==> ((b a)(a (^y.y))) 4. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 66051/5276283. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 66052/5276310. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 66053/5276391. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(a b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> (((^y.y)(a b))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66054/5277123. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 66055/5277201. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66056/5277411. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66057/5277672. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 66058/5278146. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)(a b)) b) 4. ==[ alpha ]==> ((((^x.x) a)(a b)) b) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 66059/5278464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66060/5278533. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b) c)) 3. ==[ beta ]==> (^y.(((a b) c)((a b) c))) 4. ==[ alpha ]==> (^x.(((a b) c)((a b) c))) REDUCED to normal form. ------ 66061/5278707. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66062/5278716. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 66063/5278740. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(a a))(((^z.z)(a a))(a a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))(a a))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 66064/5279166. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 66065/5279391. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 66066/5279415. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((((a b)(a a))((a b)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a b)(a a))((a b)(a a)))(^x.x)) REDUCED to normal form. ------ 66067/5279598. ------ 1. ==[ start ]==> (((a b) c)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(x x)))) REDUCED to normal form. ------ 66068/5279787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) a) 4. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) a) 5. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) a) 6. ==[ beta ]==> ((^y.(^z.z)) a) 7. ==[ alpha ]==> ((^x.(^y.y)) a) 8. ==[ beta ]==> (^y.y) 9. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66069/5279985. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(y b))) 3. ==[ beta ]==> ((a (a b))(^y.(y b))) 4. ==[ alpha ]==> ((a (a b))(^x.(x b))) REDUCED to normal form. ------ 66070/5280651. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 66071/5280720. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66072/5280930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 66073/5281008. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x1.x1))((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 66074/5281542. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 66075/5281611. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66076/5281614. ------ 1. ==[ start ]==> ((a (^b.b))(^b.c)) 2. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 66077/5281740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 66078/5281821. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.b)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.b)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 66079/5281848. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 66080/5281887. ------ 1. ==[ start ]==> ((a a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 66081/5281914. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 66082/5281941. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 66083/5281995. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 66084/5282022. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 66085/5282121. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66086/5282175. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66087/5282220. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 66088/5282247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 66089/5282256. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 66090/5282283. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 66091/5282310. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 66092/5282328. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 66093/5282337. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 66094/5282364. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 66095/5282472. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 66096/5282490. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) b)) 3. ==[ beta ]==> ((^y.(y y))((b a) b)) 4. ==[ alpha ]==> ((^x.(x x))((b a) b)) 5. ==[ beta ]==> (((b a) b)((b a) b)) REDUCED to normal form. ------ 66097/5282517. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 66098/5282553. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 66099/5282580. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 66100/5282634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 66101/5282661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66102/5282688. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 66103/5282724. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (b a))) REDUCED to normal form. ------ 66104/5282751. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 66105/5282778. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 66106/5282805. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 66107/5282832. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 66108/5282985. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 66109/5283039. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 66110/5283057. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 66111/5283354. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (a (((a a)(^z.z)) b)) 6. ==[ alpha ]==> (a (((a a)(^x.x)) b)) REDUCED to normal form. ------ 66112/5283390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 66113/5283417. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 66114/5283471. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 66115/5283498. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 66116/5283525. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 66117/5283615. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 66118/5283642. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 66119/5283669. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)((^x.x) a))) 5. ==[ beta ]==> ((a (a (a a)))((a b) a)) REDUCED to normal form. ------ 66120/5283696. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 66121/5283723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.x))(^z.z)) 12. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 66122/5283750. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 66123/5283777. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 66124/5283867. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) IRREDUCIBLE: cycle. ------ 66125/5283930. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 66126/5283948. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 66127/5283957. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 66128/5283975. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 66129/5283984. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 66130/5284038. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 66131/5284056. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 66132/5284065. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 66133/5284092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66134/5284137. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 66135/5284146. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 66136/5284164. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b) c)) REDUCED to normal form. ------ 66137/5284317. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 66138/5284335. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 66139/5284344. ------ 1. ==[ start ]==> (((a b)(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 66140/5284371. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 66141/5284380. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66142/5284407. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b) c)) 3. ==[ beta ]==> ((^y.y)((^x1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66143/5284551. ------ 1. ==[ start ]==> (((a b) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(a a)))) REDUCED to normal form. ------ 66144/5284596. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 66145/5284605. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 66146/5284623. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 66147/5284632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 66148/5284677. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 13. ==[ beta ]==> ((^y.y)(^z.(z z))) 14. ==[ alpha ]==> ((^x.x)(^y.(y y))) 15. ==[ beta ]==> (^y.(y y)) 16. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 66149/5284686. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66150/5284713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 11. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 12. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 13. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 14. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 15. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 16. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 17. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 18. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 19. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 20. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 21. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 22. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 23. ==[ beta ]==> ((^y.y)(^z.z)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66151/5284740. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 66152/5284758. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 66153/5284767. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66154/5284794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 66155/5284983. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66156/5284992. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (a b))) REDUCED to normal form. ------ 66157/5285019. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 66158/5285046. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(a a))) REDUCED to normal form. ------ 66159/5285082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66160/5285226. ------ 1. ==[ start ]==> (((a b) c)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(a a)))) REDUCED to normal form. ------ 66161/5285253. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.b)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(a a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 66162/5285298. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 66163/5285325. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 66164/5285334. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 66165/5285361. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 66166/5285415. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66167/5285442. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 66168/5285460. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 66169/5285469. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 66170/5285496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66171/5285523. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 66172/5285586. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b ((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b ((a a) a))) REDUCED to normal form. ------ 66173/5285613. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (a b))) 3. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 66174/5285640. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 66175/5285667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 11. ==[ beta ]==> ((^y.y)(a (^z.z))) 12. ==[ alpha ]==> ((^x.x)(a (^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 66176/5285694. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 66177/5285721. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a b) a)(a (a (a a)))) REDUCED to normal form. ------ 66178/5285748. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 66179/5285775. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 66180/5285892. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (b (a (^y.(y y)))) 8. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 66181/5285973. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 66182/5286036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 66183/5286162. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 66184/5286225. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 66185/5286252. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 66186/5286279. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 66187/5286306. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 66188/5286351. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 66189/5286369. ------ 1. ==[ start ]==> (((a a)(b a))(c d)) REDUCED to normal form. ------ 66190/5286531. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 66191/5286558. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(a (^y.y))) 8. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 66192/5286585. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 66193/5286639. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 66194/5286729. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 66195/5286810. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 66196/5286918. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66197/5286945. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 66198/5286972. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66199/5287026. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.y))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 66200/5287035. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 66201/5287062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66202/5287107. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (b (((^x1.x1) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 66203/5287116. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 66204/5287143. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 66205/5287170. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 66206/5287215. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66207/5287224. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 66208/5287242. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 66209/5287287. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b b)) REDUCED to normal form. ------ 66210/5287341. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (a a))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a a))) REDUCED to normal form. ------ 66211/5287368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 66212/5287395. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 66213/5287422. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b a)) 3. ==[ beta ]==> (((a b)(^y.y))(b a)) 4. ==[ alpha ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 66214/5287449. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a b)) 3. ==[ beta ]==> (((a a)(a (a a)))(a b)) REDUCED to normal form. ------ 66215/5287476. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 66216/5287767. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 66217/5289225. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.b)) b) 4. ==[ beta ]==> (^y.b) 5. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 66218/5291430. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.b))) 3. ==[ eta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 66219/5292870. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66220/5293158. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66221/5293239. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66222/5293401. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 66223/5293404. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 66224/5293422. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 66225/5293719. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 66226/5293743. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1))(((^y.(^z.(^x1.x1)))(^y1.y1))((^y.(^z.(^x1.x1)))(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.(^z1.(^x2.x2)))(^y2.y2))((^z2.(^x3.(^y3.y3)))(^z3.z3)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^y1.(^z1.(^x2.x2)))(^y2.y2))((^z2.(^x3.(^y3.y3)))(^z3.z3)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(^z1.z1))((^x2.(^y2.(^z2.z2)))(^x3.x3)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66227/5293968. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66228/5294016. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66229/5294526. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.a)((^z.z)(a a)))((^y.a)((^z.z)(a a))))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a))))((^y1.a)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1)(a a))))((^y1.a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y)(a a))))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a a)((^z.a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 66230/5294859. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 66231/5294862. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 66232/5295357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66233/5295609. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66234/5296284. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 66235/5296482. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 66236/5296680. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66237/5296878. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.y))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.x))) REDUCED to normal form. ------ 66238/5297064. ------ 1. ==[ start ]==> ((^a.(b a))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.b))) 3. ==[ eta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 66239/5297067. ------ 1. ==[ start ]==> ((a (b a))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.b))) REDUCED to normal form. ------ 66240/5297688. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 66241/5297823. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66242/5298183. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66243/5298435. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 66244/5298504. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66245/5298507. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 66246/5298525. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 66247/5298579. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 66248/5298633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66249/5298687. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 66250/5298714. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 66251/5298741. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 66252/5298798. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 66253/5298825. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 66254/5298852. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 66255/5298879. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 66256/5298933. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66257/5298960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 66258/5298987. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 66259/5299014. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 66260/5299041. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 66261/5299059. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 66262/5299077. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66263/5299086. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 66264/5299158. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(y y)))) REDUCED to normal form. ------ 66265/5299185. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 66266/5299212. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 66267/5299239. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 66268/5299266. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 66269/5299302. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 66270/5299329. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 66271/5299356. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 66272/5299374. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 66273/5299383. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 66274/5299608. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 66275/5299653. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 66276/5299743. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66277/5299770. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 66278/5299824. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 66279/5299878. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 66280/5299905. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 66281/5299968. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 66282/5299995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 66283/5300031. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 66284/5300058. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 66285/5300112. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 66286/5300139. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 7. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 66287/5300166. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 66288/5300292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) c)) 5. ==[ beta ]==> (b (((^y.y)(a a)) c)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 7. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 66289/5300499. ------ 1. ==[ start ]==> ((a (^a.b))(a (b a))) 2. ==[ alpha ]==> ((a (^x.b))(a (b a))) REDUCED to normal form. ------ 66290/5300688. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 66291/5300832. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.a))) REDUCED to normal form. ------ 66292/5300859. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 66293/5300886. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 66294/5300940. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 66295/5300967. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 66296/5300994. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66297/5301021. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 66298/5301048. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.x))((a a) b)) REDUCED to normal form. ------ 66299/5301084. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 66300/5301138. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 66301/5301192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.b))) 7. ==[ beta ]==> (a ((^y.a)(^z.b))) 8. ==[ alpha ]==> (a ((^x.a)(^y.b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66302/5301219. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 66303/5301246. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 66304/5301282. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66305/5301309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 66306/5301363. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 9. ==[ beta ]==> ((^y.y)(a (a a))) 10. ==[ alpha ]==> ((^x.x)(a (a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 66307/5301444. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 66308/5301507. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 66309/5301534. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 66310/5301588. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 66311/5301615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 66312/5301642. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 66313/5301669. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 66314/5301696. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 66315/5301732. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 66316/5301759. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 66317/5301813. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 66318/5301840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66319/5301867. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 66320/5301894. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 66321/5301921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 66322/5301984. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 66323/5302119. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 66324/5302155. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(^y.y))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.x))) REDUCED to normal form. ------ 66325/5302182. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 66326/5302236. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 66327/5302263. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 66328/5302317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66329/5302344. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 66330/5302371. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) b)) REDUCED to normal form. ------ 66331/5302461. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 66332/5302515. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a b))(^y.b)) 6. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 66333/5302677. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.a))) REDUCED to normal form. ------ 66334/5302704. ------ 1. ==[ start ]==> ((a (b a))(a (^a.b))) 2. ==[ alpha ]==> ((a (b a))(a (^x.b))) REDUCED to normal form. ------ 66335/5302938. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a)) c)) REDUCED to normal form. ------ 66336/5302983. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (a (a a)))) 3. ==[ beta ]==> ((b a)(c (a (a a)))) REDUCED to normal form. ------ 66337/5303010. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66338/5303046. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 66339/5303064. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(a a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(a a))) 7. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 66340/5303073. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 66341/5303145. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 66342/5303208. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 66343/5303271. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 66344/5303298. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 66345/5303325. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66346/5303352. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 66347/5303379. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 66348/5303406. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 66349/5303433. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 66350/5303460. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 66351/5303532. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66352/5303550. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66353/5303820. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66354/5303829. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 66355/5303847. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 66356/5303856. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 66357/5303874. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 66358/5303937. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 66359/5303964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66360/5304018. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66361/5304045. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 66362/5304072. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a) c)) REDUCED to normal form. ------ 66363/5304117. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66364/5304126. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 66365/5304144. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 66366/5304162. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 66367/5304189. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 66368/5304216. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 66369/5304243. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 66370/5304270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 66371/5304297. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 66372/5304324. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 66373/5304351. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 66374/5304378. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 66375/5304422. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66376/5304423. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66377/5310063. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66378/5310069. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66379/5310123. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) d)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 66380/5310321. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 66381/5310393. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 66382/5310564. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 66383/5310663. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (^y.(^z.z))) a)(((a (^y.(^z.z))) a)((a (^y.(^z.z))) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a (^z.(^x1.x1))) a)((a (^y1.(^z1.z1))) a))) REDUCED to normal form. ------ 66384/5310888. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66385/5311224. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(b a))) 3. ==[ beta ]==> ((a (^y.a))(^z.(b a))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(b a))) REDUCED to normal form. ------ 66386/5311242. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 66387/5311446. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(a a)))(((^y.y) a)(^z.(a a))))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a))))(((^y1.y1) a)(^z1.(a a)))) 5. ==[ beta ]==> (((a (^y.(a a)))(((^z.z) a)(^x1.(a a))))(((^y1.y1) a)(^z1.(a a)))) 6. ==[ alpha ]==> (((a (^x.(a a)))(((^y.y) a)(^z.(a a))))(((^x1.x1) a)(^y1.(a a)))) 7. ==[ beta ]==> (((a (^x.(a a)))(a (^z.(a a))))(((^x1.x1) a)(^y1.(a a)))) 8. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))(((^z.z) a)(^x1.(a a)))) 9. ==[ beta ]==> (((a (^x.(a a)))(a (^y.(a a))))(a (^x1.(a a)))) 10. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))(a (^z.(a a)))) REDUCED to normal form. ------ 66388/5312346. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.(^y1.y1)))((^z.(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((a a)((^y1.(a a))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 66389/5313228. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((^z.(a a)) a)((^z.(a a)) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a)) a)((^y.(a a)) a))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a)) a))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) a))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 66390/5313411. ------ 1. ==[ start ]==> (((a b) c)(^c.(a b))) 2. ==[ alpha ]==> (((a b) c)(^x.(a b))) REDUCED to normal form. ------ 66391/5314158. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 66392/5314329. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 66393/5314464. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 66394/5314533. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66395/5314821. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> (((^x1.a) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a) c)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66396/5314995. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 66397/5315103. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66398/5315112. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z (z z)))) REDUCED to normal form. ------ 66399/5315211. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 66400/5315292. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 66401/5315424. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66402/5315445. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.c)) REDUCED to normal form. ------ 66403/5315553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.b)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.b)) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 66404/5315607. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 66405/5315706. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66406/5315718. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 66407/5315736. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(a (^y.y)))) 3. ==[ beta ]==> (a ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (a ((b a)(a (^x.x)))) REDUCED to normal form. ------ 66408/5315763. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 66409/5315772. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a b)((^x.(^y.y)) d)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66410/5315790. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 66411/5315817. ------ 1. ==[ start ]==> (((^a.a) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 66412/5315844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 66413/5315871. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 66414/5315898. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a a))) REDUCED to normal form. ------ 66415/5315925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 66416/5315952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(b a))) REDUCED to normal form. ------ 66417/5315970. ------ 1. ==[ start ]==> ((a (^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 66418/5316015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 66419/5316042. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 66420/5316132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 66421/5316213. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 66422/5316285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 66423/5316312. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 66424/5316321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1))((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66425/5316402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66426/5316429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 66427/5316510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 66428/5316537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 66429/5316609. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 66430/5316627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(a a))) 3. ==[ beta ]==> ((b b)((b a)(a a))) REDUCED to normal form. ------ 66431/5316762. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 66432/5316789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(a b))) 5. ==[ beta ]==> (a ((a (a a))(a b))) REDUCED to normal form. ------ 66433/5316816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 66434/5316843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 66435/5316870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.a))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(b a))) REDUCED to normal form. ------ 66436/5316888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66437/5316960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 66438/5316987. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 66439/5317014. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 66440/5317068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.b))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 66441/5317095. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 66442/5317131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66443/5317266. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 66444/5317347. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 9. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 10. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 11. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 66445/5317410. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 66446/5317500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a)) c)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a)) c)) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 66447/5317599. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 66448/5317779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 66449/5317806. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 66450/5317833. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66451/5317887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 66452/5317968. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66453/5317995. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 66454/5318013. ------ 1. ==[ start ]==> (((a a)(a b))((a b) c)) REDUCED to normal form. ------ 66455/5318166. ------ 1. ==[ start ]==> (((^a.b) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 66456/5318373. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (b (c (^x1.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 66457/5318382. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(a b))) REDUCED to normal form. ------ 66458/5318409. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 66459/5318454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66460/5318589. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66461/5318661. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 66462/5318688. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b) b)) REDUCED to normal form. ------ 66463/5318814. ------ 1. ==[ start ]==> (((^a.b) c)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 66464/5318877. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 66465/5319048. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 66466/5319057. ------ 1. ==[ start ]==> (((a b) c)((a a)(a b))) REDUCED to normal form. ------ 66467/5319156. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66468/5319210. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 66469/5319291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 66470/5319471. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b) a)) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 66471/5319525. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 66472/5319723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (b (a ((^y.y) a))) 10. ==[ alpha ]==> (b (a ((^x.x) a))) 11. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 66473/5319804. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 66474/5319912. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 66475/5319939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66476/5319975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 66477/5320002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 66478/5320056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66479/5320074. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 66480/5320083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 66481/5320110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 66482/5320182. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 66483/5320200. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.a))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.a))) REDUCED to normal form. ------ 66484/5320227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 66485/5320254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 66486/5320281. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 66487/5320308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a)) b)) 5. ==[ beta ]==> (((a a) a)((a (a a)) b)) REDUCED to normal form. ------ 66488/5320416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 66489/5320461. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66490/5320470. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a) c)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 66491/5320560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a a)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 66492/5320641. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 66493/5320749. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66494/5320758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a (a a)))) REDUCED to normal form. ------ 66495/5320785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 66496/5320803. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 66497/5320857. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 66498/5320893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(c b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c b)) 5. ==[ beta ]==> ((^y.b)(c b)) 6. ==[ alpha ]==> ((^x.b)(c b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66499/5320938. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66500/5321001. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (a (^z.z)))) REDUCED to normal form. ------ 66501/5321055. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 66502/5321073. ------ 1. ==[ start ]==> ((a (^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 66503/5321118. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 66504/5321145. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 66505/5321172. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 66506/5321199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a) b)) 3. ==[ beta ]==> (((^y.y)(a b))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((a a) b)) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 66507/5321226. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 66508/5321253. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 66509/5321280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 66510/5321307. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 66511/5321352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66512/5321360. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(x x))) REDUCED to normal form. ------ 66513/5321361. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 66514/5323848. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1))))) 5. ==[ beta ]==> ((^y.((y y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1)))) 7. ==[ beta ]==> (((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y)) 8. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1)) 10. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1)) 11. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1)) 12. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2)) 13. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2)) 14. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 15. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 16. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 17. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 18. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 19. ==[ beta ]==> (((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 20. ==[ alpha ]==> (((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3)) 21. ==[ beta ]==> ((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3)) 22. ==[ alpha ]==> ((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3)) 23. ==[ beta ]==> (((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3)) 24. ==[ alpha ]==> (((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4)) 25. ==[ beta ]==> ((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4)) 26. ==[ alpha ]==> ((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4)) 27. ==[ beta ]==> (((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4)) 28. ==[ alpha ]==> (((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4)) 29. ==[ beta ]==> ((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4)) 30. ==[ alpha ]==> ((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5)) 31. ==[ beta ]==> (((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5)) 32. ==[ alpha ]==> (((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5)) 33. ==[ beta ]==> ((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5)) 34. ==[ alpha ]==> ((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5)) 35. ==[ beta ]==> (((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5)) UNREDUCED: maximal number of reductions reached. ------ 66515/5324523. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z))))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z)))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))))(^z1.z1)) 7. ==[ beta ]==> (((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))(^z1.z1)) 8. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))(^y1.y1)) IRREDUCIBLE: cycle. ------ 66516/5325279. ------ 1. ==[ start ]==> ((^a.(b a))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((a a) a))) 3. ==[ eta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 66517/5327001. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66518/5327010. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a)) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 66519/5327016. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66520/5327025. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66521/5327043. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((b a)(a (^y.y)))((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((b a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 66522/5327070. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 66523/5327151. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 66524/5327307. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66525/5327511. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 66526/5327604. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 66527/5327910. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 66528/5327961. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66529/5328198. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 66530/5328747. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(b x))) 3. ==[ eta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 66531/5328906. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 66532/5329251. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 66533/5329293. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.((((^z.z)(a a)) b)(((^z.z)(a a)) b))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a)) b)(((^z.z)(a a)) b))) 5. ==[ beta ]==> (^x.(((a a) b)(((^z.z)(a a)) b))) 6. ==[ alpha ]==> (^x.(((a a) b)(((^y.y)(a a)) b))) 7. ==[ beta ]==> (^x.(((a a) b)((a a) b))) REDUCED to normal form. ------ 66534/5329500. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a ((a a)(^z.z)))(a ((a a)(^z.z))))) 4. ==[ alpha ]==> ((^x.x)((a ((a a)(^y.y)))(a ((a a)(^z.z))))) 5. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 66535/5329503. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 66536/5329737. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 66537/5330175. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a ((^z.z)(a a)))(a ((^z.z)(a a))))(^y.y)) 4. ==[ alpha ]==> (((a ((^x.x)(a a)))(a ((^y.y)(a a))))(^z.z)) 5. ==[ beta ]==> (((a (a a))(a ((^y.y)(a a))))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(a ((^x.x)(a a))))(^y.y)) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 66538/5330178. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 66539/5330358. ------ 1. ==[ start ]==> (((a b) c)(^d.(^a.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.b))) REDUCED to normal form. ------ 66540/5330385. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 66541/5330574. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 66542/5330772. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(x b))) REDUCED to normal form. ------ 66543/5330931. ------ 1. ==[ start ]==> ((^a.(b a))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)((a a) a))) 3. ==[ eta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 66544/5330934. ------ 1. ==[ start ]==> ((a (b a))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (b a))(^x.((a a) a))) REDUCED to normal form. ------ 66545/5331105. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 66546/5331276. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 66547/5331480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66548/5331717. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 66549/5331768. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((^x1.x1) a)(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 66550/5331942. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 66551/5332059. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 66552/5332167. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 66553/5332239. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 66554/5332248. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 66555/5332371. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66556/5332527. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 66557/5332554. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 66558/5332608. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.b)) REDUCED to normal form. ------ 66559/5332653. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66560/5332662. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 66561/5332674. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 66562/5332683. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 66563/5332701. ------ 1. ==[ start ]==> ((a (a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 66564/5332728. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 66565/5332782. ------ 1. ==[ start ]==> (((a a)(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 66566/5332809. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 66567/5332944. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 66568/5332962. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 66569/5333007. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 66570/5333034. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 66571/5333043. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 66572/5333070. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 66573/5333088. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 66574/5333097. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 66575/5333151. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 66576/5333169. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 66577/5333259. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 66578/5333277. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (((a (^y.(^z.z))) a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 66579/5333304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 66580/5333340. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66581/5333367. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 66582/5333394. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 66583/5333421. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 66584/5333448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66585/5333475. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 66586/5333538. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (b a))) REDUCED to normal form. ------ 66587/5333565. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 66588/5333592. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(a a))) REDUCED to normal form. ------ 66589/5333619. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 66590/5333628. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66591/5333853. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66592/5334087. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 66593/5334141. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a) a)) 5. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 66594/5334177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66595/5334204. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 66596/5334258. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 66597/5334285. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 66598/5334312. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 66599/5334339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66600/5334402. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (b a))) REDUCED to normal form. ------ 66601/5334429. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 66602/5334456. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 66603/5334483. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) a)((a b) a)) REDUCED to normal form. ------ 66604/5334510. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 66605/5334537. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 66606/5334564. ------ 1. ==[ start ]==> ((a (a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 66607/5334717. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 66608/5334735. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 66609/5334744. ------ 1. ==[ start ]==> (((a b) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 66610/5334762. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 66611/5334771. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 66612/5334789. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66613/5334825. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 66614/5334843. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.b))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 66615/5334852. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 66616/5334879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66617/5334906. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 66618/5334924. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 66619/5334933. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 66620/5334951. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) b)) REDUCED to normal form. ------ 66621/5335122. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66622/5335131. ------ 1. ==[ start ]==> (((a b)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(b (a a))) REDUCED to normal form. ------ 66623/5335158. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 66624/5335167. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66625/5335194. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66626/5335248. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a) d)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a) d)) 5. ==[ beta ]==> ((^y.y)((^y1.a) d)) 6. ==[ alpha ]==> ((^x.x)((^y.a) d)) 7. ==[ beta ]==> ((^y.a) d) 8. ==[ alpha ]==> ((^x.a) d) 9. ==[ beta ]==> a REDUCED to normal form. ------ 66627/5335338. ------ 1. ==[ start ]==> (((a b) b)(c (^a.b))) 2. ==[ alpha ]==> (((a b) b)(c (^x.b))) REDUCED to normal form. ------ 66628/5335365. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 66629/5335392. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 66630/5335410. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 66631/5335419. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 66632/5335464. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.a))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 11. ==[ beta ]==> (((a a) a)(^y.a)) 12. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 66633/5335473. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 66634/5335500. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66635/5335527. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 66636/5335545. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 66637/5335554. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 66638/5335581. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 66639/5335770. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66640/5335779. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c ((a a) a))) REDUCED to normal form. ------ 66641/5335806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (a b))) 3. ==[ beta ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 66642/5335833. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 66643/5335869. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66644/5336013. ------ 1. ==[ start ]==> (((a b) c)(b (^a.b))) 2. ==[ alpha ]==> (((a b) c)(b (^x.b))) REDUCED to normal form. ------ 66645/5336040. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 66646/5336067. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 66647/5336085. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 66648/5336112. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 66649/5336121. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 66650/5336148. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 66651/5336166. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 66652/5336202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66653/5336229. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 66654/5336247. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 66655/5336256. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 66656/5336310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 66657/5336400. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b ((a a) a))) 3. ==[ beta ]==> ((a (a b))(b ((a a) a))) REDUCED to normal form. ------ 66658/5336427. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (a b))) REDUCED to normal form. ------ 66659/5336454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a a))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 66660/5336481. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 66661/5336508. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a b) a)((a (a a)) a)) REDUCED to normal form. ------ 66662/5336535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 66663/5336562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 66664/5336589. ------ 1. ==[ start ]==> ((a (b a))((a a)((a a) a))) REDUCED to normal form. ------ 66665/5336679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.a))) 5. ==[ beta ]==> (b ((a (a a))(^z.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 66666/5336760. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 66667/5336823. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 66668/5336931. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 66669/5336949. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.a) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.a) a)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 66670/5337039. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(y y)))) REDUCED to normal form. ------ 66671/5337066. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 66672/5337138. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 66673/5337318. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(c a)) REDUCED to normal form. ------ 66674/5337345. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (a (a a)))) 5. ==[ beta ]==> (((a a) a)(b (a (a a)))) REDUCED to normal form. ------ 66675/5337372. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 66676/5337426. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 66677/5337435. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66678/5337516. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.z))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 66679/5337597. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 66680/5337714. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 66681/5337732. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66682/5337759. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66683/5337822. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 66684/5337849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66685/5337894. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (b ((a a)(^x1.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 66686/5337903. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 66687/5337930. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 66688/5337957. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 66689/5338002. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66690/5338029. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 66691/5338047. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 66692/5338074. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c a)) REDUCED to normal form. ------ 66693/5338101. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 66694/5338155. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (a a))) 3. ==[ beta ]==> (((^y.y)(a b))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (a a))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 66695/5338182. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 66696/5338209. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 66697/5338236. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b a)) 3. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 66698/5338263. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 66699/5338308. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66700/5338317. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 66701/5338923. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(a (^z.(^x1.x1))))((^y.(a (^z.(^x1.x1))))(^y.(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))((^x1.(a (^y1.(^z1.z1))))(^x2.(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66702/5340813. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66703/5341488. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^z.(^x1.(a a)))(^z.(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(a a)))(^z.(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(a a))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66704/5343966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b) c) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b) c) 3. ==[ beta ]==> ((^y.(^z.z)) c) 4. ==[ alpha ]==> ((^x.(^y.y)) c) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66705/5343975. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a)) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 66706/5343999. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66707/5344080. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66708/5344242. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(b a))) 3. ==[ beta ]==> (^y.((a (^z.z))(b a))) 4. ==[ alpha ]==> (^x.((a (^y.y))(b a))) REDUCED to normal form. ------ 66709/5344290. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 66710/5344314. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66711/5344584. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))(((^y.y)(a (^z.(^x1.x1))))((^y.y)(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a (^y1.(^z1.z1))))((^x2.x2)(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a (^y1.(^z1.z1))))((^x2.x2)(a (^y2.(^z2.z2)))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a (^x1.(^y1.y1))))((^z1.z1)(a (^x2.(^y2.y2)))))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))((^z1.z1)(a (^x2.(^y2.y2)))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2)))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 66712/5344587. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 66713/5344884. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 66714/5345367. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((^y.(y y))(a b))((^y.(y y))(a b)))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((((^x.(x x))(a b))((^y.(y y))(a b)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((((a b)(a b))((^y.(y y))(a b)))((^z.(z z))(a b))) 6. ==[ alpha ]==> ((((a b)(a b))((^x.(x x))(a b)))((^y.(y y))(a b))) 7. ==[ beta ]==> ((((a b)(a b))((a b)(a b)))((^y.(y y))(a b))) 8. ==[ alpha ]==> ((((a b)(a b))((a b)(a b)))((^x.(x x))(a b))) 9. ==[ beta ]==> ((((a b)(a b))((a b)(a b)))((a b)(a b))) REDUCED to normal form. ------ 66715/5345700. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 66716/5346477. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66717/5346486. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66718/5346936. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 66719/5347149. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((^z.z)(^x1.(a a)))((^z.z)(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.(a a)))((^z.z)(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.(a a))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.(a a))))(^x1.x1)) 7. ==[ beta ]==> ((a a)(^x1.x1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 66720/5347152. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 66721/5347746. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 66722/5347905. ------ 1. ==[ start ]==> ((^a.(b a))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.a))) 3. ==[ eta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 66723/5348268. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((y y) y))) 3. ==[ beta ]==> (((a b)(a b))(^y.((y y) y))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((x x) x))) REDUCED to normal form. ------ 66724/5348556. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 66725/5348691. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 66726/5349051. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 66727/5349222. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 66728/5349321. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66729/5349345. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66730/5349393. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.y))) REDUCED to normal form. ------ 66731/5349447. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 66732/5349501. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66733/5349555. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66734/5349582. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 66735/5349627. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66736/5349636. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 66737/5349666. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 66738/5349675. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66739/5349693. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 66740/5349720. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 66741/5349747. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 66742/5349801. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66743/5349828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 66744/5349855. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 66745/5349882. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 66746/5349909. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 66747/5349927. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 66748/5349954. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 66749/5349981. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 66750/5350026. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 66751/5350053. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 66752/5350080. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 66753/5350134. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 66754/5350170. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 66755/5350197. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 66756/5350224. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66757/5350242. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 66758/5350251. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 66759/5350323. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 66760/5350494. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 66761/5350548. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 66762/5350566. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 66763/5350611. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66764/5350638. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 66765/5350692. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 66766/5350746. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 66767/5350773. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 66768/5350827. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(b a))) REDUCED to normal form. ------ 66769/5350863. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 66770/5350926. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 66771/5350953. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 66772/5351007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 66773/5351034. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(a b))) REDUCED to normal form. ------ 66774/5351160. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (b (((a a)(^y.y)) b)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 66775/5351367. ------ 1. ==[ start ]==> ((a (^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 66776/5351556. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.b)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.b)((a (a a))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 66777/5351637. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a)(^z.z)))) IRREDUCIBLE: cycle. ------ 66778/5351700. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 66779/5351727. ------ 1. ==[ start ]==> (((a b) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.a))) REDUCED to normal form. ------ 66780/5351754. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 66781/5351808. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 66782/5351835. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 66783/5351862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66784/5351916. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 66785/5351952. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 66786/5351979. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 66787/5352033. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 66788/5352087. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 66789/5352114. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 66790/5352150. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(a a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66791/5352177. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 66792/5352231. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 66793/5352312. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 66794/5352366. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 66795/5352402. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 66796/5352456. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 66797/5352483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 66798/5352510. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 66799/5352537. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 66800/5352564. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 66801/5352600. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 66802/5352627. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 66803/5352654. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 66804/5352708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66805/5352735. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a) a)(^y.y)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 66806/5352762. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 66807/5352789. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 66808/5352816. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 66809/5352852. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 66810/5352987. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 66811/5353050. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 66812/5353104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 66813/5353131. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 66814/5353185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66815/5353212. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 66816/5353239. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) a)) REDUCED to normal form. ------ 66817/5353266. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 66818/5353329. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 66819/5353356. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 66820/5353383. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 66821/5353410. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.b)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.b)) REDUCED to normal form. ------ 66822/5353572. ------ 1. ==[ start ]==> ((a (b a))(b (^c.a))) 2. ==[ alpha ]==> ((a (b a))(b (^x.a))) REDUCED to normal form. ------ 66823/5353806. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 66824/5353932. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a ((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(a ((a a) a))) REDUCED to normal form. ------ 66825/5353941. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 66826/5353995. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 66827/5354013. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 66828/5354139. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 66829/5354166. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 66830/5354193. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 66831/5354220. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 66832/5354247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 66833/5354274. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 66834/5354301. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 66835/5354328. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 66836/5354355. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 66837/5354400. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66838/5354418. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66839/5354688. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66840/5354715. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 66841/5354724. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 66842/5354742. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 66843/5354796. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 66844/5354832. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66845/5354877. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 66846/5354886. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 66847/5354913. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 66848/5354940. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z)) b)) REDUCED to normal form. ------ 66849/5354985. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66850/5354994. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 66851/5355012. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 66852/5355030. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 66853/5355057. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.a))) REDUCED to normal form. ------ 66854/5355084. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 66855/5355111. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 66856/5355138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66857/5355165. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 66858/5355192. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 66859/5355219. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 66860/5355246. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 66861/5355291. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66862/5355300. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.z))) REDUCED to normal form. ------ 66863/5355317. ------ 1. ==[ start ]==> (^a.((^b.b) a)) 2. ==[ alpha ]==> (^x.((^y.y) x)) 3. ==[ eta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66864/5355318. ------ 1. ==[ start ]==> (a ((^b.b) a)) 2. ==[ alpha ]==> (a ((^x.x) a)) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66865/5360991. ------ 1. ==[ start ]==> ((^a.a)((^b.b) a)) 2. ==[ alpha ]==> ((^x.x)((^y.y) a)) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 66866/5361018. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66867/5361243. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.a))) 3. ==[ beta ]==> (^y.(c (^z.a))) 4. ==[ alpha ]==> (^x.(c (^y.a))) REDUCED to normal form. ------ 66868/5361282. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 66869/5361315. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 66870/5361486. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 66871/5361585. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1))))(((a a)(^y.(^z.(^x1.x1))))((a a)(^y.(^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.(^y1.(^z1.z1))))((a a)(^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 66872/5361597. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(a (^z.(^x1.x1))))(^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66873/5361810. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66874/5361903. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 66875/5362368. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.b))) 3. ==[ beta ]==> ((((a (a a))(^y.b))((a (a a))(^y.b)))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((((a (a a))(^x.b))((a (a a))(^y.b)))((a (a a))(^z.b))) REDUCED to normal form. ------ 66876/5362461. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z a))) 5. ==[ beta ]==> (a (^z.(z a))) 6. ==[ alpha ]==> (a (^x.(x a))) REDUCED to normal form. ------ 66877/5362701. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 66878/5363244. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 66879/5363268. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.x2)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66880/5363487. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66881/5363712. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 66882/5363730. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66883/5364360. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a b))) 3. ==[ beta ]==> (((a a) b)(^y.(a b))) 4. ==[ alpha ]==> (((a a) b)(^x.(a b))) REDUCED to normal form. ------ 66884/5364567. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)((^y.y) a)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 66885/5365269. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 66886/5365278. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 66887/5365455. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 66888/5365557. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66889/5365743. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^x1.(x1 x1)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 66890/5365836. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 66891/5366052. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 66892/5366061. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 66893/5366142. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 66894/5366322. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66895/5366331. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 66896/5366346. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66897/5366394. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.c)) REDUCED to normal form. ------ 66898/5366556. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.y)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 66899/5366628. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66900/5366637. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.a)) REDUCED to normal form. ------ 66901/5366660. ------ 1. ==[ start ]==> (^a.(^a.((^a.a) b))) 2. ==[ alpha ]==> (^x.(^y.((^z.z) b))) 3. ==[ beta ]==> (^x.(^y.b)) REDUCED to normal form. ------ 66902/5366661. ------ 1. ==[ start ]==> (a (^a.((^a.a) b))) 2. ==[ alpha ]==> (a (^x.((^y.y) b))) 3. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 66903/5366667. ------ 1. ==[ start ]==> ((a a)((^b.b) a)) 2. ==[ alpha ]==> ((a a)((^x.x) a)) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 66904/5366685. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 66905/5366694. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 66906/5366712. ------ 1. ==[ start ]==> (((a a) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 66907/5366739. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 66908/5366766. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 66909/5366793. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 66910/5366820. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 66911/5366847. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 66912/5366874. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 66913/5366901. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 66914/5366919. ------ 1. ==[ start ]==> ((a (^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.a))) REDUCED to normal form. ------ 66915/5366955. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 66916/5366991. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 66917/5367000. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 66918/5367081. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(a a))(a (a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 66919/5367108. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66920/5367162. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 66921/5367180. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 66922/5367261. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 66923/5367270. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 66924/5367297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 66925/5367378. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 66926/5367405. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66927/5367459. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 66928/5367486. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 66929/5367576. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 66930/5367585. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 66931/5367711. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 66932/5367738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (a ((^y.y)((a a) a))) 8. ==[ alpha ]==> (a ((^x.x)((a a) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 66933/5367765. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 66934/5367792. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 66935/5367819. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 66936/5367846. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 66937/5367909. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 66938/5367936. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.a))) REDUCED to normal form. ------ 66939/5367963. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 66940/5367990. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 66941/5368044. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.b))) REDUCED to normal form. ------ 66942/5368080. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66943/5368134. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(b a))) 5. ==[ beta ]==> (a ((^z.z)(b a))) 6. ==[ alpha ]==> (a ((^x.x)(b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 66944/5368215. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 66945/5368242. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 66946/5368296. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 66947/5368377. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 66948/5368476. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a)) c)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a)) c)) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 66949/5368548. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66950/5368647. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(^x1.x1)))) IRREDUCIBLE: cycle. ------ 66951/5368728. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 66952/5368755. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 66953/5368836. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 66954/5368917. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 66955/5368944. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 66956/5368962. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a)(a b))((a a) b)) REDUCED to normal form. ------ 66957/5368989. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b) c)) REDUCED to normal form. ------ 66958/5369115. ------ 1. ==[ start ]==> (((^a.b) b)(c (a b))) 2. ==[ alpha ]==> (((^x.b) b)(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 66959/5369160. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 66960/5369331. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b) b)(a ((a a) a))) REDUCED to normal form. ------ 66961/5369358. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 66962/5369376. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 5. ==[ beta ]==> ((a a)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 66963/5369385. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 66964/5369403. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 66965/5369457. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 11. ==[ beta ]==> ((^y.b)(a (^z.z))) 12. ==[ alpha ]==> ((^x.b)(a (^y.y))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 66966/5369538. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66967/5369610. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 66968/5369637. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 66969/5369664. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b) b)) 3. ==[ beta ]==> ((a ((a a) a))((a b) b)) REDUCED to normal form. ------ 66970/5369763. ------ 1. ==[ start ]==> (((^a.b) c)(d ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (d ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (d ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (d (^y.y))) 6. ==[ alpha ]==> (b (d (^x.x))) REDUCED to normal form. ------ 66971/5369997. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 66972/5370006. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 66973/5370033. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(a b))) 3. ==[ beta ]==> (((a a) b)((a a)(a b))) REDUCED to normal form. ------ 66974/5370078. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 66975/5370159. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 66976/5370240. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(a b))) 3. ==[ beta ]==> (b ((^z.z)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 66977/5370447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 7. ==[ beta ]==> ((^y.y)((^z.b) a)) 8. ==[ alpha ]==> ((^x.x)((^y.b) a)) 9. ==[ beta ]==> ((^y.b) a) 10. ==[ alpha ]==> ((^x.b) a) 11. ==[ beta ]==> b REDUCED to normal form. ------ 66978/5370501. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 66979/5370672. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66980/5370753. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 66981/5370861. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 66982/5370888. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 66983/5370924. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 66984/5370942. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.a)) 6. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 66985/5370951. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 66986/5371005. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 66987/5371032. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 66988/5371059. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 66989/5371086. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 66990/5371131. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 66991/5371149. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 66992/5371176. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 66993/5371203. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 66994/5371230. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 66995/5371257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 66996/5371284. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 66997/5371311. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a) c)) 3. ==[ beta ]==> (((a b)(a (a a)))(a c)) REDUCED to normal form. ------ 66998/5371410. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 66999/5371419. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 67000/5371509. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 67001/5371590. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67002/5371698. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67003/5371707. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b a)) REDUCED to normal form. ------ 67004/5371725. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 67005/5371734. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 67006/5371806. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.a))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 67007/5371815. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 67008/5371887. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67009/5371896. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 67010/5371950. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (a a))) REDUCED to normal form. ------ 67011/5371995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67012/5372004. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 67013/5372022. ------ 1. ==[ start ]==> ((a (^b.b))(c (^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.y))) REDUCED to normal form. ------ 67014/5372040. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 67015/5372067. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x))(b a)) c) REDUCED to normal form. ------ 67016/5372094. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 67017/5372121. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67018/5372148. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y)) a)) 5. ==[ beta ]==> ((a b)((a (^y.y)) a)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 67019/5372175. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a) b)) REDUCED to normal form. ------ 67020/5372202. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 67021/5372229. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 67022/5372256. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 67023/5372301. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67024/5372310. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 67025/5372334. ------ 1. ==[ start ]==> ((^a.((^a.a) b)) a) 2. ==[ alpha ]==> ((^x.((^y.y) b)) a) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67026/5372336. ------ 1. ==[ start ]==> (^a.(a ((^a.a) b))) 2. ==[ alpha ]==> (^x.(x ((^y.y) b))) 3. ==[ beta ]==> (^x.(x b)) REDUCED to normal form. ------ 67027/5372337. ------ 1. ==[ start ]==> (a (a ((^a.a) b))) 2. ==[ alpha ]==> (a (a ((^x.x) b))) 3. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 67028/5372340. ------ 1. ==[ start ]==> ((^a.a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 3. ==[ beta ]==> (^y.((^z.z) b)) 4. ==[ alpha ]==> (^x.((^y.y) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 67029/5378010. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67030/5378013. ------ 1. ==[ start ]==> ((a ((^a.a) b)) a) 2. ==[ alpha ]==> ((a ((^x.x) b)) a) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 67031/5378019. ------ 1. ==[ start ]==> ((^a.a)(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 3. ==[ beta ]==> (a ((^y.y) b)) 4. ==[ alpha ]==> (a ((^x.x) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 67032/5378022. ------ 1. ==[ start ]==> ((a a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 3. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 67033/5378028. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67034/5378046. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 67035/5378073. ------ 1. ==[ start ]==> ((^a.b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((b a)(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 67036/5378154. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a b)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 67037/5378514. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 67038/5378931. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 67039/5378940. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 67040/5378964. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67041/5379228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67042/5379489. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.a))) 5. ==[ beta ]==> (a (^z.(^x1.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 67043/5379777. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(^z.z))) b) 4. ==[ beta ]==> (((a (^x.x))(^z.z)) b) 5. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 67044/5379909. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) b) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) b) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 7. ==[ beta ]==> (((^y.y)(^z.z)) b) 8. ==[ alpha ]==> (((^x.x)(^y.y)) b) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 67045/5380272. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67046/5380281. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 67047/5380296. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.((((a a)(^z.z)) a)(((a a)(^z.z)) a))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y)) a)(((a a)(^z.z)) a))) REDUCED to normal form. ------ 67048/5380503. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((b ((^z.z)(a a)))(b ((^z.z)(a a))))) 4. ==[ alpha ]==> ((^x.x)((b ((^y.y)(a a)))(b ((^z.z)(a a))))) 5. ==[ beta ]==> ((b ((^y.y)(a a)))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((b ((^x.x)(a a)))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((b (a a))(b ((^y.y)(a a)))) 8. ==[ alpha ]==> ((b (a a))(b ((^x.x)(a a)))) 9. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 67049/5380767. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 67050/5381178. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (a b))) 3. ==[ beta ]==> (((b (a b))(b (a b)))(^y.y)) 4. ==[ alpha ]==> (((b (a b))(b (a b)))(^x.x)) REDUCED to normal form. ------ 67051/5381415. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(y y)))) REDUCED to normal form. ------ 67052/5381595. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 67053/5381604. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a y))) 3. ==[ eta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 67054/5381802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z b))) 7. ==[ beta ]==> ((^y.y)(^z.(z b))) 8. ==[ alpha ]==> ((^x.x)(^y.(y b))) 9. ==[ beta ]==> (^y.(y b)) 10. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 67055/5381934. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 67056/5382306. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 67057/5382483. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67058/5382771. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 67059/5383089. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 67060/5383197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67061/5383278. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 67062/5383359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.a))) REDUCED to normal form. ------ 67063/5383374. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67064/5383422. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 67065/5383503. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.c)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.c)) 5. ==[ beta ]==> ((a b)(^y.c)) 6. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 67066/5383557. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 67067/5383656. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67068/5383665. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z z))) REDUCED to normal form. ------ 67069/5383689. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67070/5383692. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67071/5383697. ------ 1. ==[ start ]==> (^a.(^b.(^b.b))) 2. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67072/5383698. ------ 1. ==[ start ]==> (a (^b.(^b.b))) 2. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 67073/5383704. ------ 1. ==[ start ]==> ((a a)(a ((^a.a) b))) 2. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 3. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 67074/5383713. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 67075/5383731. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 67076/5383740. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67077/5383758. ------ 1. ==[ start ]==> ((a b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 67078/5383812. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 67079/5383839. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 67080/5383974. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 67081/5383992. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67082/5384001. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 67083/5384037. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67084/5384064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 67085/5384118. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (a ((a a)(^y.(y y)))) 8. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 67086/5384127. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 67087/5384145. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67088/5384154. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 67089/5384199. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.b)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 67090/5384289. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 67091/5384307. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1))))((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 67092/5384334. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 67093/5384424. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 67094/5384451. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 67095/5384505. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 67096/5384595. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (b a))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (b a))) REDUCED to normal form. ------ 67097/5384613. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67098/5384622. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 67099/5384649. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a a))) REDUCED to normal form. ------ 67100/5384856. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 67101/5384910. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67102/5385117. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 67103/5385288. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 67104/5385342. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 67105/5385369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67106/5385396. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 67107/5385432. ------ 1. ==[ start ]==> (((a a)((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 67108/5385459. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (b a))) REDUCED to normal form. ------ 67109/5385486. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 67110/5385513. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 67111/5385540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((a b)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 67112/5385567. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 67113/5385594. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a b))(^y.y)) 8. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 67114/5385747. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 67115/5385765. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67116/5385774. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 67117/5385792. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.a))) 3. ==[ beta ]==> ((a b)((a b)(^y.a))) 4. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 67118/5385801. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 67119/5385819. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 67120/5385855. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67121/5385882. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 67122/5385909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67123/5385936. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67124/5385954. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67125/5385963. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 67126/5385981. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 67127/5386152. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67128/5386161. ------ 1. ==[ start ]==> (((a b)(a a))(c (a b))) REDUCED to normal form. ------ 67129/5386188. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 67130/5386224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67131/5386278. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b) c)) 5. ==[ beta ]==> ((^y.y)((^y1.b) c)) 6. ==[ alpha ]==> ((^x.x)((^y.b) c)) 7. ==[ beta ]==> ((^y.b) c) 8. ==[ alpha ]==> ((^x.b) c) 9. ==[ beta ]==> b REDUCED to normal form. ------ 67132/5386422. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 67133/5386449. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 67134/5386494. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 11. ==[ beta ]==> ((a b)(^y.(^z.z))) 12. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67135/5386503. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 67136/5386557. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 67137/5386575. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 67138/5386584. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67139/5386611. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 67140/5386800. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67141/5386863. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a b))) REDUCED to normal form. ------ 67142/5386899. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67143/5387043. ------ 1. ==[ start ]==> (((a b) c)(c (^c.a))) 2. ==[ alpha ]==> (((a b) c)(c (^x.a))) REDUCED to normal form. ------ 67144/5387070. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.b))) 3. ==[ beta ]==> (((a a) b)(b (^y.b))) 4. ==[ alpha ]==> (((a a) b)(b (^x.b))) REDUCED to normal form. ------ 67145/5387097. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 67146/5387115. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 67147/5387142. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 67148/5387151. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 67149/5387178. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 67150/5387196. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 67151/5387232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67152/5387259. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 67153/5387277. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 67154/5387286. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 67155/5387313. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 67156/5387430. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(c (^y.y))) 6. ==[ alpha ]==> ((a (a b))(c (^x.x))) REDUCED to normal form. ------ 67157/5387457. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 67158/5387484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a b))) 7. ==[ beta ]==> ((^y.y)(a (a b))) 8. ==[ alpha ]==> ((^x.x)(a (a b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 67159/5387511. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 67160/5387538. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a b) a)(a (^y.y))) 8. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 67161/5387565. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 67162/5387592. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (a (a a)))) REDUCED to normal form. ------ 67163/5387619. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 67164/5387709. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 67165/5387790. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 67166/5387853. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 67167/5387898. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a)) c)) 3. ==[ beta ]==> ((b a)((a (a a)) c)) REDUCED to normal form. ------ 67168/5387961. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 67169/5387988. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 67170/5388060. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 67171/5388096. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 67172/5388123. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 67173/5388168. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 67174/5388402. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 67175/5388456. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a a))) REDUCED to normal form. ------ 67176/5388465. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67177/5388627. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 67178/5388744. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 67179/5388771. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 67180/5388789. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67181/5388852. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 67182/5388879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67183/5388924. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 67184/5388933. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67185/5388960. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 67186/5388987. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 67187/5389041. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.a)) REDUCED to normal form. ------ 67188/5389059. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 67189/5389077. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 67190/5389104. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 67191/5389158. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b b)) 3. ==[ beta ]==> (((a (a a))(a a))(b b)) REDUCED to normal form. ------ 67192/5389185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a c)) 3. ==[ beta ]==> (((^y.y)(a b))(a c)) 4. ==[ alpha ]==> (((^x.x)(a b))(a c)) 5. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 67193/5389212. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (a a))) REDUCED to normal form. ------ 67194/5389239. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 67195/5389266. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 67196/5389293. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 67197/5389338. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67198/5389347. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 67199/5389371. ------ 1. ==[ start ]==> ((^a.((^a.a) b)) b) 2. ==[ alpha ]==> ((^x.((^y.y) b)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67200/5389374. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(a a)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 67201/5389382. ------ 1. ==[ start ]==> (^a.((^a.a)(^b.b))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67202/5389383. ------ 1. ==[ start ]==> (a ((^a.a)(^b.b))) 2. ==[ alpha ]==> (a ((^x.x)(^y.y))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67203/5389386. ------ 1. ==[ start ]==> ((^a.a)(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67204/5389395. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67205/5389710. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.x1))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67206/5394741. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67207/5395056. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67208/5395059. ------ 1. ==[ start ]==> ((a ((^a.a) b)) b) 2. ==[ alpha ]==> ((a ((^x.x) b)) b) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 67209/5395068. ------ 1. ==[ start ]==> (((^a.a)(^b.b)) a) 2. ==[ alpha ]==> (((^x.x)(^y.y)) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67210/5395074. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67211/5395077. ------ 1. ==[ start ]==> ((a a)(^b.(^b.b))) 2. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 67212/5395083. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67213/5395086. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 67214/5395164. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67215/5395326. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (^x.(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (^x.(a ((a a)(^y.y)))) REDUCED to normal form. ------ 67216/5395398. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (^z.z))) 3. ==[ eta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67217/5395401. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 67218/5395668. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(b a))(((^y.(^z.z))(b a))((^y.(^z.z))(b a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.(^x1.x1))(b a))((^y1.(^z1.z1))(b a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(b a))((^y1.(^z1.z1))(b a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a)))) 7. ==[ beta ]==> (((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a))) 8. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 11. ==[ beta ]==> ((^y.(^z.z))(b a)) 12. ==[ alpha ]==> ((^x.(^y.y))(b a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67219/5395995. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 67220/5396451. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a)))((^y1.(^z1.z1))((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a) a)))((^y1.(^z1.z1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a) a)))((^x1.(^y1.y1))((a a) a))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 11. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 12. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67221/5396784. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 67222/5397336. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67223/5397558. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(a a)))((^z.(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67224/5397597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 67225/5397813. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 67226/5398047. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 67227/5398233. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.b)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.b)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67228/5398272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 67229/5398659. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 67230/5398857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 9. ==[ beta ]==> (^y.(^z.y)) 10. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 67231/5398989. ------ 1. ==[ start ]==> ((^a.(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.(^z.z)))) 3. ==[ eta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 67232/5399667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 67233/5399919. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(a (a a)))) 5. ==[ beta ]==> ((a a)(^z.(a (a a)))) 6. ==[ alpha ]==> ((a a)(^x.(a (a a)))) REDUCED to normal form. ------ 67234/5400162. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 67235/5400429. ------ 1. ==[ start ]==> ((^a.(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67236/5400432. ------ 1. ==[ start ]==> ((a (^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 67237/5400504. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 67238/5400558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 67239/5400612. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67240/5400666. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67241/5400711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67242/5400720. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 67243/5400744. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67244/5400747. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67245/5400756. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67246/5400768. ------ 1. ==[ start ]==> ((a a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 67247/5400777. ------ 1. ==[ start ]==> ((a (^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 67248/5400786. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b) a)) 2. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 3. ==[ beta ]==> (a ((^y.y) a)) 4. ==[ alpha ]==> (a ((^x.x) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67249/5400804. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 67250/5400813. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 67251/5400831. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 67252/5400858. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 67253/5400867. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67254/5400912. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67255/5400939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 67256/5400966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 67257/5400993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 67258/5401020. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 67259/5401065. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 67260/5401092. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 67261/5401137. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 67262/5401164. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 67263/5401191. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 67264/5401218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 67265/5401281. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 67266/5401308. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 67267/5401335. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 67268/5401362. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 67269/5401434. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a) b)) 3. ==[ beta ]==> ((a b)((b a) b)) REDUCED to normal form. ------ 67270/5401605. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 67271/5401632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 67272/5401686. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67273/5401722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67274/5401749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 67275/5401803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 67276/5401857. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 67277/5401884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 67278/5401938. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 67279/5402064. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 67280/5402091. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 67281/5402145. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 67282/5402271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a) a)) 3. ==[ beta ]==> (((^y.y) b)((b a) a)) 4. ==[ alpha ]==> (((^x.x) b)((b a) a)) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 67283/5402298. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 67284/5402478. ------ 1. ==[ start ]==> ((a (^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(c (a a))) REDUCED to normal form. ------ 67285/5402667. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67286/5402748. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 67287/5402811. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 67288/5402838. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67289/5402865. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 67290/5402919. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 67291/5402973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67292/5403000. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 67293/5403027. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 67294/5403063. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 67295/5403090. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 67296/5403117. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 67297/5403171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67298/5403225. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 67299/5403252. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 67300/5403261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67301/5403288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 67302/5403342. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 67303/5403423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 67304/5403477. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a b))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 67305/5403504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 67306/5403567. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 67307/5403594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.a))) 7. ==[ beta ]==> ((((a a) a)(^y.a))(((a a) a)(^y.a))) 8. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 67308/5403621. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 67309/5403648. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 67310/5403711. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 67311/5403738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 67312/5403765. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 67313/5403792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 67314/5403846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 67315/5403873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 67316/5403900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 67317/5403927. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 67318/5403963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 67319/5404098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 67320/5404215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 67321/5404242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.b))(^z.a)) 8. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 67322/5404296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67323/5404350. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 67324/5404377. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 67325/5404404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a) b)) REDUCED to normal form. ------ 67326/5404440. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 67327/5404467. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 67328/5404494. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 67329/5404548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.b))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 67330/5404683. ------ 1. ==[ start ]==> ((a (b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 67331/5404917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a) a)) REDUCED to normal form. ------ 67332/5405043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(b (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(b (^x.x))) REDUCED to normal form. ------ 67333/5405106. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67334/5405124. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (b ((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 67335/5405133. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(c c)) REDUCED to normal form. ------ 67336/5405250. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 67337/5405277. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 67338/5405304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 67339/5405331. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 67340/5405358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 67341/5405385. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 67342/5405412. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 67343/5405439. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 67344/5405466. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 67345/5405511. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67346/5405529. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67347/5405610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 67348/5405691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 67349/5405826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 67350/5405853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 67351/5405907. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 67352/5405916. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 67353/5405988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 67354/5405997. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 67355/5406024. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 67356/5406051. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 67357/5406096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67358/5406123. ------ 1. ==[ start ]==> ((a (^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 67359/5406168. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 67360/5406195. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 67361/5406222. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 67362/5406249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 67363/5406276. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 67364/5406303. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67365/5406330. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 67366/5406357. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 67367/5406402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67368/5406411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 67369/5406435. ------ 1. ==[ start ]==> ((^a.((^a.a) b)) c) 2. ==[ alpha ]==> ((^x.((^y.y) b)) c) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67370/5406438. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.y))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 67371/5406447. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67372/5406468. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67373/5408736. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.((a a)(^x1.x1)))(^z.((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((^y.((a a)(^z.z)))(^x1.((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 67374/5411814. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67375/5412129. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67376/5412132. ------ 1. ==[ start ]==> ((a ((^a.a) b)) c) 2. ==[ alpha ]==> ((a ((^x.x) b)) c) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 67377/5412141. ------ 1. ==[ start ]==> (((^a.a)(^b.b)) b) 2. ==[ alpha ]==> (((^x.x)(^y.y)) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67378/5412165. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67379/5412168. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67380/5412177. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) b))) 3. ==[ beta ]==> (a (^y.((^z.z) b))) 4. ==[ alpha ]==> (a (^x.((^y.y) b))) 5. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 67381/5412183. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 3. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67382/5412210. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 67383/5412492. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67384/5412789. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 67385/5412975. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67386/5413101. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67387/5413866. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 67388/5414433. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z)((a a)(^x1.x1)))((^z.z)((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.y)((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.(((a a)(^z.z))((^x1.x1)((a a)(^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a a)(^y.y))((^z.z)((a a)(^x1.x1))))) 7. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 67389/5414436. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 67390/5414679. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67391/5414904. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 67392/5415129. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 67393/5415354. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 67394/5415570. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 67395/5416902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67396/5416908. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^x1.(^y1.y1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67397/5417244. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 67398/5417334. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67399/5417511. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67400/5417514. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 67401/5417586. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.c)) REDUCED to normal form. ------ 67402/5417640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67403/5417694. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.b)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 67404/5417748. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 67405/5417793. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67406/5417826. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67407/5417829. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 67408/5417838. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67409/5417868. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 67410/5417877. ------ 1. ==[ start ]==> (((^a.a) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) b))) 3. ==[ beta ]==> (a (a ((^y.y) b))) 4. ==[ alpha ]==> (a (a ((^x.x) b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 67411/5417886. ------ 1. ==[ start ]==> ((a (a a))((^b.b) a)) 2. ==[ alpha ]==> ((a (a a))((^x.x) a)) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 67412/5417904. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 67413/5417913. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67414/5417931. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 67415/5417958. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 67416/5417985. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 67417/5418012. ------ 1. ==[ start ]==> (((a a) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.x))) REDUCED to normal form. ------ 67418/5418039. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 67419/5418066. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 67420/5418093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(a a))) REDUCED to normal form. ------ 67421/5418147. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 67422/5418192. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (^z.z))) 3. ==[ beta ]==> ((^y.a)(a (^z.z))) 4. ==[ alpha ]==> ((^x.a)(a (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67423/5418219. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67424/5418300. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67425/5418372. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 67426/5418399. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 67427/5418462. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((^y.(^z.z))(b a))((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 9. ==[ beta ]==> ((^y.(^z.z))(b a)) 10. ==[ alpha ]==> ((^x.(^y.y))(b a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67428/5418489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 67429/5418597. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67430/5418678. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67431/5418768. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (b a))) 3. ==[ beta ]==> ((b b)(b (b a))) REDUCED to normal form. ------ 67432/5418804. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67433/5418903. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(a (a a)))) REDUCED to normal form. ------ 67434/5418930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (((a a) a)(^y.y))) 8. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 67435/5418957. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 67436/5418984. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(a b))) REDUCED to normal form. ------ 67437/5419011. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.a))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.a))(a (a a))) REDUCED to normal form. ------ 67438/5419038. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 67439/5419065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b a))) 5. ==[ beta ]==> ((^y.y)((a a)(b a))) 6. ==[ alpha ]==> ((^x.x)((a a)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 67440/5419101. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 67441/5419128. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 67442/5419155. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a a)((a a)(^y.a))) 8. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 67443/5419182. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 67444/5419209. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 67445/5419272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 67446/5419326. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67447/5419434. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67448/5419569. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 67449/5419695. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a)) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 67450/5419740. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 67451/5419920. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67452/5419947. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 67453/5419974. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67454/5420028. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 67455/5420109. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67456/5420136. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 67457/5420154. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 67458/5420181. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) b)) REDUCED to normal form. ------ 67459/5420208. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b) c)) 5. ==[ beta ]==> ((a (^y.y))((a b) c)) 6. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 67460/5420352. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67461/5420379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67462/5420523. ------ 1. ==[ start ]==> (((a b) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 67463/5420550. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 67464/5420577. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 67465/5420595. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 67466/5420604. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 67467/5420649. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 11. ==[ beta ]==> ((^y.(a a))(a a)) 12. ==[ alpha ]==> ((^x.(a a))(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67468/5420730. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67469/5420802. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 67470/5420829. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 67471/5420856. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 67472/5420883. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b) b)) REDUCED to normal form. ------ 67473/5421054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 67474/5421198. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) c)(a (^y.y))) 6. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 67475/5421225. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 67476/5421252. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 67477/5421270. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 67478/5421297. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67479/5421351. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 67480/5421432. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67481/5421666. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 67482/5421693. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a) b)) 3. ==[ beta ]==> (((a b) a)((^y.a) b)) 4. ==[ alpha ]==> (((a b) a)((^x.a) b)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 67483/5421720. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 67484/5421864. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a a))) 5. ==[ beta ]==> (b ((^z.a)(a a))) 6. ==[ alpha ]==> (b ((^x.a)(a a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67485/5421945. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67486/5422053. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 67487/5422080. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 67488/5422116. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 67489/5422134. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 67490/5422143. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.y))) REDUCED to normal form. ------ 67491/5422197. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 67492/5422224. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 67493/5422251. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 67494/5422278. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 67495/5422341. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(b a))(^y.y)) 6. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 67496/5422368. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 67497/5422395. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a (a a))(a (^y.a))) 8. ==[ alpha ]==> ((a (a a))(a (^x.a))) REDUCED to normal form. ------ 67498/5422422. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 67499/5422449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67500/5422476. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 67501/5422503. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a)) b)) REDUCED to normal form. ------ 67502/5422602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67503/5422611. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 67504/5422701. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.(z z)))) 5. ==[ beta ]==> ((a a)(b (^z.(z z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 67505/5422782. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67506/5422890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67507/5422917. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67508/5422926. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 67509/5422944. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 67510/5423007. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 67511/5423034. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)((a a)((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67512/5423079. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (b ((^x1.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67513/5423088. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 67514/5423115. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b c)) REDUCED to normal form. ------ 67515/5423187. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67516/5423196. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (a (^x1.x1)))) REDUCED to normal form. ------ 67517/5423214. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 67518/5423232. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 67519/5423259. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 67520/5423313. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 67521/5423340. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67522/5423367. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 67523/5423394. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a) b)) 3. ==[ beta ]==> (((a b)(^y.y))((a a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((a a) b)) REDUCED to normal form. ------ 67524/5423421. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 67525/5423448. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 67526/5423493. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67527/5423502. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a) a)) REDUCED to normal form. ------ 67528/5423529. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) a)) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 67529/5423538. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67530/5423555. ------ 1. ==[ start ]==> (^a.(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(b (x (^y.(^z.z))))) REDUCED to normal form. ------ 67531/5423556. ------ 1. ==[ start ]==> (a (b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (a (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 67532/5423586. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) b))) 3. ==[ beta ]==> ((^y.((^z.z) b))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67533/5424504. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67534/5425836. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67535/5428311. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^x1.((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67536/5428914. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.c)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67537/5429229. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67538/5429241. ------ 1. ==[ start ]==> (((^a.a)(^b.b)) c) 2. ==[ alpha ]==> (((^x.x)(^y.y)) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 67539/5429265. ------ 1. ==[ start ]==> ((^a.a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 67540/5429286. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 67541/5429292. ------ 1. ==[ start ]==> ((^a.(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((^y.y) b))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) b))) 5. ==[ beta ]==> ((a b)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 67542/5429295. ------ 1. ==[ start ]==> ((a (a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 67543/5429319. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 67544/5429400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((((^z.z)(a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.y)) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 67545/5429589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(a (^z.(^x1.x1))))) 3. ==[ eta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 67546/5429898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67547/5430210. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67548/5430213. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 67549/5430771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(z a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y a))) 5. ==[ beta ]==> (b (^y.(y a))) 6. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 67550/5431050. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) a)(a (a a))) b) 4. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 67551/5431155. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 67552/5431542. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.(^x1.x1)))((a a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 67553/5431545. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67554/5432877. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(^z.z))) a) 4. ==[ beta ]==> (((a a)(^y.(^z.z))) a) 5. ==[ alpha ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 67555/5433075. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(x b))) REDUCED to normal form. ------ 67556/5433180. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(a (a a)))) 3. ==[ eta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 67557/5433417. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 67558/5434011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67559/5434017. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^x1.x1)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67560/5434020. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 67561/5434353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.d)) 3. ==[ beta ]==> ((^y.y)(^z.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 67562/5434551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 67563/5434620. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((a a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67564/5434623. ------ 1. ==[ start ]==> ((a (^b.b))(^c.c)) 2. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 67565/5434641. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 67566/5434830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 67567/5434902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67568/5434911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.b)) REDUCED to normal form. ------ 67569/5434935. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67570/5434938. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y y))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 67571/5434947. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 67572/5434977. ------ 1. ==[ start ]==> ((a a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 67573/5434995. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67574/5435004. ------ 1. ==[ start ]==> ((a (a a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))(a ((^x.x) b))) 3. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 67575/5435013. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67576/5435031. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 67577/5435040. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 67578/5435085. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 67579/5435112. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 67580/5435247. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 67581/5435265. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 67582/5435274. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(b a))) REDUCED to normal form. ------ 67583/5435301. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 67584/5435337. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67585/5435346. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 67586/5435391. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 67587/5435400. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 67588/5435418. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 67589/5435427. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 67590/5435454. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 67591/5435562. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 67592/5435607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67593/5435643. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67594/5435661. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 5. ==[ beta ]==> ((^y.y)((b a) b)) 6. ==[ alpha ]==> ((^x.x)((b a) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 67595/5435724. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 67596/5435751. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 67597/5435895. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (b a))) REDUCED to normal form. ------ 67598/5435922. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 67599/5435931. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67600/5436390. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 67601/5436444. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 67602/5436480. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(b a))) 5. ==[ beta ]==> (b ((^y.y)(b a))) 6. ==[ alpha ]==> (b ((^x.x)(b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 67603/5436525. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 67604/5436561. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 67605/5436588. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 67606/5436615. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 67607/5436642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67608/5436669. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 67609/5436732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 67610/5436759. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a (b a))) 3. ==[ beta ]==> ((a (a (a a)))(a (b a))) REDUCED to normal form. ------ 67611/5436786. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 67612/5436813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 67613/5436840. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a b) a)) REDUCED to normal form. ------ 67614/5436867. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 67615/5437038. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 67616/5437047. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 67617/5437065. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67618/5437074. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 67619/5437092. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 67620/5437128. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 67621/5437146. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 67622/5437155. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 67623/5437182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67624/5437209. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 67625/5437227. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 67626/5437236. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 67627/5437254. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 67628/5437425. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67629/5437551. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67630/5437695. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.b))) REDUCED to normal form. ------ 67631/5437722. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(a a)))) REDUCED to normal form. ------ 67632/5437767. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 11. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 12. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 67633/5437776. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 67634/5437803. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> (((^y.b)(a (^z.z)))((^y.b)(a (^z.z)))) 8. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1)))) 9. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 10. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 67635/5437830. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 67636/5437848. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 67637/5437857. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 67638/5437884. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 67639/5438073. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67640/5438316. ------ 1. ==[ start ]==> (((a b) c)(d (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d (^x.(^y.y)))) REDUCED to normal form. ------ 67641/5438343. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.a))) 3. ==[ beta ]==> (((a a) b)(c (^y.a))) 4. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 67642/5438370. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.b))) REDUCED to normal form. ------ 67643/5438415. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67644/5438424. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 67645/5438451. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 67646/5438469. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.a)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 67647/5438505. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67648/5438532. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 67649/5438550. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 67650/5438559. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 67651/5438586. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 67652/5438613. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 67653/5438757. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a) a))) 7. ==[ beta ]==> ((^y.y)(b ((a a) a))) 8. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 9. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 67654/5438784. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 67655/5438811. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(a a))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(a a))) REDUCED to normal form. ------ 67656/5438838. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 67657/5438865. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (a a)) a)) REDUCED to normal form. ------ 67658/5438892. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((a (b a))(a (a (a a)))) REDUCED to normal form. ------ 67659/5438982. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(^z.z))) 5. ==[ beta ]==> (b (((a a) a)(^z.z))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 67660/5439063. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 67661/5439126. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 67662/5439171. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((b a)((^y.y) b)) 6. ==[ alpha ]==> ((b a)((^x.x) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 67663/5439234. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 67664/5439261. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 67665/5439333. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 67666/5439540. ------ 1. ==[ start ]==> (((a (a a))(a b))(c d)) REDUCED to normal form. ------ 67667/5439720. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67668/5439729. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 67669/5439738. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67670/5439900. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 67671/5440008. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67672/5440017. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 67673/5440044. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 67674/5440116. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.a) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.a) b)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 67675/5440125. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 67676/5440152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.a))) 5. ==[ beta ]==> ((^y.b)(b (^z.a))) 6. ==[ alpha ]==> ((^x.b)(b (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67677/5440197. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 67678/5440206. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 67679/5440233. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 67680/5440260. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 67681/5440305. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67682/5440314. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 67683/5440332. ------ 1. ==[ start ]==> ((a (^b.b))((a a) c)) 2. ==[ alpha ]==> ((a (^x.x))((a a) c)) REDUCED to normal form. ------ 67684/5440350. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 67685/5440377. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(a a))) REDUCED to normal form. ------ 67686/5440404. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 67687/5440458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b b)) 3. ==[ beta ]==> (((^y.y)(a b))(b b)) 4. ==[ alpha ]==> (((^x.x)(a b))(b b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 67688/5440512. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (a a))) 3. ==[ beta ]==> (((a b)(^y.y))(b (a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (a a))) REDUCED to normal form. ------ 67689/5440539. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 67690/5440566. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 67691/5440611. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67692/5440620. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a b)) REDUCED to normal form. ------ 67693/5440647. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (a a))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 67694/5440656. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67695/5440682. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67696/5440683. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67697/5440713. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67698/5441631. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67699/5445438. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67700/5446356. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67701/5446395. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1)))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67702/5446401. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67703/5446410. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67704/5446428. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67705/5446431. ------ 1. ==[ start ]==> ((a (a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 67706/5446440. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 67707/5446491. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67708/5446653. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (^x.((a (a a))(a a))) REDUCED to normal form. ------ 67709/5446725. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67710/5446737. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67711/5446995. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)((a a)(^z.z)))(((^y.a)((a a)(^z.z)))((^y.a)((a a)(^z.z))))) 4. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))(((^z.a)((a a)(^x1.x1)))((^y1.a)((a a)(^z1.z1))))) 5. ==[ beta ]==> (a (((^z.a)((a a)(^x1.x1)))((^y1.a)((a a)(^z1.z1))))) 6. ==[ alpha ]==> (a (((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1))))) 7. ==[ beta ]==> (a (a ((^z.a)((a a)(^x1.x1))))) 8. ==[ alpha ]==> (a (a ((^x.a)((a a)(^y.y))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 67712/5447346. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67713/5447349. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 67714/5447358. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67715/5447646. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 67716/5447907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 5. ==[ beta ]==> (b (^y.(^z.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 67717/5448699. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 67718/5448885. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.b))((^z.a)(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.b))((^x1.a)(^y1.b)))) 5. ==[ beta ]==> (((^y.a)(^z.b))((^x1.a)(^y1.b))) 6. ==[ alpha ]==> (((^x.a)(^y.b))((^z.a)(^x1.b))) 7. ==[ beta ]==> (a ((^z.a)(^x1.b))) 8. ==[ alpha ]==> (a ((^x.a)(^y.b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67719/5449401. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^x.(a a))) REDUCED to normal form. ------ 67720/5449560. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^z.a)(^x1.a))((^z.a)(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.a)(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 67721/5450211. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 67722/5450553. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 67723/5450865. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67724/5450886. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.x))) REDUCED to normal form. ------ 67725/5451021. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67726/5451153. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.x1)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67727/5451156. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 67728/5451165. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67729/5451687. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 67730/5451756. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67731/5451777. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 67732/5451858. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.x))) REDUCED to normal form. ------ 67733/5451912. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 67734/5451966. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67735/5452038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67736/5452047. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(a a))) REDUCED to normal form. ------ 67737/5452071. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67738/5452074. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 67739/5452083. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 67740/5452110. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 3. ==[ beta ]==> ((^y.y)(^z1.z1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67741/5452122. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 67742/5452131. ------ 1. ==[ start ]==> ((a (^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 67743/5452149. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 67744/5452158. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 67745/5452167. ------ 1. ==[ start ]==> (((a a) a)((^b.b) a)) 2. ==[ alpha ]==> (((a a) a)((^x.x) a)) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 67746/5452185. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 67747/5452194. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 67748/5452212. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 67749/5452266. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67750/5452293. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67751/5452320. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 67752/5452347. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 67753/5452374. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 67754/5452446. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 67755/5452455. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.a)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67756/5452491. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 67757/5452518. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 67758/5452545. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 67759/5452572. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 67760/5452599. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 67761/5452662. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 67762/5452689. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 67763/5452716. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 67764/5452788. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 67765/5452815. ------ 1. ==[ start ]==> (((a (a a)) a)((b a) b)) REDUCED to normal form. ------ 67766/5452959. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 67767/5452986. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 67768/5453013. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 67769/5453067. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 67770/5453076. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67771/5453103. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 67772/5453157. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 67773/5453211. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 67774/5453238. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 67775/5453292. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 67776/5453364. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 67777/5453445. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 67778/5453472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 67779/5453652. ------ 1. ==[ start ]==> ((((a a) a) a)((b a) a)) REDUCED to normal form. ------ 67780/5453706. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) c)) REDUCED to normal form. ------ 67781/5453850. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 67782/5454021. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67783/5454102. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a b))) IRREDUCIBLE: cycle. ------ 67784/5454192. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 67785/5454219. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 67786/5454273. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 67787/5454300. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 67788/5454327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.a)((a (a a))(^z.a))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 67789/5454354. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 67790/5454381. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 67791/5454417. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 67792/5454471. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 67793/5454498. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 67794/5454552. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 67795/5454579. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 67796/5454606. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 67797/5454615. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a b))) 3. ==[ beta ]==> ((^y.(a a))(c (a b))) 4. ==[ alpha ]==> ((^x.(a a))(c (a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67798/5454642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 67799/5454696. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(a a))(a a)) 8. ==[ alpha ]==> (((^x.x)(a a))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 67800/5454777. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 67801/5454831. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 67802/5454858. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 67803/5454921. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 67804/5454948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 67805/5454975. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 67806/5455002. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 67807/5455029. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 67808/5455065. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 67809/5455092. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 67810/5455119. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 7. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 67811/5455146. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 67812/5455173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 67813/5455218. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z)) d)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) d)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) d)) 5. ==[ beta ]==> (b ((^y.y) d)) 6. ==[ alpha ]==> (b ((^x.x) d)) 7. ==[ beta ]==> (b d) REDUCED to normal form. ------ 67814/5455227. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 67815/5455254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 67816/5455281. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 67817/5455317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 67818/5455452. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 67819/5455533. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 67820/5455569. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.z))) REDUCED to normal form. ------ 67821/5455596. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 67822/5455650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67823/5455677. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 67824/5455704. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 67825/5455731. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 67826/5455758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 67827/5455821. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 67828/5455848. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (a b))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 67829/5455875. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 67830/5455929. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.b)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 67831/5456271. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 67832/5456397. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(c (a (a a)))) REDUCED to normal form. ------ 67833/5456460. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 67834/5456478. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 67835/5456487. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 67836/5456514. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y)) c)) 5. ==[ beta ]==> (((a a)(^x.a))(c c)) REDUCED to normal form. ------ 67837/5456586. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 67838/5456604. ------ 1. ==[ start ]==> (((a a)(b a))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.a))) REDUCED to normal form. ------ 67839/5456631. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 67840/5456658. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 67841/5456685. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 67842/5456712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 67843/5456739. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 67844/5456766. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 67845/5456793. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 67846/5456820. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 67847/5456874. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 67848/5456883. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67849/5456964. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a (^x.x)) a)) REDUCED to normal form. ------ 67850/5457162. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 67851/5457207. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67852/5457261. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(a a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a a))) 9. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 67853/5457270. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 67854/5457297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 67855/5457351. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 67856/5457378. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 67857/5457405. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 67858/5457459. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1)) b)) REDUCED to normal form. ------ 67859/5457477. ------ 1. ==[ start ]==> ((a (^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 67860/5457495. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.a)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 67861/5457522. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.y))) REDUCED to normal form. ------ 67862/5457549. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 67863/5457576. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.a))) REDUCED to normal form. ------ 67864/5457603. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67865/5457630. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 67866/5457657. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 67867/5457684. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 67868/5457711. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 67869/5457756. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67870/5457765. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 67871/5457792. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67872/5457801. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 67873/5457828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67874/5463510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67875/5463549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1)))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67876/5463573. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67877/5463603. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67878/5463612. ------ 1. ==[ start ]==> (((a a) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 67879/5463618. ------ 1. ==[ start ]==> ((^a.b)((^b.b) a)) 2. ==[ alpha ]==> ((^x.b)((^y.y) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 67880/5463927. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67881/5464059. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 67882/5464383. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67883/5464521. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67884/5464941. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z))))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 67885/5465274. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 67886/5465610. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 67887/5465841. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1)(a a)))((^z.(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2)(a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1)(a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67888/5465862. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 67889/5467005. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 67890/5467572. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.b))) 5. ==[ beta ]==> (b (^z.(^x1.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 67891/5467905. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 67892/5468028. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 67893/5468328. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67894/5468787. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 67895/5468919. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67896/5469021. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> (((a (a a))(a a))(^y.c)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.c)) REDUCED to normal form. ------ 67897/5469234. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 67898/5469237. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.a)) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 67899/5469246. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67900/5469273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67901/5469303. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 67902/5469312. ------ 1. ==[ start ]==> (((^a.a) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (a (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (a (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 67903/5469330. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67904/5469339. ------ 1. ==[ start ]==> (((a a) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)(a ((^x.x) b))) 3. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 67905/5469348. ------ 1. ==[ start ]==> ((a b)((^b.b) a)) 2. ==[ alpha ]==> ((a b)((^x.x) a)) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 67906/5469366. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 67907/5469393. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((b a)(a (^y.y)))) 3. ==[ beta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 67908/5469420. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 67909/5469447. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 67910/5469474. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 67911/5469501. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 67912/5469528. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 67913/5469582. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 67914/5469627. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 67915/5469654. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 67916/5469789. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 67917/5469834. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 67918/5469861. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 67919/5469897. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.a)((a a)(^z.z)))((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (a ((^z.a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67920/5469924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67921/5469978. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67922/5470086. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 67923/5470113. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 67924/5470203. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((b b)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 67925/5470248. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67926/5470338. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) b)((a a) a)) REDUCED to normal form. ------ 67927/5470365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(a (a a)))) 5. ==[ beta ]==> (a ((a b)(a (a a)))) REDUCED to normal form. ------ 67928/5470392. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 67929/5470419. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 67930/5470446. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 67931/5470473. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 67932/5470500. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 67933/5470563. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(^y.y))) REDUCED to normal form. ------ 67934/5470590. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 67935/5470617. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 67936/5470644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 67937/5470671. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 67938/5470707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67939/5470761. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67940/5470923. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 67941/5471004. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.b))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 67942/5471157. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 67943/5471175. ------ 1. ==[ start ]==> (((^a.b) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)((^y.y) a))) 3. ==[ beta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 67944/5471337. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 67945/5471382. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 67946/5471409. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67947/5471544. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67948/5471571. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 67949/5471589. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 67950/5471616. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 67951/5471643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 67952/5471670. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b) c)) REDUCED to normal form. ------ 67953/5471787. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 67954/5471814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67955/5471958. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b) b)(a (a a))) REDUCED to normal form. ------ 67956/5471985. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 67957/5472012. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 67958/5472030. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (^z.b))) 3. ==[ beta ]==> ((^y.y)(c (^z.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 67959/5472039. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a b))) REDUCED to normal form. ------ 67960/5472165. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67961/5472264. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 67962/5472291. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 67963/5472318. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 67964/5472345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b) b)) 5. ==[ beta ]==> ((a (a a))((a b) b)) REDUCED to normal form. ------ 67965/5472489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67966/5472633. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(a (a a)))) REDUCED to normal form. ------ 67967/5472660. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) b)(a (^y.y))) 8. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 67968/5472687. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))((a a) a))) REDUCED to normal form. ------ 67969/5472705. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 67970/5472732. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 67971/5472867. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 67972/5472966. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 67973/5473128. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b) a)) 3. ==[ beta ]==> (((a b) a)((^y.b) a)) 4. ==[ alpha ]==> (((a b) a)((^x.b) a)) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 67974/5473182. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 67975/5473299. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.b))) 5. ==[ beta ]==> (b (a (^z.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 67976/5473380. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 67977/5473488. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 67978/5473515. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67979/5473569. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 67980/5473578. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (a (a a)))) REDUCED to normal form. ------ 67981/5473632. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 67982/5473659. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 67983/5473686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 67984/5473713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 67985/5473758. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 67986/5473803. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 67987/5473830. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 67988/5473857. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.a))) REDUCED to normal form. ------ 67989/5473884. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 67990/5473911. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 67991/5473938. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) a)) 5. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 67992/5473965. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a)) b)) 5. ==[ beta ]==> (((a a) a)((a (a a)) b)) REDUCED to normal form. ------ 67993/5474037. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67994/5474055. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 67995/5474136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.a))) 5. ==[ beta ]==> ((a a)(c (^z.a))) 6. ==[ alpha ]==> ((a a)(c (^x.a))) REDUCED to normal form. ------ 67996/5474217. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 67997/5474325. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 67998/5474352. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 67999/5474379. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68000/5474442. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 68001/5474469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68002/5474514. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 68003/5474577. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b c)) REDUCED to normal form. ------ 68004/5474622. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68005/5474649. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 68006/5474694. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 68007/5474721. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 68008/5474775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 68009/5474802. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 68010/5474829. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 68011/5474856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((a a) b)) REDUCED to normal form. ------ 68012/5474883. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 68013/5474928. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68014/5474937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.z))) REDUCED to normal form. ------ 68015/5474964. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a) a)) 3. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 68016/5474973. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68017/5475000. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.z1))) 3. ==[ beta ]==> ((^y.y)(a (^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 68018/5475075. ------ 1. ==[ start ]==> ((^a.b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68019/5480691. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68020/5480781. ------ 1. ==[ start ]==> ((^a.(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b (a (^y.(^z.z))))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b (a (^x.(^y.y))))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 68021/5480802. ------ 1. ==[ start ]==> (((a a) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 68022/5480808. ------ 1. ==[ start ]==> ((^a.b)(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(a ((^y.y) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68023/5480811. ------ 1. ==[ start ]==> ((a b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) b))) 3. ==[ beta ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 68024/5480844. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68025/5480889. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^z.z))((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 68026/5481078. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))(b a))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 68027/5481126. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 68028/5481249. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 68029/5481423. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 68030/5481699. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68031/5482287. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x a))) REDUCED to normal form. ------ 68032/5482566. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))((^x.x) a)) b) 4. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 68033/5482644. ------ 1. ==[ start ]==> ((^a.(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)((^y.y) a)) b) 4. ==[ alpha ]==> (((a b)((^x.x) a)) b) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 68034/5483031. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.(a a)))((a (^z.z))(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(a a))))) REDUCED to normal form. ------ 68035/5483556. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 68036/5484204. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 68037/5484393. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 68038/5484591. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(y b))) 3. ==[ beta ]==> (((a b) a)(^y.(y b))) 4. ==[ alpha ]==> (((a b) a)(^x.(x b))) REDUCED to normal form. ------ 68039/5484669. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))((^y.y) a))) 3. ==[ eta ]==> (b ((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 68040/5485095. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 68041/5485239. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 68042/5485506. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 68043/5485986. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 68044/5486109. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68045/5486157. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 68046/5486292. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.c)) REDUCED to normal form. ------ 68047/5486346. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (^z.z)))) REDUCED to normal form. ------ 68048/5486391. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68049/5486424. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68050/5486427. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 68051/5486436. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 68052/5486463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.a)) 3. ==[ beta ]==> ((^y.y)(^z1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 68053/5486511. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 68054/5486520. ------ 1. ==[ start ]==> ((a (a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 68055/5486538. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68056/5486547. ------ 1. ==[ start ]==> ((a b)(a ((^a.a) b))) 2. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 68057/5486556. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68058/5486583. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 68059/5486601. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 68060/5486628. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 68061/5486763. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 68062/5486790. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 68063/5486817. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 68064/5486862. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 68065/5486889. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 68066/5486907. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 68067/5486934. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 68068/5486970. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 68069/5486988. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 68070/5487078. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 68071/5487159. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 68072/5487177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 7. ==[ beta ]==> ((a (^y.(^z.z))) a) 8. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 68073/5487186. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 68074/5487204. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a) b)) 3. ==[ beta ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 68075/5487240. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 68076/5487267. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 68077/5487294. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 68078/5487402. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 68079/5487438. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (b a))) 3. ==[ beta ]==> ((a (^y.y))(b (b a))) 4. ==[ alpha ]==> ((a (^x.x))(b (b a))) REDUCED to normal form. ------ 68080/5487474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68081/5487735. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 68082/5487906. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 68083/5487960. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (a (a (^y.(a a)))) 8. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 68084/5487996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68085/5488023. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(b a))) 3. ==[ beta ]==> ((((a a) a) a)(b a)) REDUCED to normal form. ------ 68086/5488041. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a) a)) 3. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 68087/5488068. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 68088/5488077. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 68089/5488104. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 68090/5488131. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 68091/5488185. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68092/5488275. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 68093/5488302. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a (b a))) 3. ==[ beta ]==> (((a (a a)) a)(a (b a))) REDUCED to normal form. ------ 68094/5488329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 68095/5488356. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 68096/5488383. ------ 1. ==[ start ]==> ((a (a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((a b)((^x.x) a))) 3. ==[ beta ]==> ((a (a b))((a b) a)) REDUCED to normal form. ------ 68097/5488536. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 68098/5488581. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 68099/5488590. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 68100/5488608. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 68101/5488644. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 68102/5488662. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 68103/5488698. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68104/5488725. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 68105/5488743. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 68106/5488752. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 68107/5488770. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 68108/5488941. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68109/5489067. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68110/5489148. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (b ((^x1.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68111/5489238. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.b))) REDUCED to normal form. ------ 68112/5489292. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 68113/5489319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a a))) 7. ==[ beta ]==> (((^y.(a a))(a a))((^y.(a a))(a a))) 8. ==[ alpha ]==> (((^x.(a a))(a a))((^y.(a a))(a a))) 9. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 68114/5489346. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 68115/5489364. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 68116/5489373. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 68117/5489400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68118/5489589. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68119/5489940. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(a a)))) REDUCED to normal form. ------ 68120/5489967. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(a a))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 68121/5489985. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 68122/5490021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68123/5490048. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 68124/5490066. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 68125/5490075. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 68126/5490102. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68127/5490129. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 68128/5490300. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 68129/5490327. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (a b))) 3. ==[ beta ]==> (((a b) a)(a (a b))) REDUCED to normal form. ------ 68130/5490354. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 68131/5490381. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 68132/5490408. ------ 1. ==[ start ]==> ((a (b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((a (b a))((a (a a)) a)) REDUCED to normal form. ------ 68133/5490579. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 68134/5490642. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 68135/5490687. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a) a)) 3. ==[ beta ]==> ((b a)(((a a) a) a)) REDUCED to normal form. ------ 68136/5490714. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 68137/5490750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 68138/5490777. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 68139/5490831. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 68140/5490849. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68141/5490975. ------ 1. ==[ start ]==> (((a a)(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(b a))((a a)(^x.x))) REDUCED to normal form. ------ 68142/5491236. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68143/5491245. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a (a a)))) REDUCED to normal form. ------ 68144/5491335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) c)) 5. ==[ beta ]==> ((a a)((^z.a) c)) 6. ==[ alpha ]==> ((a a)((^x.a) c)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68145/5491416. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (b ((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 68146/5491524. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68147/5491533. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 68148/5491551. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 68149/5491560. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 68150/5491578. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z)) c)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 5. ==[ beta ]==> ((a (^y.y)) c) 6. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 68151/5491632. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y)) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y)) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 68152/5491668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68153/5491722. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 68154/5491749. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 68155/5491776. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 68156/5491821. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68157/5491830. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 68158/5491848. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 68159/5491866. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 68160/5491893. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 68161/5491920. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 68162/5491947. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 68163/5491974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c a)) 3. ==[ beta ]==> (((^y.y)(a b))(c a)) 4. ==[ alpha ]==> (((^x.x)(a b))(c a)) 5. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 68164/5492001. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b b)) REDUCED to normal form. ------ 68165/5492028. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a c)) 3. ==[ beta ]==> (((a b)(^y.y))(a c)) 4. ==[ alpha ]==> (((a b)(^x.x))(a c)) REDUCED to normal form. ------ 68166/5492055. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 68167/5492082. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (a (^y.y)))) REDUCED to normal form. ------ 68168/5492127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68169/5492136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b a)) REDUCED to normal form. ------ 68170/5492163. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(a b)) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 68171/5492172. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68172/5492199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1) a)) 3. ==[ beta ]==> ((^y.y)((^z1.z1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68173/5492283. ------ 1. ==[ start ]==> ((^a.b)(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68174/5497899. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68175/5497998. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 5. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68176/5498025. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68177/5498028. ------ 1. ==[ start ]==> ((a b)(^b.(^b.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 68178/5498037. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 68179/5498061. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68180/5498223. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (^x.((^z.z)(a b))) 6. ==[ alpha ]==> (^x.((^y.y)(a b))) 7. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 68181/5498565. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))((^z.z)(a a)))(((^y.(y y))((^z.z)(a a)))((^y.(y y))((^z.z)(a a))))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.(z z))((^x1.x1)(a a)))((^y1.(y1 y1))((^z1.z1)(a a))))) 5. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.(z z))((^x1.x1)(a a)))((^y1.(y1 y1))((^z1.z1)(a a))))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.(z z))((^x1.x1)(a a)))((^y1.(y1 y1))((^z1.z1)(a a))))) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.(z z))((^x1.x1)(a a)))((^y1.(y1 y1))((^z1.z1)(a a))))) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.(y y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 9. ==[ beta ]==> (((a a)(a a))(((^y.(y y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 10. ==[ alpha ]==> (((a a)(a a))(((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))) 11. ==[ beta ]==> (((a a)(a a))((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))) 12. ==[ alpha ]==> (((a a)(a a))((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))) 13. ==[ beta ]==> (((a a)(a a))(((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))) 14. ==[ alpha ]==> (((a a)(a a))(((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a))))) 15. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((^y.(y y))((^z.z)(a a))))) 16. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))((^x.(x x))((^y.y)(a a))))) 17. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(((^y.y)(a a))((^y.y)(a a))))) 18. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(((^x.x)(a a))((^y.y)(a a))))) 19. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)((^y.y)(a a))))) 20. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))((a a)((^x.x)(a a))))) 21. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 68182/5498640. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 68183/5498955. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 68184/5499243. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 68185/5499348. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((^y.b)(a (a a)))((^y.b)(a (a a))))((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.b)(a (a a)))((^y.b)(a (a a))))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((b ((^y.b)(a (a a))))((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((b ((^x.b)(a (a a))))((^y.b)(a (a a)))) 7. ==[ beta ]==> ((b b)((^y.b)(a (a a)))) 8. ==[ alpha ]==> ((b b)((^x.b)(a (a a)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 68186/5500035. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 68187/5500296. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 68188/5500548. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (^y.((y y)(^z.z))) 8. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 68189/5500998. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 68190/5501130. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))(^y1.y1)) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 13. ==[ beta ]==> ((^y.y)(^y1.y1)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68191/5501808. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.y))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.x))) REDUCED to normal form. ------ 68192/5501979. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((a a) a))) 5. ==[ beta ]==> (b (^z.((a a) a))) 6. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 68193/5502330. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 68194/5502435. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 68195/5502618. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 68196/5502723. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(z1 z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68197/5503113. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z (z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z (z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y (y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y (y y)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 68198/5503194. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 68199/5503326. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68200/5503374. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.a))) REDUCED to normal form. ------ 68201/5503455. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.y))) 5. ==[ beta ]==> ((a b)(^y.(^z.y))) 6. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 68202/5503509. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 68203/5503563. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 68204/5503608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68205/5503617. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 68206/5503641. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68207/5503644. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a a))) 3. ==[ beta ]==> ((a b)(^y.(a a))) 4. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 68208/5503653. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 68209/5503680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 z1))) 3. ==[ beta ]==> ((^y.y)(^z1.(z1 z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 68210/5503746. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68211/5503755. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 68212/5503773. ------ 1. ==[ start ]==> ((a b)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68213/5503782. ------ 1. ==[ start ]==> (((^a.a)(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y) b))) 3. ==[ beta ]==> ((a a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 68214/5503791. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 68215/5503809. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 68216/5503818. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 68217/5503863. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68218/5503872. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 68219/5503890. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 68220/5503917. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 68221/5503944. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 68222/5503971. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 68223/5504052. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 68224/5504079. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 68225/5504115. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 68226/5504142. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 68227/5504169. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) REDUCED to normal form. ------ 68228/5504196. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 68229/5504232. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 68230/5504286. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68231/5504304. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 68232/5504313. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 68233/5504385. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 68234/5504412. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 68235/5504439. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a) b)) REDUCED to normal form. ------ 68236/5504466. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 68237/5504583. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 68238/5504610. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 68239/5504637. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 68240/5504673. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68241/5504700. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 68242/5504754. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 68243/5504763. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 68244/5504808. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 68245/5504835. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68246/5504889. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 68247/5504988. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 68248/5505069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 68249/5505096. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 68250/5505222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 68251/5505303. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) b)) REDUCED to normal form. ------ 68252/5505447. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 68253/5505474. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 68254/5505600. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a)) c)) 3. ==[ beta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 68255/5505618. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.b)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)((a b)((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68256/5505699. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((a a) a))) IRREDUCIBLE: cycle. ------ 68257/5505780. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 68258/5505816. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 68259/5505870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 68260/5505897. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 68261/5505924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68262/5505978. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 68263/5506014. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 68264/5506041. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 68265/5506095. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 68266/5506122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 7. ==[ beta ]==> (a ((^y.b)(^z.a))) 8. ==[ alpha ]==> (a ((^x.b)(^y.a))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 68267/5506176. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 68268/5506239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (a b))) 3. ==[ beta ]==> ((^y.y)(c (a b))) 4. ==[ alpha ]==> ((^x.x)(c (a b))) 5. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 68269/5506293. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 68270/5506374. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 68271/5506383. ------ 1. ==[ start ]==> (((a b) b)((^c.a) d)) 2. ==[ alpha ]==> (((a b) b)((^x.a) d)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 68272/5506428. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 68273/5506455. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 68274/5506509. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 10. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 68275/5506545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> ((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z))) 8. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 9. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 11. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 12. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 68276/5506572. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 68277/5506599. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 68278/5506626. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 68279/5506662. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 68280/5506689. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 68281/5506716. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 68282/5506743. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 68283/5506770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 68284/5506797. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 68285/5506815. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 68286/5506824. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 68287/5506851. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 68288/5506878. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 68289/5506914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 68290/5507049. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68291/5507058. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 68292/5507130. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 68293/5507157. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 68294/5507193. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> ((a (^y.b))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 68295/5507247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68296/5507274. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 68297/5507301. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 68298/5507355. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 68299/5507391. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 68300/5507445. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 68301/5507472. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 68302/5507499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 68303/5507553. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b) a)(^y.b)) 6. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 68304/5507724. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 68305/5507868. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 68306/5507976. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 68307/5508075. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 68308/5508084. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 68309/5508111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 68310/5508183. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 68311/5508201. ------ 1. ==[ start ]==> (((a a)(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 68312/5508255. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68313/5508282. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 68314/5508309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 68315/5508336. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68316/5508363. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 68317/5508390. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68318/5508417. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 68319/5508471. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 68320/5508480. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68321/5508561. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(a (a (^x.x)))) REDUCED to normal form. ------ 68322/5508759. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a)) a)) REDUCED to normal form. ------ 68323/5508786. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 68324/5508804. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(c (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 68325/5508858. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 68326/5508867. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 68327/5508894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) b)) 5. ==[ beta ]==> ((^y.b)((^z.a) b)) 6. ==[ alpha ]==> ((^x.b)((^y.a) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68328/5508939. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 68329/5508975. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 68330/5509002. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 68331/5509056. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 68332/5509074. ------ 1. ==[ start ]==> ((a (^b.b))(c (a a))) 2. ==[ alpha ]==> ((a (^x.x))(c (a a))) REDUCED to normal form. ------ 68333/5509092. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 68334/5509119. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 68335/5509173. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 68336/5509200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 68337/5509227. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 68338/5509254. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 68339/5509281. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 68340/5509308. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 68341/5509353. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68342/5509362. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 68343/5509389. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a a))) 3. ==[ beta ]==> ((a b)((^y.y)(a a))) 4. ==[ alpha ]==> ((a b)((^x.x)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 68344/5509398. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 68345/5509425. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 68346/5515134. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68347/5515281. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 68348/5515290. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 68349/5515587. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 68350/5515710. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 68351/5515809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.(a a)))(((a (a a))(^y.(a a)))((a (a a))(^y.(a a))))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a (a a))(^y.(a a)))((a (a a))(^z.(a a))))) REDUCED to normal form. ------ 68352/5515902. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 68353/5516034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68354/5516199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 68355/5516592. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((((a b)(^y.(y y)))((a b)(^y.(y y))))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((((a b)(^x.(x x)))((a b)(^y.(y y))))((a b)(^z.(z z)))) REDUCED to normal form. ------ 68356/5516766. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y a))) 3. ==[ beta ]==> (((a a) a)(^y.(y a))) 4. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 68357/5516925. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 68358/5517105. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a)) c)) 3. ==[ beta ]==> (((^y.(a a)) c) b) 4. ==[ alpha ]==> (((^x.(a a)) c) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 68359/5517288. ------ 1. ==[ start ]==> (((a b) a)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 68360/5517492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a b))) 3. ==[ beta ]==> (^y.(((^z.a)(a b))((^z.a)(a b)))) 4. ==[ alpha ]==> (^x.(((^y.a)(a b))((^z.a)(a b)))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a b)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a b)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 68361/5517792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 68362/5518017. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 68363/5518665. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a b))) REDUCED to normal form. ------ 68364/5519130. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) c)) 3. ==[ eta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68365/5519412. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((a a) a))) 3. ==[ beta ]==> ((b a)(^y.((a a) a))) 4. ==[ alpha ]==> ((b a)(^x.((a a) a))) REDUCED to normal form. ------ 68366/5519574. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 68367/5519583. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((y y) y))) REDUCED to normal form. ------ 68368/5519862. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 68369/5520141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 68370/5520249. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68371/5520357. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 68372/5520366. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 68373/5520447. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 68374/5520546. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68375/5520570. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68376/5520618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 68377/5520699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.c)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.c)) 5. ==[ beta ]==> ((a b)(^y.c)) 6. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 68378/5520753. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 68379/5520852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68380/5520861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 68381/5520885. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68382/5520888. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 68383/5520897. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 68384/5520924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68385/5521008. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68386/5521017. ------ 1. ==[ start ]==> (((a a) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 68387/5521035. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 68388/5521044. ------ 1. ==[ start ]==> (((a a)(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 68389/5521071. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 68390/5521080. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 68391/5521098. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 68392/5521125. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 68393/5521152. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 68394/5521179. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 68395/5521206. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((a a) a))) REDUCED to normal form. ------ 68396/5521260. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 68397/5521305. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((^y.a)(c (^z.a))) 4. ==[ alpha ]==> ((^x.a)(c (^y.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 68398/5521332. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 68399/5521341. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 68400/5521386. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68401/5521467. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 68402/5521485. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 68403/5521539. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 68404/5521566. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 68405/5521575. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(a a)))((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 12. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 13. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 14. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 15. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 16. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 17. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 68406/5521602. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68407/5521656. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68408/5521683. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 68409/5521764. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 68410/5521791. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 68411/5521953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 68412/5522016. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 68413/5522043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (a ((a a)((^y.y) a))) 8. ==[ alpha ]==> (a ((a a)((^x.x) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 68414/5522070. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 68415/5522097. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 68416/5522124. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 68417/5522151. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 68418/5522178. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 68419/5522268. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.y))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 68420/5522295. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 68421/5522322. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a a)((a a)(^y.a))) 8. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 68422/5522349. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 68423/5522385. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68424/5522439. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(a b))) 5. ==[ beta ]==> (a ((^z.(z z))(a b))) 6. ==[ alpha ]==> (a ((^x.(x x))(a b))) 7. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 68425/5522520. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(b a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 68426/5522601. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 68427/5522682. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 68428/5522853. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 68429/5522862. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (a b))((^x.(a a)) c)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 68430/5523015. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 68431/5523033. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 68432/5523042. ------ 1. ==[ start ]==> (((a b) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 68433/5523141. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 68434/5523222. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 68435/5523249. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 68436/5523267. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 68437/5523321. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 68438/5523348. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 68439/5523375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b) c)) 5. ==[ beta ]==> (((^y.y) a)((a b) c)) 6. ==[ alpha ]==> (((^x.x) a)((a b) c)) 7. ==[ beta ]==> (a ((a b) c)) REDUCED to normal form. ------ 68440/5523465. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 68441/5523492. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68442/5523546. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68443/5523636. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b) b)(((a a) a) a)) REDUCED to normal form. ------ 68444/5523663. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 68445/5523690. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 68446/5523717. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((a a) a))) REDUCED to normal form. ------ 68447/5523762. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 9. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 10. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 11. ==[ beta ]==> (b (^y.(a a))) 12. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 68448/5523771. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 68449/5523843. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 68450/5523915. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 68451/5523942. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.a))) REDUCED to normal form. ------ 68452/5523969. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 68453/5523996. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 68454/5524023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a)) a)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) a)) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 68455/5524050. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b) b)) 3. ==[ beta ]==> ((((a a) a) a)((a b) b)) REDUCED to normal form. ------ 68456/5524077. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a) c)) REDUCED to normal form. ------ 68457/5524167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68458/5524311. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) c)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b) c)((^y.y) a)) 6. ==[ alpha ]==> (((a b) c)((^x.x) a)) 7. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 68459/5524338. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 68460/5524365. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 68461/5524410. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 68462/5524419. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(a b))) REDUCED to normal form. ------ 68463/5524464. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 68464/5524545. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 68465/5524644. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 68466/5524671. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a) b)) REDUCED to normal form. ------ 68467/5524698. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((a (a b))((^y.y) c)) 6. ==[ alpha ]==> ((a (a b))((^x.x) c)) 7. ==[ beta ]==> ((a (a b)) c) REDUCED to normal form. ------ 68468/5524833. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 68469/5524887. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 68470/5524977. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.a))) 5. ==[ beta ]==> (b (b (^z.a))) 6. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 68471/5525058. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68472/5525166. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((b a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 68473/5525247. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a b)(a b))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 68474/5525310. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 68475/5525328. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 68476/5525337. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 68477/5525364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 68478/5525391. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 68479/5525508. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a a))(^y.y)) 10. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68480/5525535. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 68481/5525562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> (((a a) a)(a (^y.a))) 8. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 68482/5525589. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 68483/5525616. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 68484/5525643. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> (((a a) a)((^y.y) a)) 8. ==[ alpha ]==> (((a a) a)((^x.x) a)) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 68485/5525670. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 68486/5525733. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68487/5525895. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 68488/5526003. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68489/5526030. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68490/5526057. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68491/5526111. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 68492/5526120. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 68493/5526147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68494/5526192. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (b (b (^x1.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 68495/5526201. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 68496/5526255. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c b)) REDUCED to normal form. ------ 68497/5526300. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68498/5526327. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 68499/5526345. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z)) b)) REDUCED to normal form. ------ 68500/5526372. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a) c)) REDUCED to normal form. ------ 68501/5526399. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 68502/5526426. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 68503/5526453. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y) c)) 5. ==[ beta ]==> ((a b)((^y.y) c)) 6. ==[ alpha ]==> ((a b)((^x.x) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 68504/5526480. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 68505/5526507. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 68506/5526534. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 68507/5526561. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) b)) REDUCED to normal form. ------ 68508/5526606. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68509/5526615. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 68510/5526642. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 68511/5526651. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 68512/5526678. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68513/5532540. ------ 1. ==[ start ]==> ((^a.b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68514/5532561. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 68515/5532576. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68516/5532621. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((b a)(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((b a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 68517/5532810. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 68518/5532885. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 68519/5532981. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 68520/5533182. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 68521/5534325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (^z.z))) b) 4. ==[ beta ]==> (((^y.y)(a (^z.z))) b) 5. ==[ alpha ]==> (((^x.x)(a (^y.y))) b) 6. ==[ beta ]==> ((a (^y.y)) b) 7. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 68522/5534376. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))(a (^z.z))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y))) b) 5. ==[ beta ]==> (((a a)(a (^y.y))) b) 6. ==[ alpha ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 68523/5534763. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.b))(((^z.z) a)(^x1.b)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.b))(((^x1.x1) a)(^y1.b)))) 5. ==[ beta ]==> (^x.((a (^z.b))(((^x1.x1) a)(^y1.b)))) 6. ==[ alpha ]==> (^x.((a (^y.b))(((^z.z) a)(^x1.b)))) 7. ==[ beta ]==> (^x.((a (^y.b))(a (^x1.b)))) 8. ==[ alpha ]==> (^x.((a (^y.b))(a (^z.b)))) REDUCED to normal form. ------ 68524/5535963. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 68525/5536350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(z b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 68526/5536401. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 68527/5536683. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 68528/5536854. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 68529/5537529. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a (a a)))) REDUCED to normal form. ------ 68530/5537637. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 68531/5537745. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 68532/5537826. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^x1.a)) REDUCED to normal form. ------ 68533/5537841. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68534/5537916. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 68535/5537970. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 68536/5538156. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68537/5538168. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68538/5538297. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68539/5538306. ------ 1. ==[ start ]==> ((a b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 68540/5538324. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68541/5538342. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 68542/5538360. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 68543/5538387. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 68544/5538522. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 68545/5538549. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 68546/5538576. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 68547/5538621. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 68548/5538648. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 68549/5538666. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 68550/5538675. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 68551/5538693. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 68552/5538747. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 68553/5538837. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 68554/5538855. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(^y.(a a)))((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 68555/5538882. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68556/5538918. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68557/5538936. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 68558/5538945. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 68559/5538963. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 68560/5538972. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 68561/5538990. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 68562/5539053. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 68563/5539161. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((b b)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((b b)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 68564/5539494. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 68565/5539521. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 68566/5539665. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 68567/5539719. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.b))) 5. ==[ beta ]==> (a ((a (a a))(^z.b))) 6. ==[ alpha ]==> (a ((a (a a))(^x.b))) REDUCED to normal form. ------ 68568/5539755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68569/5539782. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 68570/5539827. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 68571/5539890. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 68572/5539917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68573/5540061. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 68574/5540088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (b a))) 5. ==[ beta ]==> ((a (^y.y))(a (b a))) 6. ==[ alpha ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 68575/5540115. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 68576/5540142. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 68577/5540151. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.b)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.b)((^y.(a a)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68578/5540295. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(a a)))) REDUCED to normal form. ------ 68579/5540322. ------ 1. ==[ start ]==> (((a b) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 68580/5540367. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68581/5540403. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 68582/5540421. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 68583/5540430. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 68584/5540457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68585/5540484. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68586/5540502. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 68587/5540511. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 68588/5540529. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 68589/5540700. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68590/5540907. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (b ((^x1.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 68591/5541051. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 68592/5541105. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 68593/5541123. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 68594/5541132. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 68595/5541348. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 68596/5541582. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68597/5541699. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.b))) REDUCED to normal form. ------ 68598/5541726. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 68599/5541744. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 68600/5541780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68601/5541807. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 68602/5541825. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 68603/5541834. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 68604/5541861. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 68605/5541888. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 68606/5542086. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b ((a a) a))) 3. ==[ beta ]==> (((a b) a)(b ((a a) a))) REDUCED to normal form. ------ 68607/5542113. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 68608/5542140. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 68609/5542167. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (b a))(a (^y.y))) 6. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 68610/5542338. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 68611/5542401. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 68612/5542446. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.a))) 3. ==[ beta ]==> ((b a)((a a)(^y.a))) 4. ==[ alpha ]==> ((b a)((a a)(^x.a))) REDUCED to normal form. ------ 68613/5542473. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 68614/5542509. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 68615/5542527. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a)) c)) 3. ==[ beta ]==> (((a b)(a b))((a (a a)) c)) REDUCED to normal form. ------ 68616/5542536. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 68617/5542590. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68618/5542617. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 68619/5542734. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 68620/5542761. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 68621/5542995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68622/5543094. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a a)((^z.(z z)) b)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 68623/5543283. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68624/5543292. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 68625/5543310. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 68626/5543319. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 68627/5543337. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 68628/5543400. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 68629/5543472. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68630/5543481. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 68631/5543508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 68632/5543535. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 68633/5543580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68634/5543589. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 68635/5543607. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 68636/5543652. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (a (^y.y)))) REDUCED to normal form. ------ 68637/5543679. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 68638/5543706. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 68639/5543733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 68640/5543787. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b b)) 3. ==[ beta ]==> (((a b)(^y.y))(b b)) 4. ==[ alpha ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 68641/5543841. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (a a))) REDUCED to normal form. ------ 68642/5543886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68643/5543895. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(a a))) REDUCED to normal form. ------ 68644/5543922. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(b a)) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 68645/5543931. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 68646/5543958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68647/5544105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68648/5549685. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68649/5549838. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68650/5549874. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68651/5549877. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 68652/5550036. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.(((a a) a)((a a) a))) 4. ==[ alpha ]==> (^x.(((a a) a)((a a) a))) REDUCED to normal form. ------ 68653/5550378. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(a b))(((^y.(^z.z))(a b))((^y.(^z.z))(a b)))) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.(^x1.x1))(a b))((^y1.(^z1.z1))(a b)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a b))((^y1.(^z1.z1))(a b)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 7. ==[ beta ]==> (((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b))) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68654/5550729. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68655/5551083. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 68656/5551161. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((^y.(a a))((^z.z) a))((^y.(a a))((^z.z) a)))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a)))((^y1.(a a))((^z1.z1) a))) 5. ==[ beta ]==> (((a a)((^z.(a a))((^x1.x1) a)))((^y1.(a a))((^z1.z1) a))) 6. ==[ alpha ]==> (((a a)((^x.(a a))((^y.y) a)))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 68657/5551875. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 68658/5552136. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 68659/5552268. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68660/5552838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 68661/5552943. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68662/5553459. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a y))) 3. ==[ eta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 68663/5553648. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 68664/5554248. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 68665/5554458. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 68666/5554536. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^x1.a)(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68667/5554710. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 68668/5554935. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.d)) REDUCED to normal form. ------ 68669/5555214. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 68670/5555295. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 68671/5555349. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 68672/5555454. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68673/5555457. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 68674/5555493. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.b)) 3. ==[ beta ]==> ((^y.y)(^z1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 68675/5555613. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68676/5555622. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 68677/5555649. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 68678/5555658. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b) a)) 2. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68679/5555685. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68680/5555703. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68681/5555730. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 68682/5555757. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 68683/5555784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68684/5555811. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 68685/5555892. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 68686/5555919. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 68687/5555982. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 68688/5556009. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 68689/5556036. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 68690/5556072. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 68691/5556099. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 68692/5556144. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 68693/5556153. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 68694/5556252. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 68695/5556279. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 68696/5556306. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a) b)) REDUCED to normal form. ------ 68697/5556396. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 68698/5556450. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 68699/5556477. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 68700/5556504. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 68701/5556513. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68702/5556540. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 68703/5556594. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a a))) 5. ==[ beta ]==> ((^y.y)((b a)(a a))) 6. ==[ alpha ]==> ((^x.x)((b a)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 68704/5556648. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68705/5556675. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 68706/5556729. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 68707/5556855. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 68708/5556936. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 68709/5557062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (b (a (^y.(a a)))) 8. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 68710/5557143. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) a)) REDUCED to normal form. ------ 68711/5557170. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 68712/5557197. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a) c)) REDUCED to normal form. ------ 68713/5557287. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 68714/5557314. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.b)(^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.b))) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 68715/5557341. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 68716/5557440. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68717/5557458. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68718/5557539. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) IRREDUCIBLE: cycle. ------ 68719/5557620. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 68720/5557647. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 68721/5557710. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 68722/5557737. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 68723/5557764. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 68724/5557791. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 68725/5557818. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 68726/5557854. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 68727/5557881. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 68728/5557908. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 68729/5557962. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 68730/5557989. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 68731/5558016. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 68732/5558043. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68733/5558133. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 68734/5558214. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 68735/5558223. ------ 1. ==[ start ]==> (((a b) b)((^a.b) c)) 2. ==[ alpha ]==> (((a b) b)((^x.b) c)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 68736/5558268. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 68737/5558295. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 68738/5558349. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 11. ==[ beta ]==> ((a (^y.y))(a b)) 12. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 68739/5558412. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 68740/5558439. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 68741/5558466. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 68742/5558502. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 68743/5558529. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 68744/5558556. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 68745/5558583. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 68746/5558610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 68747/5558637. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 68748/5558655. ------ 1. ==[ start ]==> (((^a.b) c)((a b) b)) 2. ==[ alpha ]==> (((^x.b) c)((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 68749/5558664. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 68750/5558718. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 68751/5558889. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 68752/5558898. ------ 1. ==[ start ]==> (((a b) c)((^c.a) c)) 2. ==[ alpha ]==> (((a b) c)((^x.a) c)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 68753/5558970. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 68754/5558997. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 68755/5559087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68756/5559114. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 68757/5559141. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 68758/5559168. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 68759/5559231. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 68760/5559258. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 68761/5559285. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 68762/5559312. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 68763/5559339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 11. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 68764/5559366. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 68765/5559393. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 68766/5559420. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.b)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 68767/5559564. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 8. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 68768/5559708. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(y y)))) REDUCED to normal form. ------ 68769/5559816. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 68770/5559843. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a)) c)) REDUCED to normal form. ------ 68771/5559915. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 68772/5559951. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 68773/5559978. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 68774/5560023. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 68775/5560041. ------ 1. ==[ start ]==> (((a a)(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(x x)))) REDUCED to normal form. ------ 68776/5560068. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 68777/5560122. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 68778/5560149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 68779/5560176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 68780/5560203. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 68781/5560230. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68782/5560257. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 68783/5560311. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 68784/5560401. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(a a))) 5. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 68785/5560482. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 68786/5560599. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(z z)))) REDUCED to normal form. ------ 68787/5560626. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 68788/5560698. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b ((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(b ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 68789/5560734. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.b)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(y y)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68790/5560779. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 68791/5560788. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68792/5560842. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 68793/5560887. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68794/5560896. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.a))) REDUCED to normal form. ------ 68795/5560932. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 68796/5560959. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 68797/5560986. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.a)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 68798/5561040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 68799/5561067. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 68800/5561094. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 68801/5561121. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 68802/5561148. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 68803/5561193. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68804/5561202. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.z))) REDUCED to normal form. ------ 68805/5561229. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 68806/5561238. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68807/5561265. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 68808/5561421. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68809/5566686. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68810/5567001. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68811/5567199. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68812/5567202. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 68813/5567211. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 68814/5567244. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1))) b)(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68815/5567526. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68816/5567703. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b))((((^y.y)(^z.z))(^x1.b))(((^y.y)(^z.z))(^x1.b)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((((^x1.x1)(^y1.y1))(^z1.b))(((^x2.x2)(^y2.y2))(^z2.b)))) 5. ==[ beta ]==> (((^y.y)(^z.b))((((^x1.x1)(^y1.y1))(^z1.b))(((^x2.x2)(^y2.y2))(^z2.b)))) 6. ==[ alpha ]==> (((^x.x)(^y.b))((((^z.z)(^x1.x1))(^y1.b))(((^z1.z1)(^x2.x2))(^y2.b)))) 7. ==[ beta ]==> ((^y.b)((((^z.z)(^x1.x1))(^y1.b))(((^z1.z1)(^x2.x2))(^y2.b)))) 8. ==[ alpha ]==> ((^x.b)((((^y.y)(^z.z))(^x1.b))(((^y1.y1)(^z1.z1))(^x2.b)))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 68817/5567823. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 68818/5567928. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68819/5568486. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.a))(((^y.y)(a a))(^z.a)))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a)))(((^y1.y1)(a a))(^z1.a))) 5. ==[ beta ]==> ((((a a)(^y.a))(((^z.z)(a a))(^x1.a)))(((^y1.y1)(a a))(^z1.a))) 6. ==[ alpha ]==> ((((a a)(^x.a))(((^y.y)(a a))(^z.a)))(((^x1.x1)(a a))(^y1.a))) 7. ==[ beta ]==> ((((a a)(^x.a))((a a)(^z.a)))(((^x1.x1)(a a))(^y1.a))) 8. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))(((^z.z)(a a))(^x1.a))) 9. ==[ beta ]==> ((((a a)(^x.a))((a a)(^y.a)))((a a)(^x1.a))) 10. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))((a a)(^z.a))) REDUCED to normal form. ------ 68820/5568687. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 a))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 68821/5568819. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 68822/5568999. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) b) b) 4. ==[ alpha ]==> (((^x.(^y.y)) b) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68823/5569209. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 68824/5569386. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.(((^z.(z z))((a a) a))((^z.(z z))((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))((a a) a))((^z.(z z))((a a) a)))) 5. ==[ beta ]==> (^x.((((a a) a)((a a) a))((^z.(z z))((a a) a)))) 6. ==[ alpha ]==> (^x.((((a a) a)((a a) a))((^y.(y y))((a a) a)))) 7. ==[ beta ]==> (^x.((((a a) a)((a a) a))(((a a) a)((a a) a)))) REDUCED to normal form. ------ 68825/5570586. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a b))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a b))) REDUCED to normal form. ------ 68826/5570604. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 68827/5571024. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.a) b)) 3. ==[ eta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68828/5571333. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 68829/5571504. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 68830/5572170. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 68831/5572287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.b)(^y.(y (y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68832/5572464. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68833/5572467. ------ 1. ==[ start ]==> ((a (^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 68834/5572620. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.c)) REDUCED to normal form. ------ 68835/5572746. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68836/5572779. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68837/5572782. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68838/5572791. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 68839/5572818. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a a))) 3. ==[ beta ]==> ((^y.y)(^z1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 68840/5572956. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 68841/5572965. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 68842/5572983. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 68843/5572992. ------ 1. ==[ start ]==> (((^a.a) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)(a ((^y.y) b))) 3. ==[ beta ]==> (b (a ((^y.y) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 68844/5573001. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 68845/5573019. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 68846/5573028. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 68847/5573046. ------ 1. ==[ start ]==> (((a a) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 68848/5573073. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 68849/5573100. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 68850/5573127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 68851/5573181. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 68852/5573262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(b a))) REDUCED to normal form. ------ 68853/5573289. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 68854/5573307. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 68855/5573334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68856/5573406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 68857/5573433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 68858/5573487. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (a (a a)))(^y.b)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 68859/5573496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 9. ==[ beta ]==> ((^y.(^z.z))(a b)) 10. ==[ alpha ]==> ((^x.(^y.y))(a b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68860/5573523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 68861/5573577. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68862/5573604. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 68863/5573631. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68864/5573712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 68865/5573847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68866/5573937. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(a a))) REDUCED to normal form. ------ 68867/5573964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 68868/5573991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 68869/5574018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(a (a a)))) REDUCED to normal form. ------ 68870/5574045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 68871/5574072. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 68872/5574099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 68873/5574216. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 68874/5574243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 68875/5574270. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 68876/5574306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68877/5574360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 68878/5574441. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 68879/5574468. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68880/5574603. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 68881/5574774. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 68882/5574783. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 68883/5574936. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(a b))) 3. ==[ beta ]==> ((((a a) a) b)(a (a b))) REDUCED to normal form. ------ 68884/5574954. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.(a a)))) 3. ==[ beta ]==> (b (c (^z.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 68885/5574963. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 68886/5574981. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 68887/5574990. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 68888/5575062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 68889/5575143. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68890/5575170. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 68891/5575188. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.b))) REDUCED to normal form. ------ 68892/5575215. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 68893/5575269. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 68894/5575296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a)) b)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a)) b)) 7. ==[ beta ]==> (a (((^y.y)(a a)) b)) 8. ==[ alpha ]==> (a (((^x.x)(a a)) b)) 9. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 68895/5575323. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b) c)) REDUCED to normal form. ------ 68896/5575386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 68897/5575413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 68898/5575467. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68899/5575557. ------ 1. ==[ start ]==> (((a b) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 68900/5575584. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 68901/5575611. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 68902/5575638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.z))) REDUCED to normal form. ------ 68903/5575692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 68904/5575719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 68905/5575764. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (b ((^z.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 68906/5575836. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 68907/5575863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 68908/5575917. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 68909/5575944. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 68910/5575971. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 68911/5575998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b) b)) REDUCED to normal form. ------ 68912/5576088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68913/5576232. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 68914/5576259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a) b)((^y.y) a)) 8. ==[ alpha ]==> (((a a) b)((^x.x) a)) 9. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 68915/5576286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 68916/5576340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 68917/5576367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.b))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(a b))) REDUCED to normal form. ------ 68918/5576385. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 68919/5576466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68920/5576565. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 68921/5576592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 68922/5576619. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a) b)) 3. ==[ beta ]==> ((a (a b))(((a a) a) b)) REDUCED to normal form. ------ 68923/5576781. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 68924/5576808. ------ 1. ==[ start ]==> ((a (b a))((^c.a) b)) 2. ==[ alpha ]==> ((a (b a))((^x.a) b)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 68925/5576898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 68926/5576979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 68927/5577087. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 68928/5577114. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 68929/5577168. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 68930/5577231. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 68931/5577249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68932/5577258. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 68933/5577285. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 68934/5577312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 68935/5577456. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 68936/5577483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 68937/5577510. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 68938/5577537. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 68939/5577564. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 68940/5577591. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 68941/5577654. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 68942/5577816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 68943/5577924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68944/5577951. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 68945/5577978. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68946/5578032. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 68947/5578041. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(b a)) REDUCED to normal form. ------ 68948/5578068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a (a a)))) 6. ==[ alpha ]==> ((^x.b)(a (a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68949/5578113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 68950/5578122. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 68951/5578149. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 68952/5578221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68953/5578230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b c)) REDUCED to normal form. ------ 68954/5578248. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 68955/5578266. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 68956/5578293. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y)) b)) REDUCED to normal form. ------ 68957/5578347. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a) a)) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 68958/5578374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 68959/5578428. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 68960/5578455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 68961/5578482. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y)) a)) REDUCED to normal form. ------ 68962/5578527. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68963/5578536. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 68964/5578563. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) b)) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 68965/5578572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 68966/5578599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 68967/5584029. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68968/5584344. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68969/5584515. ------ 1. ==[ start ]==> ((^a.b)(c (b a))) 2. ==[ alpha ]==> ((^x.b)(c (b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 68970/5584563. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 68971/5584572. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 68972/5584596. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 68973/5584785. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))((^z.z)(a a)))) 3. ==[ eta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 68974/5584887. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 68975/5584956. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 68976/5585184. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 68977/5586048. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 a))) REDUCED to normal form. ------ 68978/5586327. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(b x))) 3. ==[ eta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 68979/5586351. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))(a a)) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 68980/5586738. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.a))((a (a a))(^z.a)))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.a))((a (a a))(^z.a)))) REDUCED to normal form. ------ 68981/5587317. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 68982/5588352. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y b))) REDUCED to normal form. ------ 68983/5588376. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(a a))) 3. ==[ eta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 68984/5588856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 68985/5589531. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a (a a)))) REDUCED to normal form. ------ 68986/5589639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 68987/5589747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 68988/5589816. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68989/5589819. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 68990/5589918. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))((^x.x)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 68991/5590098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68992/5590107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 68993/5590131. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 68994/5590134. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a a))) 3. ==[ beta ]==> ((a b)(^y.(a a))) 4. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 68995/5590143. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 68996/5590308. ------ 1. ==[ start ]==> ((a b)(c (b a))) REDUCED to normal form. ------ 68997/5590326. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 68998/5590353. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 68999/5590362. ------ 1. ==[ start ]==> (((a a)(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) b))) 3. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 69000/5590389. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 69001/5590398. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69002/5590524. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 69003/5590551. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 69004/5590578. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 69005/5590623. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 69006/5590650. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 69007/5590677. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 69008/5590695. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69009/5590704. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 69010/5590749. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 69011/5590857. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b))(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 7. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 9. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.b))) 10. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 69012/5590884. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 69013/5590920. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 69014/5590947. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 69015/5590965. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 69016/5590974. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 69017/5590992. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 69018/5591001. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 69019/5591163. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 69020/5591289. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69021/5591496. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 69022/5591523. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 69023/5591550. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(b a))) 5. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 69024/5591667. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 69025/5591721. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (a ((^y.y)(^z.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 69026/5591757. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a b))) 5. ==[ beta ]==> (b ((^y.(y y))(a b))) 6. ==[ alpha ]==> (b ((^x.(x x))(a b))) 7. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 69027/5591784. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 69028/5591838. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 69029/5591883. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y)) b)) 7. ==[ beta ]==> ((a a)(((a a)(^y.y)) b)) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 69030/5591892. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 69031/5591919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69032/5591946. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 69033/5592090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 69034/5592117. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (b a))) REDUCED to normal form. ------ 69035/5592144. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 69036/5592153. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69037/5592324. ------ 1. ==[ start ]==> (((a b) a)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(a a)))) REDUCED to normal form. ------ 69038/5592351. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 69039/5592405. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69040/5592423. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 69041/5592432. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 69042/5592459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.b)((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69043/5592504. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 69044/5592513. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 69045/5592531. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 69046/5592702. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69047/5592909. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (b ((^x1.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69048/5593053. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 69049/5593080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.(a a)))) 7. ==[ beta ]==> ((b (^y.(a a)))(b (^y.(a a)))) 8. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 69050/5593107. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 69051/5593125. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 69052/5593134. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 69053/5593161. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 69054/5593350. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69055/5593584. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69056/5593701. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.a))) REDUCED to normal form. ------ 69057/5593728. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.b))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.b))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.b))) REDUCED to normal form. ------ 69058/5593782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69059/5593827. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 69060/5593836. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 69061/5593863. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 69062/5593890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 69063/5594088. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(c (^y.y))) 6. ==[ alpha ]==> (((a b) a)(c (^x.x))) REDUCED to normal form. ------ 69064/5594115. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 69065/5594142. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 69066/5594169. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(a a))) REDUCED to normal form. ------ 69067/5594340. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 69068/5594403. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 69069/5594448. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 69070/5594511. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 69071/5594529. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a b)(a b))((^y.y) b)) 6. ==[ alpha ]==> (((a b)(a b))((^x.x) b)) 7. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 69072/5594538. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 69073/5594592. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 69074/5594619. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 69075/5594646. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 69076/5594736. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(b a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 69077/5594763. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 69078/5594790. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 69079/5594898. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c d)) REDUCED to normal form. ------ 69080/5594997. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69081/5595096. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 69082/5595285. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69083/5595294. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 69084/5595312. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 69085/5595321. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 69086/5595339. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 69087/5595402. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 69088/5595429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69089/5595474. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (b ((^x1.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69090/5595483. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 69091/5595510. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 69092/5595537. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(z z)))) REDUCED to normal form. ------ 69093/5595582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69094/5595591. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 69095/5595609. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 69096/5595654. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (a a))) REDUCED to normal form. ------ 69097/5595681. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 69098/5595708. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 69099/5595735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 69100/5595762. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 69101/5595789. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c a)) 3. ==[ beta ]==> (((a b)(^y.y))(c a)) 4. ==[ alpha ]==> (((a b)(^x.x))(c a)) REDUCED to normal form. ------ 69102/5595816. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b b)) 3. ==[ beta ]==> (((a a)(a (a a)))(b b)) REDUCED to normal form. ------ 69103/5595888. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69104/5595897. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (a (^z.z)))) REDUCED to normal form. ------ 69105/5595924. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a a))) 3. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 69106/5595933. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69107/5595960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 69108/5596040. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69109/5596041. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 69110/5601840. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69111/5601930. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69112/5601951. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 69113/5602092. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.((a b)(^z.z))) 6. ==[ alpha ]==> (^x.((a b)(^y.y))) REDUCED to normal form. ------ 69114/5602785. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69115/5602878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 69116/5603166. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 69117/5603427. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 69118/5604219. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 69119/5604921. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(^x.(a a))) REDUCED to normal form. ------ 69120/5605542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(a a))) a) 4. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 69121/5605731. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.y))) REDUCED to normal form. ------ 69122/5606304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69123/5606406. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.x))) REDUCED to normal form. ------ 69124/5606541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 69125/5606592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 7. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69126/5606685. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 69127/5607018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.d)) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.d)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.d)) 5. ==[ beta ]==> ((^y.b)(^z.d)) 6. ==[ alpha ]==> ((^x.b)(^y.d)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69128/5607195. ------ 1. ==[ start ]==> ((^a.(^b.b))(b c)) 2. ==[ alpha ]==> ((^x.(^y.y))(b c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69129/5607216. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 69130/5607297. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.a))) REDUCED to normal form. ------ 69131/5607378. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 69132/5607432. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a (^z.z)))) REDUCED to normal form. ------ 69133/5607477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69134/5607486. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 69135/5607510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69136/5607522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 69137/5607642. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 69138/5607732. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 69139/5607750. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 69140/5607768. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69141/5607786. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69142/5607795. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 69143/5607813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 69144/5607840. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 69145/5607867. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 69146/5607894. ------ 1. ==[ start ]==> ((a (^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 69147/5607975. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 69148/5608002. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 69149/5608056. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (a ((a a)(a (^y.(^z.z))))) 6. ==[ alpha ]==> (a ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 69150/5608092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 69151/5608119. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 69152/5608182. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 69153/5608209. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 69154/5608308. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 69155/5608362. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69156/5608389. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 69157/5608416. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 69158/5608479. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 69159/5608506. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 69160/5608560. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 69161/5608587. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 69162/5608677. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(a (a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 69163/5608686. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 69164/5608731. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 69165/5608740. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69166/5608758. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 69167/5608812. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 69168/5608965. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69169/5609145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.b))) 5. ==[ beta ]==> (b ((a (a a))(^y.b))) 6. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 69170/5609172. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 69171/5609253. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((b a) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a) a)) REDUCED to normal form. ------ 69172/5609280. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 69173/5609397. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 69174/5609424. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a (a (a a)))((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 69175/5609451. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 69176/5609541. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69177/5609622. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a (a a)))) IRREDUCIBLE: cycle. ------ 69178/5609703. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> (b (((^z.z) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 69179/5609730. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 69180/5609757. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 69181/5609793. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 69182/5609820. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 69183/5609847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69184/5609874. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 69185/5609901. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69186/5609937. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a)(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 69187/5609964. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 69188/5609991. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 69189/5610018. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 69190/5610072. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 69191/5610090. ------ 1. ==[ start ]==> (((^a.b) b)((a b) c)) 2. ==[ alpha ]==> (((^x.b) b)((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 69192/5610099. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 69193/5610216. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a b))) 5. ==[ beta ]==> ((^y.y)(c (a b))) 6. ==[ alpha ]==> ((^x.x)(c (a b))) 7. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 69194/5610297. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 69195/5610306. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b) b)((^x.(a a)) b)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 69196/5610333. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b) c)) 3. ==[ beta ]==> (((a a) a)((^y.b) c)) 4. ==[ alpha ]==> (((a a) a)((^x.b) c)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 69197/5610351. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x) a))) 7. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 69198/5610360. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a) d)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 69199/5610378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 69200/5610432. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 11. ==[ beta ]==> (((^y.y) a)((a a) a)) 12. ==[ alpha ]==> (((^x.x) a)((a a) a)) 13. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 69201/5610522. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 69202/5610549. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 69203/5610612. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 69204/5610639. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((a ((a a) a))(^y.y)) 12. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 69205/5610666. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 69206/5610693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 69207/5610720. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(a a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 7. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 69208/5610738. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 69209/5610747. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 69210/5610774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 69211/5610972. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 69212/5610981. ------ 1. ==[ start ]==> (((a b) c)((^a.b) b)) 2. ==[ alpha ]==> (((a b) c)((^x.b) b)) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 69213/5611008. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a) c)) 3. ==[ beta ]==> (((a a) b)((^y.a) c)) 4. ==[ alpha ]==> (((a a) b)((^x.a) c)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 69214/5611053. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 69215/5611080. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 69216/5611134. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a b))) REDUCED to normal form. ------ 69217/5611170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69218/5611197. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 69219/5611224. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 69220/5611251. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 69221/5611278. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 69222/5611314. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 69223/5611341. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 69224/5611368. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (a b))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 69225/5611422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69226/5611449. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 69227/5611476. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 69228/5611530. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 69229/5611647. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 69230/5611791. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.a))) REDUCED to normal form. ------ 69231/5611899. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 69232/5611926. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 69233/5611998. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 69234/5612106. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 69235/5612178. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 69236/5612205. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.a))) REDUCED to normal form. ------ 69237/5612232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 69238/5612259. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 69239/5612286. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 69240/5612313. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 69241/5612340. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 69242/5612385. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69243/5612394. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 69244/5612484. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 69245/5612565. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 69246/5612682. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 69247/5612709. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 69248/5612790. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 69249/5612862. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 69250/5612871. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 69251/5612979. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 69252/5612997. ------ 1. ==[ start ]==> ((a (^b.b))(b c)) 2. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 69253/5613015. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z) a)) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 69254/5613042. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 69255/5613069. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 69256/5613096. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 69257/5613123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.y))) 5. ==[ beta ]==> ((a b)(c (^y.y))) 6. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 69258/5613150. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 69259/5613177. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 69260/5613204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 69261/5613231. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 69262/5613276. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69263/5613285. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 69264/5613312. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.y))) 3. ==[ beta ]==> ((a b)(b (^y.y))) 4. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 69265/5613321. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 69266/5613348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69267/5619255. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69268/5619336. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69269/5619375. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 69270/5619381. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((^z.z) a)(^y.y)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 69271/5619672. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 69272/5619690. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69273/5619987. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 69274/5620065. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69275/5620284. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 69276/5620293. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 69277/5620623. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1))))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1))))(((a a)(^x2.x2))(^y2.(^z2.z2)))) REDUCED to normal form. ------ 69278/5620956. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 69279/5621130. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(b a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(b y))) 3. ==[ eta ]==> (((^x.b) a) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69280/5621523. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69281/5622102. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 69282/5622120. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69283/5623161. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.b) a)) 3. ==[ eta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69284/5623335. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 69285/5623668. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 69286/5623998. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 69287/5624091. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69288/5624334. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 69289/5624532. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 69290/5624601. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69291/5624784. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.c)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.c)) REDUCED to normal form. ------ 69292/5624916. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69293/5624955. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69294/5625066. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 69295/5625147. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69296/5625156. ------ 1. ==[ start ]==> (((^a.a) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 69297/5625183. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 69298/5625192. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 69299/5625210. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 69300/5625237. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(a (^y.y)))) REDUCED to normal form. ------ 69301/5625264. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 69302/5625291. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a (a a)))) REDUCED to normal form. ------ 69303/5625345. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 69304/5625426. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 69305/5625453. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(b a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 69306/5625471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 69307/5625480. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 69308/5625498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 69309/5625570. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 69310/5625597. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 69311/5625624. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 69312/5625687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69313/5625741. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 69314/5625768. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 69315/5625795. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 69316/5625876. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69317/5626011. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69318/5626038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69319/5626092. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69320/5626101. ------ 1. ==[ start ]==> (((a (a a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 69321/5626128. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(a a))) 5. ==[ beta ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 69322/5626155. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 69323/5626182. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 69324/5626209. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 69325/5626236. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 69326/5626263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 9. ==[ beta ]==> ((^y.y)((a a) a)) 10. ==[ alpha ]==> ((^x.x)((a a) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 69327/5626407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.y))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 69328/5626434. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 69329/5626470. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69330/5626524. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69331/5626605. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 69332/5626632. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69333/5626767. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 69334/5626938. ------ 1. ==[ start ]==> (((^a.b) a)(a (b a))) 2. ==[ alpha ]==> (((^x.b) a)(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 69335/5627100. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 69336/5627127. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a b) a)(a (a b))) REDUCED to normal form. ------ 69337/5627145. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(a a)))) 3. ==[ beta ]==> ((a b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 69338/5627154. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 69339/5627172. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 69340/5627307. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69341/5627334. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 69342/5627352. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 69343/5627379. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.b))) REDUCED to normal form. ------ 69344/5627406. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 69345/5627460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y)) a)) 7. ==[ beta ]==> (a (((a a)(^y.y)) a)) 8. ==[ alpha ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 69346/5627487. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 69347/5627514. ------ 1. ==[ start ]==> (((a b)(a a))((a b) c)) REDUCED to normal form. ------ 69348/5627550. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69349/5627577. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69350/5627631. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 69351/5627721. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 69352/5627748. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 69353/5627775. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 69354/5627802. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 69355/5627856. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 69356/5627883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a b))) 7. ==[ beta ]==> (((a (^y.y))(a b))((a (^y.y))(a b))) 8. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a b))) REDUCED to normal form. ------ 69357/5627910. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 69358/5627928. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 69359/5628000. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 69360/5628027. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y y))) REDUCED to normal form. ------ 69361/5628054. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 69362/5628108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.b))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 69363/5628135. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 69364/5628162. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 69365/5628189. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b) b)) 3. ==[ beta ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 69366/5628252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69367/5628396. ------ 1. ==[ start ]==> (((a b) c)((a b)(a a))) REDUCED to normal form. ------ 69368/5628423. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 69369/5628450. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 69370/5628504. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 69371/5628531. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 69372/5628549. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.b))) REDUCED to normal form. ------ 69373/5628630. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69374/5628756. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.b))) REDUCED to normal form. ------ 69375/5628783. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b) a)) 3. ==[ beta ]==> ((a (a b))((a b) a)) REDUCED to normal form. ------ 69376/5628810. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 69377/5628972. ------ 1. ==[ start ]==> ((a (b a))((^a.b) a)) 2. ==[ alpha ]==> ((a (b a))((^x.b) a)) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 69378/5629143. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 69379/5629251. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 69380/5629278. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69381/5629332. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 69382/5629413. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69383/5629422. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (a (a a)))) REDUCED to normal form. ------ 69384/5629449. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 69385/5629476. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 69386/5629539. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x)) c)) 3. ==[ beta ]==> (((a a)(b a))(c c)) REDUCED to normal form. ------ 69387/5629647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 69388/5629674. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 69389/5629701. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 69390/5629728. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 69391/5629755. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 69392/5629809. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a)) b)) REDUCED to normal form. ------ 69393/5629818. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69394/5629899. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 69395/5629980. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 69396/5630088. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69397/5630115. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69398/5630142. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 69399/5630196. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 69400/5630205. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 69401/5630232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.b)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)(b ((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69402/5630286. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 69403/5630313. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 69404/5630340. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 69405/5630385. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69406/5630412. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 69407/5630430. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 69408/5630457. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 69409/5630484. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 69410/5630538. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a) a)) 5. ==[ beta ]==> ((a b)((^y.a) a)) 6. ==[ alpha ]==> ((a b)((^x.a) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 69411/5630565. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 69412/5630592. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 69413/5630619. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 69414/5630646. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 69415/5630691. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69416/5630700. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a) b)) REDUCED to normal form. ------ 69417/5630727. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69418/5630736. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69419/5630763. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 69420/5631000. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^z.((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69421/5632755. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(b y))) 3. ==[ eta ]==> ((^x.(x b)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69422/5634780. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y b))) 3. ==[ eta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 69423/5636535. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69424/5636808. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69425/5636814. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a ((^z.z) b))(^y.y)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69426/5636817. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 69427/5637003. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(a b))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 69428/5637132. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 69429/5637174. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 69430/5637429. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 69431/5637498. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69432/5637726. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69433/5638293. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 69434/5638569. ------ 1. ==[ start ]==> ((^a.(a b))(a (b a))) 2. ==[ alpha ]==> ((^x.(x b))(a (b a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 69435/5638572. ------ 1. ==[ start ]==> ((a (a b))(^a.(b a))) 2. ==[ alpha ]==> ((a (a b))(^x.(b x))) 3. ==[ eta ]==> ((a (a b)) b) REDUCED to normal form. ------ 69436/5638956. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69437/5639562. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 69438/5639778. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 69439/5640210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69440/5640594. ------ 1. ==[ start ]==> ((^a.(b a))(a (a b))) 2. ==[ alpha ]==> ((^x.(b x))(a (a b))) 3. ==[ eta ]==> (b (a (a b))) REDUCED to normal form. ------ 69441/5640597. ------ 1. ==[ start ]==> ((a (b a))(^a.(a b))) 2. ==[ alpha ]==> ((a (b a))(^x.(x b))) REDUCED to normal form. ------ 69442/5640939. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 69443/5641101. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 69444/5641143. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69445/5641245. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 69446/5641767. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 69447/5642034. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69448/5642163. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a b))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> (((^y.y)(a b))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69449/5642217. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 69450/5642349. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69451/5642352. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 69452/5642388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 3. ==[ beta ]==> ((^y.y)(^z1.z1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69453/5642517. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 69454/5642598. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69455/5642607. ------ 1. ==[ start ]==> (((a a)(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 69456/5642625. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69457/5642634. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 69458/5642643. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69459/5642670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69460/5642769. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 69461/5642796. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 69462/5642823. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a a)((^y.y)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 69463/5642922. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69464/5642949. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 69465/5642976. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69466/5642994. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 69467/5643084. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 69468/5643129. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 69469/5643165. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 69470/5643192. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 69471/5643219. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 69472/5643237. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69473/5643246. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 69474/5643273. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 69475/5643291. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a) b)) 3. ==[ beta ]==> (((a a)(a a))((b a) b)) REDUCED to normal form. ------ 69476/5643318. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 69477/5643408. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 69478/5643543. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69479/5643741. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 69480/5643768. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 69481/5643795. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 69482/5643822. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 69483/5643912. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 69484/5643966. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 69485/5644002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69486/5644029. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a b))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(a b))) REDUCED to normal form. ------ 69487/5644047. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 69488/5644083. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 69489/5644110. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 69490/5644128. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((b a) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a) a)) 7. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 69491/5644191. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 69492/5644362. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 69493/5644389. ------ 1. ==[ start ]==> ((a (a b))(a (b a))) REDUCED to normal form. ------ 69494/5644596. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(a a)))) REDUCED to normal form. ------ 69495/5644668. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 69496/5644704. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69497/5644731. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 69498/5644749. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 69499/5644758. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 69500/5644776. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 69501/5644947. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69502/5645154. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69503/5645208. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b) c)) 5. ==[ beta ]==> ((a a)((^y.b) c)) 6. ==[ alpha ]==> ((a a)((^x.b) c)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 69504/5645235. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a) d)) 3. ==[ beta ]==> ((^y.y)((^z.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69505/5645352. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 69506/5645379. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 69507/5645406. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 69508/5645595. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69509/5645829. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69510/5645973. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 69511/5646027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69512/5646054. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 69513/5646072. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 69514/5646081. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 69515/5646108. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69516/5646135. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 69517/5646387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b ((a a) a))) REDUCED to normal form. ------ 69518/5646414. ------ 1. ==[ start ]==> ((a (b a))(a (a b))) REDUCED to normal form. ------ 69519/5646648. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 69520/5646693. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 69521/5646720. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69522/5646756. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 69523/5646774. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a) a)) 3. ==[ beta ]==> (((a b)(a b))(((a a) a) a)) REDUCED to normal form. ------ 69524/5646783. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 69525/5646837. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 69526/5646864. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 69527/5646891. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 69528/5646963. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 69529/5646981. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 69530/5647008. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 69531/5647035. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 69532/5647062. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.x))) REDUCED to normal form. ------ 69533/5647242. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69534/5647260. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69535/5647422. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (b ((^x1.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69536/5647530. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69537/5647539. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 69538/5647557. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 69539/5647566. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 69540/5647584. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 69541/5647638. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a) b)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a) b)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) b)) 9. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 69542/5647647. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 69543/5647674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69544/5647719. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 69545/5647782. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.a))) REDUCED to normal form. ------ 69546/5647827. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69547/5647836. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 69548/5647854. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 69549/5647872. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b c)) REDUCED to normal form. ------ 69550/5647953. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 69551/5647980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(a ((^y.y) a))) 5. ==[ beta ]==> ((a b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 69552/5648007. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 69553/5648034. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 69554/5648088. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b b)) REDUCED to normal form. ------ 69555/5648133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69556/5648142. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (a a))) REDUCED to normal form. ------ 69557/5648169. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (a (^y.y)))) 3. ==[ beta ]==> ((a b)(a (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 69558/5648178. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69559/5648205. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1) b)) 3. ==[ beta ]==> ((^y.y)((^z1.z1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69560/5648451. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69561/5652231. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.y))) 3. ==[ eta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 69562/5653986. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69563/5654166. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69564/5654193. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 69565/5654274. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^z.z)(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69566/5654277. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 69567/5654286. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69568/5654391. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (^x.((a a)(a (a a)))) REDUCED to normal form. ------ 69569/5654733. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1)))(((^y.b)((^z.z)(^x1.x1)))((^y.b)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.b)((^y1.y1)(^z1.z1)))((^x2.b)((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (b (((^x1.b)((^y1.y1)(^z1.z1)))((^x2.b)((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (b (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (b (b ((^x1.b)((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> (b (b ((^x.b)((^y.y)(^z.z))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 69570/5654889. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 69571/5655084. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69572/5655492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69573/5656041. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.b)) b) 4. ==[ beta ]==> ((^y.b) b) 5. ==[ alpha ]==> ((^x.b) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 69574/5656545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.((a a)(^z.z)))) 8. ==[ alpha ]==> (a (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 69575/5656623. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.a))((^z.b)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.a))((^x1.b)(^y1.a)))) 5. ==[ beta ]==> (((^y.b)(^z.a))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 7. ==[ beta ]==> (b ((^z.b)(^x1.a))) 8. ==[ alpha ]==> (b ((^x.b)(^y.a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69576/5656797. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 69577/5657013. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 69578/5657238. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 69579/5657247. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 69580/5657298. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((b ((^x1.b)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((b b)(^x1.x1)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 69581/5657472. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 69582/5657868. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a)(a b)) a) 4. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 69583/5658054. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.b))) 3. ==[ eta ]==> (b ((^y.y)(^z.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 69584/5658057. ------ 1. ==[ start ]==> ((a (b a))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 69585/5658228. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 69586/5658399. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 69587/5658603. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69588/5658891. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.z1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69589/5659362. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (b (^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 69590/5659494. ------ 1. ==[ start ]==> ((^a.(^b.b))(c b)) 2. ==[ alpha ]==> ((^x.(^y.y))(c b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69591/5659542. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 69592/5659623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.a))) 6. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 69593/5659704. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 69594/5659809. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69595/5659812. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69596/5659821. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 69597/5659995. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 69598/5660022. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69599/5660076. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 69600/5660103. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 69601/5660112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69602/5660121. ------ 1. ==[ start ]==> (((a a) b)((^b.b) a)) 2. ==[ alpha ]==> (((a a) b)((^x.x) a)) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 69603/5660139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 69604/5660148. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 69605/5660166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 69606/5660193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 69607/5660220. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 69608/5660301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 69609/5660328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 69610/5660382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(b a))) 5. ==[ beta ]==> (a ((a (^y.y))(b a))) 6. ==[ alpha ]==> (a ((a (^x.x))(b a))) REDUCED to normal form. ------ 69611/5660409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 69612/5660445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 69613/5660535. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 69614/5660553. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 69615/5660562. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 69616/5660634. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 69617/5660715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 69618/5660742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 69619/5660769. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a) b)) REDUCED to normal form. ------ 69620/5660832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 69621/5660859. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 69622/5660913. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 69623/5661003. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (b a))) 5. ==[ beta ]==> ((^y.y)(b (b a))) 6. ==[ alpha ]==> ((^x.x)(b (b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 69624/5661039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 69625/5661057. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 5. ==[ beta ]==> ((^y.y)((b a)(a a))) 6. ==[ alpha ]==> ((^x.x)((b a)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 69626/5661084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 69627/5661138. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 69628/5661318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 69629/5661471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (b ((^y.y)(^z.a))) 8. ==[ alpha ]==> (b ((^x.x)(^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 69630/5661498. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 69631/5661552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 69632/5661606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a) a)) REDUCED to normal form. ------ 69633/5661633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69634/5661696. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 69635/5661750. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 69636/5661777. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a (a a)) a)((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.b))) 7. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 69637/5661804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 69638/5661867. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (b a))) 3. ==[ beta ]==> ((^y.b)(a (b a))) 4. ==[ alpha ]==> ((^x.b)(a (b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69639/5661948. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((^z.z) a))) IRREDUCIBLE: cycle. ------ 69640/5662029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 69641/5662056. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 69642/5662083. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 69643/5662146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 69644/5662173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69645/5662200. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 69646/5662227. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 69647/5662263. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 69648/5662290. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 69649/5662317. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 69650/5662344. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 69651/5662371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 69652/5662416. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 69653/5662425. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 69654/5662452. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 69655/5662623. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 69656/5662632. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 69657/5662659. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a)) b)) 3. ==[ beta ]==> (((a a) a)((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 69658/5662677. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 69659/5662686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 69660/5662704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 69661/5662713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 69662/5662758. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 13. ==[ beta ]==> ((a (a a))(^y.y)) 14. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 69663/5662839. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 69664/5662875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 69665/5662911. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 69666/5662938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 69667/5662965. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 69668/5662992. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 12. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 69669/5663019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((a a) a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 69670/5663046. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 69671/5663064. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 69672/5663073. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 69673/5663100. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 69674/5663127. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 69675/5663298. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (b (a ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 69676/5663307. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b) c)((^x.(a a)) a)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 69677/5663334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b) b)) 3. ==[ beta ]==> (((a a) b)((^y.b) b)) 4. ==[ alpha ]==> (((a a) b)((^x.b) b)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 69678/5663379. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 69679/5663406. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 69680/5663460. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 69681/5663523. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 69682/5663550. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 69683/5663577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 69684/5663604. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 69685/5663640. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 69686/5663667. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 69687/5663694. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(a b))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 69688/5663721. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 69689/5663775. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 69690/5663802. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a b) a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 69691/5663829. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 69692/5663883. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a (b a))(^y.b)) 4. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 69693/5663973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 69694/5664054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 69695/5664117. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 69696/5664225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 69697/5664252. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 69698/5664306. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 69699/5664432. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 69700/5664531. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 69701/5664585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 69702/5664612. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 69703/5664639. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 69704/5664666. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 69705/5664711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69706/5664720. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 69707/5664810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (a (a a)))) 5. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 69708/5664891. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 69709/5665008. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 69710/5665035. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 69711/5665116. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a b)) REDUCED to normal form. ------ 69712/5665143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z)) c)) 5. ==[ beta ]==> ((^y.b)((a (^z.z)) c)) 6. ==[ alpha ]==> ((^x.b)((a (^y.y)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69713/5665188. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 69714/5665197. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 69715/5665224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 69716/5665251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 69717/5665305. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 69718/5665323. ------ 1. ==[ start ]==> ((a (^b.b))(c b)) 2. ==[ alpha ]==> ((a (^x.x))(c b)) REDUCED to normal form. ------ 69719/5665341. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 69720/5665368. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 69721/5665395. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 69722/5665422. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 69723/5665449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 69724/5665503. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 69725/5665530. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 69726/5665557. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 69727/5665602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69728/5665611. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 69729/5665638. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 69730/5665647. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 69731/5665674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 69732/5671464. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69733/5671773. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69734/5671782. ------ 1. ==[ start ]==> (((a a) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 69735/5672121. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 69736/5672220. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z)))(((a b)(^y.(^z.z)))((a b)(^y.(^z.z))))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a b)(^z.(^x1.x1)))((a b)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 69737/5672700. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 69738/5673003. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(^y.y))) 3. ==[ beta ]==> ((((b a)(^y.y))((b a)(^y.y)))((b a)(^y.y))) 4. ==[ alpha ]==> ((((b a)(^x.x))((b a)(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 69739/5673258. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(z a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z a))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y a))) 7. ==[ beta ]==> ((a a)(^y.(y a))) 8. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 69740/5673336. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 69741/5673780. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 69742/5673903. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.a)(a (a a)))((^z.a)(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.a)(a (a a)))((^z.a)(a (a a))))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a (a a))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a (a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 69743/5674110. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b) c)) 3. ==[ beta ]==> ((^y.y)(((a b) c)((a b) c))) 4. ==[ alpha ]==> ((^x.x)(((a b) c)((a b) c))) 5. ==[ beta ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 69744/5674284. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69745/5674293. ------ 1. ==[ start ]==> (((a b) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 69746/5674509. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 69747/5674734. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 69748/5674785. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b) b)) 3. ==[ beta ]==> ((((a b) b)((a b) b))(^y.y)) 4. ==[ alpha ]==> ((((a b) b)((a b) b))(^x.x)) REDUCED to normal form. ------ 69749/5674959. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 69750/5674968. ------ 1. ==[ start ]==> (((a b) c)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a b) c)(^x.(x x))) REDUCED to normal form. ------ 69751/5675157. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69752/5675355. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.b))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.b))) REDUCED to normal form. ------ 69753/5675904. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 69754/5676378. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 69755/5676849. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 69756/5676858. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 69757/5676957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69758/5676981. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69759/5677029. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.a))) REDUCED to normal form. ------ 69760/5677110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.z)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69761/5677191. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.c)) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.c)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.c)) REDUCED to normal form. ------ 69762/5677263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69763/5677296. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69764/5677299. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.b)) 3. ==[ beta ]==> ((a b)(^y.b)) 4. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 69765/5677308. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 69766/5677500. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69767/5677563. ------ 1. ==[ start ]==> (((^a.a) b)(c (b a))) 2. ==[ alpha ]==> (((^x.x) b)(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 69768/5677590. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 69769/5677608. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69770/5677617. ------ 1. ==[ start ]==> (((a a) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(a ((^x.x) b))) 3. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 69771/5677644. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 69772/5677671. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 69773/5677698. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 69774/5677752. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69775/5677833. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(a a))) REDUCED to normal form. ------ 69776/5677860. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 69777/5677887. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 69778/5677905. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69779/5677914. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 69780/5677959. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 69781/5677977. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 69782/5678004. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 69783/5678031. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 69784/5678058. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 69785/5678067. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1)))((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69786/5678094. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69787/5678148. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 9. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 69788/5678175. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 69789/5678202. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69790/5678256. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 69791/5678418. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69792/5678445. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69793/5678508. ------ 1. ==[ start ]==> (((a (a a)) b)(b (b a))) REDUCED to normal form. ------ 69794/5678535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 69795/5678562. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 69796/5678589. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 69797/5678616. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.a))((a a) a)) REDUCED to normal form. ------ 69798/5678643. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 69799/5678670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 69800/5678841. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.x))) REDUCED to normal form. ------ 69801/5678877. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69802/5678931. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(a (a a)))) 5. ==[ beta ]==> (a ((^z.b)(a (a a)))) 6. ==[ alpha ]==> (a ((^x.b)(a (a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 69803/5679012. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 69804/5679039. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69805/5679093. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(b a))) 7. ==[ beta ]==> ((a a)((^y.y)(b a))) 8. ==[ alpha ]==> ((a a)((^x.x)(b a))) 9. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 69806/5679174. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 69807/5679345. ------ 1. ==[ start ]==> (((^a.b) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(b ((a a)(^y.y)))) 3. ==[ beta ]==> (b (b ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 69808/5679507. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a) b)(^y.y)) 8. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 69809/5679534. ------ 1. ==[ start ]==> (((a b) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 69810/5679561. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a b))) REDUCED to normal form. ------ 69811/5679615. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 69812/5679714. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69813/5679741. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 69814/5679759. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 69815/5679813. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 69816/5679840. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 69817/5679894. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 69818/5679921. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b)(a a))((a a) b)) REDUCED to normal form. ------ 69819/5679948. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b) c)) 3. ==[ beta ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 69820/5679957. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69821/5679984. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69822/5680038. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((^y.(y y))(^z.a)) 8. ==[ alpha ]==> ((^x.(x x))(^y.a)) 9. ==[ beta ]==> ((^y.a)(^y.a)) 10. ==[ alpha ]==> ((^x.a)(^y.a)) 11. ==[ beta ]==> a REDUCED to normal form. ------ 69823/5680119. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 69824/5680128. ------ 1. ==[ start ]==> (((a b) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 69825/5680155. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 69826/5680182. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 69827/5680209. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((a a) a) a)) REDUCED to normal form. ------ 69828/5680263. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 69829/5680290. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((((^y.y) a)((a a) a))(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((a a) a))) 9. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((a a) a))) 10. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((a a) a))) 11. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 69830/5680317. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 69831/5680335. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 69832/5680344. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 69833/5680407. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 69834/5680434. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 69835/5680461. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a ((a a) a))(^y.(y y))) 8. ==[ alpha ]==> ((a ((a a) a))(^x.(x x))) REDUCED to normal form. ------ 69836/5680488. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 69837/5680542. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 69838/5680569. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 69839/5680596. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 69840/5680623. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) b)) REDUCED to normal form. ------ 69841/5680659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69842/5680794. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 69843/5680803. ------ 1. ==[ start ]==> (((a b) c)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 69844/5680830. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(a a))) 3. ==[ beta ]==> (((a a) b)((a b)(a a))) REDUCED to normal form. ------ 69845/5680857. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 69846/5680911. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 69847/5680938. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 69848/5680992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69849/5681037. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> (b ((^z.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 69850/5681136. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 69851/5681190. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.b))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.b))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.b))) REDUCED to normal form. ------ 69852/5681217. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b) a)) REDUCED to normal form. ------ 69853/5681244. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) b)) 7. ==[ beta ]==> ((^y.y)(((a a) a) b)) 8. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 9. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 69854/5681550. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 69855/5681658. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 9. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 69856/5681685. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69857/5681739. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 69858/5681820. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69859/5681856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 69860/5681883. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 69861/5681946. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 69862/5682081. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 69863/5682108. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 69864/5682135. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> (((a a) a)(a (^y.a))) 8. ==[ alpha ]==> (((a a) a)(a (^x.a))) REDUCED to normal form. ------ 69865/5682162. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 69866/5682216. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 69867/5682225. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69868/5682306. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 69869/5682495. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69870/5682522. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 69871/5682549. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69872/5682603. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 69873/5682639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(c (a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)(c (a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69874/5682684. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 69875/5682693. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 69876/5682720. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 69877/5682747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 69878/5682792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69879/5682819. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 69880/5682837. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 69881/5682864. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.a))) REDUCED to normal form. ------ 69882/5682891. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 69883/5682918. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 69884/5682945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a) c)) 3. ==[ beta ]==> (((^y.y)(a b))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((a a) c)) 5. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 69885/5682972. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 69886/5682999. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 69887/5683053. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 69888/5683098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a c)) 3. ==[ beta ]==> ((^y.(^z.z))(a c)) 4. ==[ alpha ]==> ((^x.(^y.y))(a c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69889/5683107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z)) a)) REDUCED to normal form. ------ 69890/5683134. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a) b)) 3. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 69891/5683143. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69892/5683170. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.z1))) 3. ==[ beta ]==> ((^y.y)(b (^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69893/5689275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b (a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((b (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 69894/5689296. ------ 1. ==[ start ]==> (((a a) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 69895/5689392. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) d)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69896/5689464. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)((a a) a))) 3. ==[ eta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 69897/5689620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69898/5689635. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 69899/5689917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 69900/5689959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69901/5690214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 69902/5690781. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y a))) REDUCED to normal form. ------ 69903/5690850. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 69904/5691030. ------ 1. ==[ start ]==> ((^a.(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((b ((a a)(^y.y))) b) 4. ==[ alpha ]==> ((b ((a a)(^x.x))) b) REDUCED to normal form. ------ 69905/5691417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.(z z)))(((a a) a)(^z.(z z))))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.(y y)))(((a a) a)(^z.(z z))))) REDUCED to normal form. ------ 69906/5691807. ------ 1. ==[ start ]==> (((a b) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69907/5692482. ------ 1. ==[ start ]==> (((a b) c)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(a a)))) REDUCED to normal form. ------ 69908/5692698. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 69909/5693055. ------ 1. ==[ start ]==> ((^a.(b a))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(b ((a a) a))) 3. ==[ eta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 69910/5693418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 69911/5693427. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 69912/5693886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69913/5694363. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 69914/5694372. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 69915/5694480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 69916/5694495. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69917/5694651. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 69918/5694777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69919/5694810. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 69920/5694822. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 69921/5695032. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 69922/5695113. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69923/5695122. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 69924/5695140. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 69925/5695158. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69926/5695185. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69927/5695239. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 69928/5695257. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 69929/5695284. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.y))) REDUCED to normal form. ------ 69930/5695311. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 69931/5695410. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 69932/5695437. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 69933/5695464. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 69934/5695482. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 69935/5695572. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 69936/5695590. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 69937/5695617. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 69938/5695653. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 69939/5695671. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.(a a))) 8. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 69940/5695680. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 69941/5695707. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 69942/5695734. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 69943/5695761. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 69944/5695779. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 69945/5695788. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69946/5695806. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 69947/5695896. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 69948/5696058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 69949/5696076. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 69950/5696229. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 69951/5696256. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 69952/5696283. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 69953/5696310. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 69954/5696337. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(b a))) 5. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 69955/5696400. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 69956/5696454. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.(z z)))) 5. ==[ beta ]==> (a ((a b)(^z.(z z)))) 6. ==[ alpha ]==> (a ((a b)(^x.(x x)))) REDUCED to normal form. ------ 69957/5696490. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 69958/5696517. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 69959/5696535. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 69960/5696562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 69961/5696571. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 69962/5696598. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 69963/5696625. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b a)) REDUCED to normal form. ------ 69964/5696697. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a (^x.b))((a a) c)) REDUCED to normal form. ------ 69965/5696868. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69966/5696877. ------ 1. ==[ start ]==> ((a (a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 69967/5696967. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a)) c)) IRREDUCIBLE: cycle. ------ 69968/5697138. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 69969/5697192. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 69970/5697219. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 69971/5697237. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 69972/5697246. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 69973/5697264. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 69974/5697435. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69975/5697480. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b) c)) 3. ==[ beta ]==> ((^y.(a a))((a b) c)) 4. ==[ alpha ]==> ((^x.(a a))((a b) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 69976/5697651. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 69977/5697696. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) b)) 5. ==[ beta ]==> ((a a)((^y.(a a)) b)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 69978/5697723. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 69979/5697840. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.b))) REDUCED to normal form. ------ 69980/5697867. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 69981/5698083. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69982/5698182. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 69983/5698326. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b) c)(^y.(a a))) 4. ==[ alpha ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 69984/5698515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 69985/5698542. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 69986/5698560. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 69987/5698569. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 69988/5698623. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 69989/5698902. ------ 1. ==[ start ]==> ((a (b a))(b ((a a) a))) REDUCED to normal form. ------ 69990/5698992. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 69991/5699136. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 69992/5699181. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.a))) REDUCED to normal form. ------ 69993/5699208. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 69994/5699244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 69995/5699262. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 69996/5699271. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a) a)) REDUCED to normal form. ------ 69997/5699325. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 69998/5699343. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 69999/5699352. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 70000/5699379. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 70001/5699406. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 70002/5699469. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 70003/5699496. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 70004/5699523. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 70005/5699550. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 70006/5699577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 70007/5699730. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70008/5699748. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70009/5699910. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 70010/5700018. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70011/5700027. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 70012/5700045. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 70013/5700054. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 70014/5700072. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 70015/5700126. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a)) a)) 7. ==[ beta ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 70016/5700135. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 70017/5700162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70018/5700216. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 70019/5700270. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 70020/5700324. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 70021/5700342. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 70022/5700387. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b c)) REDUCED to normal form. ------ 70023/5700468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (a (^y.y)))) 5. ==[ beta ]==> ((a b)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 70024/5700495. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 70025/5700522. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 70026/5700549. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 70027/5700621. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70028/5700657. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (a a))) 3. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 70029/5700666. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 70030/5700693. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70031/5700827. ------ 1. ==[ start ]==> (^a.((^a.b)(^c.a))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 70032/5700828. ------ 1. ==[ start ]==> (a ((^a.b)(^c.a))) 2. ==[ alpha ]==> (a ((^x.b)(^y.a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70033/5702208. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1)))))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2)))))(^z2.(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^z2.(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70034/5705295. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70035/5705583. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^x1.((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70036/5706675. ------ 1. ==[ start ]==> (((^a.b)(^c.a)) a) 2. ==[ alpha ]==> (((^x.b)(^y.a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70037/5706681. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 3. ==[ beta ]==> ((^y.b)(^z.a)) 4. ==[ alpha ]==> ((^x.b)(^y.a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70038/5706735. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 70039/5706816. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 5. ==[ beta ]==> ((^y.y)(^z1.z1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70040/5706855. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 70041/5706933. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (^x.(((a a)(^y.y)) a)) REDUCED to normal form. ------ 70042/5707275. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(a (a a)))(((^y.(a a))(a (a a)))((^y.(a a))(a (a a))))) 4. ==[ alpha ]==> (((^x.(a a))(a (a a)))(((^y.(a a))(a (a a)))((^z.(a a))(a (a a))))) 5. ==[ beta ]==> ((a a)(((^y.(a a))(a (a a)))((^z.(a a))(a (a a))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(a (a a)))((^y.(a a))(a (a a))))) 7. ==[ beta ]==> ((a a)((a a)((^y.(a a))(a (a a))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(a (a a))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 70043/5707773. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 70044/5708058. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.(^z.(^x1.x1))))(a (^y.(^z.(^x1.x1)))))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1)))))(a (^x2.(^y2.(^z2.z2))))) REDUCED to normal form. ------ 70045/5708061. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 70046/5708322. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 70047/5708571. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70048/5709114. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 70049/5709165. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(^x1.(^y1.y1)))((^z.(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70050/5709816. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 70051/5709840. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((^z.(a a))(^x1.x1))((^z.(a a))(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(^y.y))((^z.(a a))(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.y)))(^z.z)) 7. ==[ beta ]==> (((a a)(a a))(^z.z)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 70052/5710437. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(a x))) 3. ==[ eta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 70053/5710596. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70054/5710968. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 70055/5711145. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a ((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70056/5711148. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 70057/5711433. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^x1.x1)((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70058/5711436. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 70059/5711913. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 70060/5712111. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 70061/5712192. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 70062/5712273. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 70063/5712318. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70064/5712327. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 70065/5712351. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70066/5712390. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(z1 (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 70067/5712525. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70068/5712537. ------ 1. ==[ start ]==> ((a a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 70069/5712591. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 70070/5712672. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 70071/5712681. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70072/5712708. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70073/5712717. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 70074/5712735. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 70075/5712744. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70076/5712762. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 70077/5712789. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 70078/5712870. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.a)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 70079/5712897. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70080/5712951. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (a (((^y.y) a)((a a)(^z.z)))) 6. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> (a (a ((a a)(^y.y)))) 8. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 70081/5712978. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 70082/5713050. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 70083/5713122. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 70084/5713131. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 70085/5713203. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 70086/5713230. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 70087/5713311. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 70088/5713338. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 70089/5713428. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 70090/5713455. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 70091/5713626. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 70092/5713635. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70093/5713653. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 70094/5713689. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 70095/5713707. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 70096/5713914. ------ 1. ==[ start ]==> ((a ((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 70097/5714040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 70098/5714121. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 70099/5714202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70100/5714229. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 70101/5714265. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 70102/5714292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 70103/5714346. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 70104/5714373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 7. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 70105/5714400. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 70106/5714427. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 70107/5714436. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.b)(b ((a a)(^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70108/5714517. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 70109/5714598. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70110/5714625. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a b)((a (a a))((a a) a))) REDUCED to normal form. ------ 70111/5714652. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 70112/5714706. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 70113/5714742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70114/5714769. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70115/5714796. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 70116/5714832. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 70117/5714859. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 70118/5714886. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 70119/5714913. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 70120/5714940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 70121/5714967. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 70122/5714985. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y)) a)) 3. ==[ beta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 70123/5714994. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 70124/5715021. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 70125/5715192. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 70126/5715246. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 70127/5715255. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 70128/5715273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 70129/5715282. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 70130/5715327. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 13. ==[ beta ]==> ((^y.y)(a (a a))) 14. ==[ alpha ]==> ((^x.x)(a (a a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 70131/5715408. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (b ((a (^z.z))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 70132/5715480. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 70133/5715507. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 70134/5715561. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 70135/5715588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 13. ==[ beta ]==> ((a (a a))(^y.y)) 14. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 70136/5715615. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)((a a) a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 70137/5715633. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 70138/5715642. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 70139/5715669. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 70140/5715696. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 70141/5715867. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 70142/5715903. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a)) a)) 3. ==[ beta ]==> (((a a) b)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(a a)) a)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 70143/5715930. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 70144/5715948. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 70145/5715975. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 70146/5716029. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 70147/5716119. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 70148/5716146. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70149/5716173. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 70150/5716209. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 70151/5716236. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 70152/5716263. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 70153/5716290. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a b)) REDUCED to normal form. ------ 70154/5716317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 9. ==[ beta ]==> ((^y.b)(^z.z)) 10. ==[ alpha ]==> ((^x.b)(^y.y)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 70155/5716371. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 70156/5716398. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 70157/5716425. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 70158/5716452. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 70159/5716542. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 70160/5716623. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 70161/5716686. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.y))) REDUCED to normal form. ------ 70162/5716794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70163/5716821. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 70164/5716875. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 70165/5716902. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a)) c)) REDUCED to normal form. ------ 70166/5717001. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 70167/5717100. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.(x x)))) REDUCED to normal form. ------ 70168/5717127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 70169/5717181. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 70170/5717208. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 70171/5717235. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 70172/5717280. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70173/5717289. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 70174/5717379. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c ((^z.z) a))) 5. ==[ beta ]==> ((a a)(c ((^z.z) a))) 6. ==[ alpha ]==> ((a a)(c ((^x.x) a))) 7. ==[ beta ]==> ((a a)(c a)) REDUCED to normal form. ------ 70175/5717460. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 70176/5717577. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.z))) REDUCED to normal form. ------ 70177/5717604. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 70178/5717622. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 70179/5717685. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 70180/5717712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.b)(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70181/5717757. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (b (b ((^x1.x1) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 70182/5717793. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 70183/5717820. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 70184/5717865. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70185/5717910. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 70186/5717937. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 70187/5717964. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 70188/5717991. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 70189/5718018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 70190/5718045. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 70191/5718072. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.z))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 70192/5718099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 70193/5718126. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.a))) REDUCED to normal form. ------ 70194/5718171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70195/5718180. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.z))) REDUCED to normal form. ------ 70196/5718207. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 70197/5718216. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 70198/5718243. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 70199/5718378. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 70200/5718885. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 70201/5722854. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70202/5723745. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70203/5724234. ------ 1. ==[ start ]==> (((^a.b)(^c.a)) b) 2. ==[ alpha ]==> (((^x.b)(^y.a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70204/5724258. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70205/5724423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70206/5724432. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 70207/5724744. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 70208/5724747. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 70209/5724843. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(z z)))((((^y.y)(a a))(^z.(z z)))(((^y.y)(a a))(^z.(z z))))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((((^z.z)(a a))(^x1.(x1 x1)))(((^y1.y1)(a a))(^z1.(z1 z1))))) 5. ==[ beta ]==> (((a a)(^y.(y y)))((((^z.z)(a a))(^x1.(x1 x1)))(((^y1.y1)(a a))(^z1.(z1 z1))))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((((^y.y)(a a))(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1))))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(((a a)(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1))))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))) 9. ==[ beta ]==> (((a a)(^x.(x x)))(((a a)(^y.(y y)))((a a)(^x1.(x1 x1))))) 10. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.(y y)))((a a)(^z.(z z))))) REDUCED to normal form. ------ 70210/5725044. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 70211/5725068. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70212/5725341. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 70213/5725350. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 70214/5725959. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 70215/5726526. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.b)((^x1.x1) a))((^z.b)((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.(((^y.b)((^z.z) a))((^x1.b)((^y1.y1) a)))) 5. ==[ beta ]==> (^x.(b ((^x1.b)((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)((^z.z) a)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 70216/5726733. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a)) b)(((^z.z)(a a)) b))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a)) b)(((^z.z)(a a)) b))) 5. ==[ beta ]==> ((((^y.y)(a a)) b)(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) b)) 7. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) b)) 8. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 9. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 70217/5726943. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 70218/5727408. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((((^z.z)(a a)) a)(((^z.z)(a a)) a))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a)) a)(((^y.y)(a a)) a))(^z.z)) 5. ==[ beta ]==> ((((a a) a)(((^y.y)(a a)) a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(((^x.x)(a a)) a))(^y.y)) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 70219/5727591. ------ 1. ==[ start ]==> (((a b) c)(^d.(a b))) 2. ==[ alpha ]==> (((a b) c)(^x.(a b))) REDUCED to normal form. ------ 70220/5727618. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 70221/5727825. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 70222/5728716. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 70223/5729001. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70224/5729013. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70225/5729283. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70226/5729391. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 70227/5729508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (y y)))) REDUCED to normal form. ------ 70228/5729604. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70229/5729607. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 70230/5729841. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.c)) REDUCED to normal form. ------ 70231/5729919. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70232/5729958. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70233/5730093. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 70234/5730123. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 70235/5730177. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 70236/5730258. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70237/5730267. ------ 1. ==[ start ]==> (((a a) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 70238/5730285. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70239/5730294. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 70240/5730321. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 70241/5730348. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a (^z.z)))) REDUCED to normal form. ------ 70242/5730402. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 70243/5730483. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 70244/5730510. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 70245/5730537. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 70246/5730564. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(b a))) REDUCED to normal form. ------ 70247/5730591. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 70248/5730609. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 70249/5730627. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 70250/5730654. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70251/5730681. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 70252/5730708. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 70253/5730717. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.(a a))(a (a a)))((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.(a a))(a (a a)))((^y.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70254/5730744. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70255/5730798. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70256/5730825. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 70257/5730852. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70258/5730906. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 70259/5730933. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70260/5730951. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a) b)) REDUCED to normal form. ------ 70261/5731068. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70262/5731095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70263/5731149. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 70264/5731158. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 70265/5731185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (b a))) 3. ==[ beta ]==> (((^y.y) a)(b (b a))) 4. ==[ alpha ]==> (((^x.x) a)(b (b a))) 5. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 70266/5731203. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70267/5731212. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 70268/5731239. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(a a))) REDUCED to normal form. ------ 70269/5731266. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 70270/5731293. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 70271/5731320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 70272/5731581. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (a ((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 70273/5731662. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 70274/5731689. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 70275/5731743. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 70276/5731824. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 70277/5731995. ------ 1. ==[ start ]==> (((^a.b) a)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(c ((^y.y)(a a)))) 3. ==[ beta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 70278/5732013. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70279/5732157. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 70280/5732184. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b) a)(^y.y)) 8. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 70281/5732211. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))((a a) a))) REDUCED to normal form. ------ 70282/5732265. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 70283/5732283. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 70284/5732292. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 70285/5732364. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 70286/5732391. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 70287/5732409. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 70288/5732436. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 70289/5732490. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 70290/5732517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 70291/5732571. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 70292/5732598. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 70293/5732607. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70294/5732634. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70295/5732688. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70296/5732769. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70297/5732778. ------ 1. ==[ start ]==> (((a b) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) b)(b (a a))) REDUCED to normal form. ------ 70298/5732805. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 70299/5732832. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 70300/5732859. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(a (^z.z)))) REDUCED to normal form. ------ 70301/5732913. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 70302/5732940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(^z.z))) 12. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 70303/5732967. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 70304/5732985. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 70305/5732994. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 70306/5733021. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 70307/5733057. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 70308/5733084. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 70309/5733111. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 70310/5733138. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 70311/5733165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 70312/5733219. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 70313/5733246. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 70314/5733273. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 70315/5733309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70316/5733444. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70317/5733453. ------ 1. ==[ start ]==> (((a b) c)(b (a b))) REDUCED to normal form. ------ 70318/5733480. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 70319/5733507. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 70320/5733561. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 70321/5733588. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 70322/5733642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70323/5733669. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 70324/5733687. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 70325/5733786. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 70326/5733813. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 70327/5733840. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 70328/5733867. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 70329/5733894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b) a)) 7. ==[ beta ]==> ((^y.y)((a b) a)) 8. ==[ alpha ]==> ((^x.x)((a b) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 70330/5733921. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a) b)) REDUCED to normal form. ------ 70331/5733948. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (((a b) a)((^y.y) c)) 6. ==[ alpha ]==> (((a b) a)((^x.x) c)) 7. ==[ beta ]==> (((a b) a) c) REDUCED to normal form. ------ 70332/5734200. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 70333/5734308. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 70334/5734335. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70335/5734389. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 70336/5734470. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70337/5734596. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) a)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 70338/5734623. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 70339/5734758. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 70340/5734785. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 70341/5734812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.a))) REDUCED to normal form. ------ 70342/5734866. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70343/5734875. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70344/5734956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 70345/5735145. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70346/5735172. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 70347/5735199. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70348/5735253. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 70349/5735334. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70350/5735343. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 70351/5735370. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 70352/5735397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 70353/5735442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70354/5735451. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a) a)) REDUCED to normal form. ------ 70355/5735469. ------ 1. ==[ start ]==> ((a (^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 70356/5735487. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 70357/5735514. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70358/5735541. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 70359/5735568. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a) a)) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 70360/5735595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y)) b)) 5. ==[ beta ]==> ((a b)((a (^y.y)) b)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 70361/5735649. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) a)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 70362/5735676. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 70363/5735748. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70364/5735757. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70365/5735784. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) a)) 3. ==[ beta ]==> ((a b)((a (^y.y)) a)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 70366/5735793. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70367/5735820. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70368/5735955. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 70369/5741646. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70370/5741820. ------ 1. ==[ start ]==> (((^a.b)(^c.a)) c) 2. ==[ alpha ]==> (((^x.b)(^y.a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 70371/5742027. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 70372/5742168. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 70373/5742648. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 70374/5742663. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70375/5742945. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 70376/5743221. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)(b a))) 3. ==[ beta ]==> ((((a a)(b a))((a a)(b a)))((a a)(b a))) REDUCED to normal form. ------ 70377/5743512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70378/5743554. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 70379/5743734. ------ 1. ==[ start ]==> ((^a.(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((c ((^y.y)(a a))) b) 4. ==[ alpha ]==> ((c ((^x.x)(a a))) b) 5. ==[ beta ]==> ((c (a a)) b) REDUCED to normal form. ------ 70380/5744121. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.a))) 3. ==[ beta ]==> (^y.(((a b)(^z.a))((a b)(^z.a)))) 4. ==[ alpha ]==> (^x.(((a b)(^y.a))((a b)(^z.a)))) REDUCED to normal form. ------ 70381/5744295. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 70382/5744538. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70383/5745213. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 70384/5745429. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 70385/5745759. ------ 1. ==[ start ]==> ((^a.(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c ((^y.y)(^z.z)))) 3. ==[ eta ]==> (b (c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 70386/5745996. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 70387/5746329. ------ 1. ==[ start ]==> (((a a)(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((x x) x))) REDUCED to normal form. ------ 70388/5746887. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 70389/5746995. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 70390/5747103. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 70391/5747382. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a b)((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a b)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 70392/5747514. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70393/5747517. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 70394/5747688. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 70395/5747736. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (a ((^y.b)(^z.a))) 4. ==[ alpha ]==> (a ((^x.b)(^y.a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70396/5747790. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 70397/5747817. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70398/5747871. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 70399/5747898. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 70400/5747916. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 70401/5747943. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70402/5747988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 70403/5748015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 70404/5748042. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 70405/5748195. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 70406/5748321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.(z z)))(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(z z)))) 10. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 70407/5748348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 70408/5748384. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 70409/5748402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 70410/5748411. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 70411/5748429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 70412/5748438. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 70413/5748465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 70414/5748492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 70415/5748510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 70416/5748519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 70417/5748537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 70418/5748627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 70419/5748762. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 70420/5748816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 70421/5748834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70422/5748960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 70423/5748987. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 70424/5749014. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a b))) 5. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 70425/5749041. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 70426/5749068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 70427/5749095. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)(b a))) REDUCED to normal form. ------ 70428/5749131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 70429/5749185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (a ((a a)(^y.a))) 8. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 70430/5749221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a (a a)))) 5. ==[ beta ]==> (b ((^y.b)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70431/5749293. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 70432/5749302. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a b))) REDUCED to normal form. ------ 70433/5749329. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 70434/5749356. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 70435/5749383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70436/5749428. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 70437/5749599. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70438/5749608. ------ 1. ==[ start ]==> ((a (a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(c ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a b))(c (a a))) REDUCED to normal form. ------ 70439/5749869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 70440/5749896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 70441/5749968. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 70442/5749977. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 70443/5749995. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 70444/5750166. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 70445/5750211. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70446/5750238. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 70447/5750382. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 70448/5750454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70449/5750598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 70450/5750625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 70451/5750814. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70452/5750913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 70453/5751057. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 70454/5751084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.(a a))) 6. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 70455/5751129. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 70456/5751246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70457/5751273. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 70458/5751300. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 70459/5751327. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 70460/5751633. ------ 1. ==[ start ]==> ((a (b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (b a))(c (^y.y))) 4. ==[ alpha ]==> ((a (b a))(c (^x.x))) REDUCED to normal form. ------ 70461/5751723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) b)) 5. ==[ beta ]==> (b ((^z.a) b)) 6. ==[ alpha ]==> (b ((^x.a) b)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70462/5751867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.b))) REDUCED to normal form. ------ 70463/5751912. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 70464/5751939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 70465/5751975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 70466/5751993. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 70467/5752002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 70468/5752056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 70469/5752074. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70470/5752083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 70471/5752110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 70472/5752137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 70473/5752200. ------ 1. ==[ start ]==> (((a a)(b a))(a ((a a) a))) REDUCED to normal form. ------ 70474/5752227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 70475/5752254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 70476/5752281. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a b))(a ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 70477/5752308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 70478/5752335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 70479/5752461. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70480/5752479. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70481/5752560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a) c)) 5. ==[ beta ]==> ((a a)(((^z.z) a) c)) 6. ==[ alpha ]==> ((a a)(((^x.x) a) c)) 7. ==[ beta ]==> ((a a)(a c)) REDUCED to normal form. ------ 70482/5752641. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70483/5752758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 70484/5752776. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 70485/5752785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 70486/5752803. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 70487/5752857. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 70488/5752866. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 70489/5752893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70490/5752938. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (b ((a (^x1.x1)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 70491/5752947. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 70492/5752974. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 70493/5753055. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.a))) REDUCED to normal form. ------ 70494/5753118. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c b)) REDUCED to normal form. ------ 70495/5753145. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b c)) REDUCED to normal form. ------ 70496/5753199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (a a))) 3. ==[ beta ]==> (((^y.y)(a b))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (a a))) 5. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 70497/5753226. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 70498/5753253. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 70499/5753280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 70500/5753307. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(a (^y.y)))) REDUCED to normal form. ------ 70501/5753352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70502/5753361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b b)) REDUCED to normal form. ------ 70503/5753388. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(a c)) 3. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 70504/5753397. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 70505/5753424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 70506/5753559. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70507/5753585. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 70508/5753586. ------ 1. ==[ start ]==> (a ((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 70509/5756748. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.((^x1.x1)(a a)))(^z.((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)(a a))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 70510/5758944. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70511/5759259. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70512/5759433. ------ 1. ==[ start ]==> (((^a.b)(^c.a)) d) 2. ==[ alpha ]==> (((^x.b)(^y.a)) d) 3. ==[ beta ]==> (b d) REDUCED to normal form. ------ 70513/5759466. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70514/5759493. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^z.a))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 5. ==[ beta ]==> (b ((^z.b)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.b)(^y.a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70515/5759520. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 70516/5759667. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 70517/5759718. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(a (^z.z)))) 3. ==[ beta ]==> (^y.((b a)(a (^z.z)))) 4. ==[ alpha ]==> (^x.((b a)(a (^y.y)))) REDUCED to normal form. ------ 70518/5759961. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 70519/5759982. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 70520/5760411. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70521/5760585. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 70522/5761356. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70523/5761917. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70524/5761926. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 70525/5762178. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 70526/5762625. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^z.z)((^x1.x1)(a a)))((^z.z)((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z)((^x1.x1)(a a))))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)((^z.z)(a a))))(^x1.x1)) 7. ==[ beta ]==> (((a a)((^y.y)((^z.z)(a a))))(^x1.x1)) 8. ==[ alpha ]==> (((a a)((^x.x)((^y.y)(a a))))(^z.z)) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 70527/5762628. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 70528/5763042. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 70529/5763249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) a) 4. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) a) 5. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) a) 6. ==[ beta ]==> (((^y.y)(^z.z)) a) 7. ==[ alpha ]==> (((^x.x)(^y.y)) a) 8. ==[ beta ]==> ((^y.y) a) 9. ==[ alpha ]==> ((^x.x) a) 10. ==[ beta ]==> a REDUCED to normal form. ------ 70530/5763381. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70531/5763930. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70532/5763951. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 70533/5764113. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 70534/5764218. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70535/5764392. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 70536/5764617. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 70537/5764821. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70538/5764824. ------ 1. ==[ start ]==> ((a (^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 70539/5764842. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 70540/5764923. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 70541/5765004. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 70542/5765136. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70543/5765139. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 70544/5765148. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 70545/5765310. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 70546/5765349. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70547/5765376. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 70548/5765403. ------ 1. ==[ start ]==> ((a b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 70549/5765520. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 70550/5765547. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 70551/5765556. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 70552/5765574. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 70553/5765583. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 70554/5765601. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 70555/5765637. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) d)) 5. ==[ beta ]==> ((^y.(^z.z)) d) 6. ==[ alpha ]==> ((^x.(^y.y)) d) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70556/5765682. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 70557/5765709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 70558/5765763. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a (a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a (a a))((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a (a a))(a a))) REDUCED to normal form. ------ 70559/5765790. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 70560/5765844. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 70561/5765862. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 70562/5765889. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70563/5765934. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 70564/5766015. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 70565/5766042. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a)(^y.b)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 70566/5766069. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 70567/5766096. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 70568/5766150. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 70569/5766186. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 70570/5766267. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 70571/5766294. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 70572/5766438. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 5. ==[ beta ]==> ((^y.y)(b (b a))) 6. ==[ alpha ]==> ((^x.x)(b (b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 70573/5766465. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 70574/5766474. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70575/5766519. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 70576/5766852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(y y)))) 5. ==[ beta ]==> (b ((a b)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 70577/5766879. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 70578/5766933. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.b))) REDUCED to normal form. ------ 70579/5766960. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 70580/5766987. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70581/5767041. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a) a)) REDUCED to normal form. ------ 70582/5767104. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 70583/5767131. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 70584/5767185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 70585/5767212. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 70586/5767239. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 70587/5767248. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.b)(c ((^y.y)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70588/5767329. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(a a))) IRREDUCIBLE: cycle. ------ 70589/5767410. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 70590/5767437. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 70591/5767464. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 70592/5767518. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 70593/5767581. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 70594/5767608. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 70595/5767644. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 70596/5767698. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 70597/5767725. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 70598/5767752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(a b))) 7. ==[ beta ]==> (a ((^y.a)(a b))) 8. ==[ alpha ]==> (a ((^x.a)(a b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70599/5767779. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 70600/5767797. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 70601/5767806. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 70602/5768004. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 70603/5768058. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 70604/5768067. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 70605/5768085. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70606/5768094. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 70607/5768139. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z) a))) 9. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 11. ==[ beta ]==> (((a a) a)((^y.y) a)) 12. ==[ alpha ]==> (((a a) a)((^x.x) a)) 13. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 70608/5768148. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 70609/5768220. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (b (((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 70610/5768319. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 70611/5768346. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 70612/5768400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 70613/5768427. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((((a a) a) a)(^y.y)) 12. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 70614/5768445. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 70615/5768454. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 70616/5768481. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 70617/5768508. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 70618/5768679. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 70619/5768742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 70620/5768760. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 70621/5768787. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 70622/5768796. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 70623/5768841. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 70624/5768922. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 70625/5768958. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 70626/5768985. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 70627/5769021. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 70628/5769048. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 70629/5769075. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 70630/5769102. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 70631/5769129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a b))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 70632/5769156. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 70633/5769183. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 70634/5769210. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 70635/5769237. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 70636/5769264. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 70637/5769354. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(a a))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 70638/5769435. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 70639/5769606. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 70640/5769633. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70641/5769687. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 70642/5769714. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 70643/5769741. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 70644/5769813. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b (^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 70645/5769831. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(b a))(^y.a)) 4. ==[ alpha ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 70646/5769966. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 70647/5769993. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.a))) REDUCED to normal form. ------ 70648/5770020. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 70649/5770047. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 70650/5770092. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70651/5770101. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 70652/5770272. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 70653/5770380. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70654/5770416. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 70655/5770497. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 70656/5770524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) a)) 5. ==[ beta ]==> ((^y.b)((a (a a)) a)) 6. ==[ alpha ]==> ((^x.b)((a (a a)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70657/5770569. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (b (c (a (^x1.x1)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 70658/5770578. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 70659/5770632. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 70660/5770677. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70661/5770704. ------ 1. ==[ start ]==> ((a (^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 70662/5770722. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 70663/5770749. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 70664/5770776. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 70665/5770803. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 7. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 70666/5770830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 70667/5770857. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 70668/5770884. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 70669/5770938. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 70670/5770983. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70671/5770992. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 70672/5771019. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 70673/5771028. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 70674/5771055. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 70675/5771190. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 70676/5772048. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70677/5776899. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70678/5777124. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70679/5777205. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70680/5777316. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 70681/5777325. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 70682/5777610. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 70683/5777709. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.a))((((a a)(^y.y))(^z.a))(((a a)(^y.y))(^z.a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((((a a)(^z.z))(^x1.a))(((a a)(^y1.y1))(^z1.a)))) REDUCED to normal form. ------ 70684/5777934. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70685/5777937. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 70686/5778234. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 70687/5778243. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 70688/5778531. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 70689/5779323. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70690/5779392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.(a a))(a (^x1.x1)))((^z.(a a))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(a (^z.z)))((^x1.(a a))(a (^y1.y1))))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(a (^z.z))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 70691/5779575. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70692/5779599. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z)) a)(((a a)(^z.z)) a))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y)) a)(((a a)(^z.z)) a))) 5. ==[ beta ]==> ((((a a)(^y.y)) a)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 70693/5779827. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70694/5779836. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 70695/5780274. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^z.(a a)))((a a)(^z.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.(a a)))((a a)(^y.(a a))))(^z.z)) REDUCED to normal form. ------ 70696/5780511. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 70697/5780700. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 70698/5781267. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 70699/5781579. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70700/5781867. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70701/5782041. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70702/5782176. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 70703/5782401. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z (z z)))) REDUCED to normal form. ------ 70704/5782470. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70705/5782653. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.z)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 70706/5782785. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70707/5782788. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70708/5782797. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 70709/5782959. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 70710/5783016. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 70711/5783043. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70712/5783097. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 70713/5783160. ------ 1. ==[ start ]==> (((a a) b)(c (b a))) REDUCED to normal form. ------ 70714/5783178. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70715/5783187. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 70716/5783205. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 70717/5783214. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 70718/5783241. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 70719/5783295. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 70720/5783376. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 70721/5783403. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a a)((^y.y)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 70722/5783430. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 70723/5783457. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 70724/5783484. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 70725/5783502. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 70726/5783547. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 70727/5783574. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 70728/5783601. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 70729/5783637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70730/5783718. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 70731/5783745. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70732/5783799. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 70733/5783826. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 70734/5783844. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 70735/5783871. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a) b)) 3. ==[ beta ]==> (((a (^x.x)) a)((b a) b)) REDUCED to normal form. ------ 70736/5783961. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70737/5784042. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 9. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70738/5784105. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 70739/5784123. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70740/5784132. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 70741/5784159. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.a))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(a a))) REDUCED to normal form. ------ 70742/5784186. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 70743/5784213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 9. ==[ beta ]==> ((a a)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 70744/5784420. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 70745/5784474. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 70746/5784582. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70747/5784636. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 70748/5784735. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 70749/5784906. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70750/5785050. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)((a b) a)) REDUCED to normal form. ------ 70751/5785077. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 70752/5785104. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 70753/5785158. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 70754/5785185. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 70755/5785212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.a)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70756/5785257. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70757/5785284. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 70758/5785302. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.a))) REDUCED to normal form. ------ 70759/5785329. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 70760/5785356. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 70761/5785410. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.b))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.b))) 9. ==[ beta ]==> (a (a (^y.b))) 10. ==[ alpha ]==> (a (a (^x.b))) REDUCED to normal form. ------ 70762/5785437. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 70763/5785464. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 70764/5785491. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 70765/5785500. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70766/5785527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70767/5785581. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((^y.a)(^z.(z z))) 8. ==[ alpha ]==> ((^x.a)(^y.(y y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 70768/5785662. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70769/5785671. ------ 1. ==[ start ]==> (((a b) b)(c (a b))) REDUCED to normal form. ------ 70770/5785698. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 70771/5785725. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 70772/5785752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 70773/5785806. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 70774/5785833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 9. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 10. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 11. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 12. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 13. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 14. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 15. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 70775/5785860. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 70776/5785887. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 70777/5785914. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 70778/5785977. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.y))) REDUCED to normal form. ------ 70779/5786004. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 70780/5786031. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 70781/5786058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 9. ==[ beta ]==> ((a (a a))(^y.(y y))) 10. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 70782/5786085. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 70783/5786112. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 70784/5786139. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 70785/5786166. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 70786/5786202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70787/5786337. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70788/5786346. ------ 1. ==[ start ]==> (((a b) c)(c ((a a) a))) REDUCED to normal form. ------ 70789/5786373. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (a b))) 3. ==[ beta ]==> (((a a) b)(b (a b))) REDUCED to normal form. ------ 70790/5786400. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 70791/5786454. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 70792/5786481. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.b))((^z.z) a)) 8. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 9. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 70793/5786535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70794/5786562. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 70795/5786580. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 70796/5786589. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a b))) REDUCED to normal form. ------ 70797/5786679. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 70798/5786706. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 70799/5786733. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 70800/5786787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.b))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.b))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 70801/5786814. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b) a)) REDUCED to normal form. ------ 70802/5786841. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a) b)) 3. ==[ beta ]==> (((a b) a)(((a a) a) b)) REDUCED to normal form. ------ 70803/5787156. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((a a) a))) REDUCED to normal form. ------ 70804/5787201. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a a))) 3. ==[ beta ]==> ((b a)((^y.a)(a a))) 4. ==[ alpha ]==> ((b a)((^x.a)(a a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 70805/5787228. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70806/5787282. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 70807/5787363. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70808/5787471. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 70809/5787543. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 70810/5787570. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x)) c)) 3. ==[ beta ]==> (((a (a a))(a b))(c c)) REDUCED to normal form. ------ 70811/5787678. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a) a)(^y.y)) 10. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 70812/5787705. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70813/5787759. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 70814/5787768. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70815/5787849. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 70816/5787930. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 70817/5788038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70818/5788047. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(a (a a)))) REDUCED to normal form. ------ 70819/5788065. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 70820/5788092. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70821/5788146. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 70822/5788227. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 70823/5788236. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 70824/5788263. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 70825/5788290. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (a (a a)))) REDUCED to normal form. ------ 70826/5788344. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 70827/5788362. ------ 1. ==[ start ]==> ((a (^b.b))(b (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 70828/5788407. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.y))) REDUCED to normal form. ------ 70829/5788434. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 70830/5788461. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.a))) REDUCED to normal form. ------ 70831/5788488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a) a)) 5. ==[ beta ]==> ((a b)(((^y.y) a) a)) 6. ==[ alpha ]==> ((a b)(((^x.x) a) a)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 70832/5788515. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 70833/5788542. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a) c)) 3. ==[ beta ]==> (((a b)(^y.y))((a a) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((a a) c)) REDUCED to normal form. ------ 70834/5788569. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a) a)) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 70835/5788596. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 70836/5788641. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c a)) 3. ==[ beta ]==> ((^y.(^z.z))(c a)) 4. ==[ alpha ]==> ((^x.(^y.y))(c a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70837/5788650. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 70838/5788677. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 70839/5788686. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 70840/5788713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70841/5788848. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70842/5789715. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70843/5795001. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70844/5795043. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70845/5795115. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(a (a a)))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 70846/5795610. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70847/5795613. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 70848/5795919. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 70849/5796168. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a (^y.y))((a a)(^z.z)))((a (^y.y))((a a)(^z.z))))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1))))((a (^y1.y1))((a a)(^z1.z1)))) REDUCED to normal form. ------ 70850/5796486. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 70851/5796501. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((b a) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 70852/5797068. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(^x1.(^y1.y1)))(((^z.z)(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(((a a)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 70853/5797512. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 70854/5798187. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 70855/5798403. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 70856/5799132. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 70857/5799303. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 70858/5799438. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 70859/5799861. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 70860/5799969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70861/5800077. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 70862/5800146. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70863/5800356. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.y)) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 70864/5800428. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70865/5800461. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 70866/5800473. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 70867/5800635. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 70868/5800710. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 70869/5800737. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 70870/5800791. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70871/5800872. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 70872/5800899. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 70873/5800917. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70874/5800944. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 70875/5800962. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 70876/5800989. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 70877/5801016. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 70878/5801205. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 70879/5801295. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.a))(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 70880/5801322. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 70881/5801358. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 70882/5801403. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 70883/5801412. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 70884/5801430. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 70885/5801439. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 70886/5801466. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 70887/5801493. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 70888/5801511. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 70889/5801601. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 70890/5801736. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 70891/5801763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70892/5801817. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 70893/5801934. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 70894/5801961. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 70895/5801988. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 70896/5802015. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 70897/5802042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 70898/5802069. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 70899/5802159. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 70900/5802195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 70901/5802222. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 70902/5802240. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 70903/5802276. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 70904/5802303. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 70905/5802321. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(a (^y.(a a)))) 10. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 70906/5802330. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 70907/5802357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70908/5802384. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 70909/5802402. ------ 1. ==[ start ]==> ((a (^a.b))((b a) a)) 2. ==[ alpha ]==> ((a (^x.b))((b a) a)) REDUCED to normal form. ------ 70910/5802573. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70911/5802897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 70912/5802942. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 70913/5802951. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 70914/5802969. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 70915/5803140. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70916/5803185. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 70917/5803212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 70918/5803356. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 70919/5803383. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 70920/5803410. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 70921/5803428. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70922/5803482. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 9. ==[ beta ]==> ((^y.y)((^z.b) c)) 10. ==[ alpha ]==> ((^x.x)((^y.b) c)) 11. ==[ beta ]==> ((^y.b) c) 12. ==[ alpha ]==> ((^x.b) c) 13. ==[ beta ]==> b REDUCED to normal form. ------ 70923/5803635. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 70924/5803788. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 70925/5803887. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 70926/5804031. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 70927/5804058. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 70928/5804085. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 70929/5804103. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 70930/5804130. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70931/5804274. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.b))) REDUCED to normal form. ------ 70932/5804301. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 70933/5804328. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 70934/5804697. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) a)) 5. ==[ beta ]==> (b ((^z.b) a)) 6. ==[ alpha ]==> (b ((^x.b) a)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70935/5804841. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 70936/5804886. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 70937/5804913. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70938/5804949. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z) a))) 8. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) a))) 9. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 70939/5804967. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.(y y)))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 70940/5804976. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 70941/5805030. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 70942/5805048. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 70943/5805057. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 70944/5805084. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 70945/5805111. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 70946/5805174. ------ 1. ==[ start ]==> (((a a)(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(b (^x.x))) REDUCED to normal form. ------ 70947/5805201. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 70948/5805228. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 70949/5805255. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 70950/5805282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 70951/5805309. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 70952/5805336. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 70953/5805435. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70954/5805453. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 70955/5805534. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a)) b)) 5. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 70956/5805732. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(z z)))) REDUCED to normal form. ------ 70957/5805759. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 70958/5805777. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 70959/5805831. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 70960/5805840. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 70961/5805867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 70962/5805912. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (b (((^x1.x1) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 70963/5805921. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 70964/5805948. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 70965/5805975. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 70966/5806020. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70967/5806047. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 70968/5806065. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 70969/5806146. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b c)) 3. ==[ beta ]==> (((a (a a))(a a))(b c)) REDUCED to normal form. ------ 70970/5806227. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 70971/5806254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 70972/5806281. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 70973/5806326. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70974/5806362. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(b b)) 3. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 70975/5806371. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 70976/5806398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 70977/5806533. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 70978/5809074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.((a a)(^x1.x1)))(^z.((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((^y.((a a)(^z.z)))(^x1.((a a)(^y1.y1))))) 5. ==[ beta ]==> ((^y.((a a)(^z.z)))(^x1.((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 70979/5812521. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 70980/5812548. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 70981/5812722. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 70982/5812746. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 70983/5812989. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 70984/5813037. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 70985/5813334. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 70986/5813439. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70987/5813910. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b a))) 3. ==[ beta ]==> ((^y.y)(^y1.(b a))) 4. ==[ alpha ]==> ((^x.x)(^y.(b a))) 5. ==[ beta ]==> (^y.(b a)) 6. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 70988/5814384. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^z.b)) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.b)) b) 5. ==[ beta ]==> (((^y.b)(^y.b)) b) 6. ==[ alpha ]==> (((^x.b)(^y.b)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 70989/5814477. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(y y))) b) 4. ==[ beta ]==> (((^y.(y y))(^y.(y y))) b) 5. ==[ alpha ]==> (((^x.(x x))(^y.(y y))) b) IRREDUCIBLE: cycle. ------ 70990/5814978. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((a a)(^x1.x1)))((^z.z)((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1))))) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 70991/5814981. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 70992/5815233. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 70993/5815467. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 70994/5815653. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a b))((^z.(^x1.x1))(a b)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a b)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a b)))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))(a b))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 70995/5815908. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 70996/5816304. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(a x))) 3. ==[ eta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 70997/5816409. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.(z z)))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 70998/5816502. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z b))) 5. ==[ beta ]==> (b (^z.(z b))) 6. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 70999/5816835. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 71000/5817006. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 71001/5817246. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^x1.a)((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 71002/5817672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71003/5817780. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.d)) REDUCED to normal form. ------ 71004/5817849. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71005/5817897. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 71006/5817978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 71007/5818059. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 71008/5818131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71009/5818140. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.z))) REDUCED to normal form. ------ 71010/5818164. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71011/5818338. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 71012/5818431. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 71013/5818458. ------ 1. ==[ start ]==> ((a b)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 71014/5818512. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 71015/5818602. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 71016/5818629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 71017/5818638. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 71018/5818656. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 71019/5818737. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 71020/5818764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 71021/5818818. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(a b))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> (a ((^y.y)(a b))) 8. ==[ alpha ]==> (a ((^x.x)(a b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 71022/5818845. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 71023/5818899. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 71024/5818917. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 71025/5818944. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 71026/5818971. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 71027/5818989. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 71028/5819070. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 71029/5819124. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 71030/5819151. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 71031/5819241. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 71032/5819268. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 71033/5819313. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((b b)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 71034/5819349. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 71035/5819520. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 71036/5819556. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 71037/5819574. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a a))) REDUCED to normal form. ------ 71038/5819817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 71039/5819907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (b ((a a)(^y.a))) 8. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 71040/5819934. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 71041/5819988. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 71042/5820015. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 71043/5820042. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 71044/5820186. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 71045/5820213. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 71046/5820267. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 71047/5820294. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a (a b))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 71048/5820384. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (b a))) IRREDUCIBLE: cycle. ------ 71049/5820447. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a)) c)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 71050/5820465. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (b ((a b)((^z.z) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 71051/5820492. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 71052/5820519. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71053/5820573. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (a b))) REDUCED to normal form. ------ 71054/5820663. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 71055/5820699. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 71056/5820726. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 71057/5820780. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 71058/5820807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a) a))) 7. ==[ beta ]==> (a ((^y.(y y))((a a) a))) 8. ==[ alpha ]==> (a ((^x.(x x))((a a) a))) 9. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 71059/5820834. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 71060/5820852. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 71061/5820861. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 71062/5820888. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 71063/5821113. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 71064/5821140. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 71065/5821149. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 71066/5821194. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (^z.z)))) 9. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 10. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 11. ==[ beta ]==> ((a b)(a (^y.y))) 12. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 71067/5821203. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 71068/5821275. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 71069/5821347. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 71070/5821374. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 71071/5821401. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 71072/5821428. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 71073/5821482. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 71074/5821500. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 71075/5821509. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 10. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 71076/5821536. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 71077/5821563. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 71078/5821815. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 71079/5821842. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 71080/5821851. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 71081/5821878. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 71082/5821896. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) a)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 9. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 71083/5821977. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 71084/5822040. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 71085/5822103. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 71086/5822130. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a (a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 71087/5822157. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 71088/5822184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71089/5822211. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a b)) REDUCED to normal form. ------ 71090/5822238. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b) a)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 71091/5822292. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 71092/5822319. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 71093/5822409. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 71094/5822490. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 71095/5822661. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 71096/5822688. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 71097/5822742. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 71098/5822769. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 71099/5822796. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 71100/5822886. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 71101/5823048. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 71102/5823102. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 71103/5823147. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71104/5823156. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 71105/5823327. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 71106/5823435. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71107/5823462. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 71108/5823552. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 71109/5823579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71110/5823633. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 71111/5823732. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71112/5823741. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 71113/5823759. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 71114/5823777. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 71115/5823804. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(y y)))) REDUCED to normal form. ------ 71116/5823831. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 71117/5823858. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 71118/5823885. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 71119/5823912. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 71120/5823939. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 71121/5823966. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 71122/5824038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71123/5824047. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.a))) REDUCED to normal form. ------ 71124/5824074. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 71125/5824083. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 71126/5824245. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 71127/5826021. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(z a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71128/5830452. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71129/5830461. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 71130/5830818. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(^y.(^z.z)))(((b a)(^y.(^z.z)))((b a)(^y.(^z.z))))) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))(((b a)(^z.(^x1.x1)))((b a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 71131/5831043. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71132/5831379. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 71133/5831934. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71134/5831937. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(y a))) REDUCED to normal form. ------ 71135/5832501. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a a))((^z.(^x1.x1))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71136/5832720. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71137/5832963. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71138/5832972. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 71139/5833383. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.b))((a (^z.z))(^x1.b)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.b))((a (^z.z))(^x1.b)))(^y1.y1)) REDUCED to normal form. ------ 71140/5833422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 71141/5833638. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 71142/5834232. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.z))) 5. ==[ beta ]==> (b (^z.(^x1.z))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 71143/5834421. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.b))) 3. ==[ beta ]==> ((b a)(^y.(^z.b))) 4. ==[ alpha ]==> ((b a)(^x.(^y.b))) REDUCED to normal form. ------ 71144/5834583. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 71145/5834688. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71146/5834976. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 71147/5835312. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71148/5835579. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71149/5835708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.a))) 6. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 71150/5835861. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71151/5835870. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.c)) REDUCED to normal form. ------ 71152/5835894. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71153/5835933. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 71154/5836068. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 71155/5836179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71156/5836206. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 71157/5836341. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 71158/5836350. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71159/5836368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71160/5836377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 71161/5836413. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 71162/5836431. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 71163/5836512. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.y))) REDUCED to normal form. ------ 71164/5836539. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 71165/5836566. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 71166/5836593. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a a))) REDUCED to normal form. ------ 71167/5836620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 71168/5836710. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 71169/5836737. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 71170/5836773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71171/5836827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 71172/5836881. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71173/5836935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 71174/5836962. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71175/5836980. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 71176/5837007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 71177/5837034. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((b a) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a) b)) REDUCED to normal form. ------ 71178/5837097. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71179/5837124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71180/5837178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71181/5837232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 71182/5837241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 71183/5837268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (b a))) REDUCED to normal form. ------ 71184/5837295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 71185/5837322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 71186/5837349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 71187/5837691. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 71188/5837772. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a b))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a b))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 9. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 71189/5837853. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(b a))) 3. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 71190/5837871. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a) a)) REDUCED to normal form. ------ 71191/5837898. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 71192/5838042. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71193/5838186. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 71194/5838213. ------ 1. ==[ start ]==> (((a b) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((a b)((^x.x) a))) 3. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 71195/5838240. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 71196/5838294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 71197/5838321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 71198/5838348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 71199/5838375. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 71200/5838420. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 71201/5838438. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 71202/5838465. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.a))) REDUCED to normal form. ------ 71203/5838492. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 71204/5838519. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 71205/5838573. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 71206/5838600. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 71207/5838636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71208/5838663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71209/5838717. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 71210/5838798. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71211/5838852. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71212/5838861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 71213/5838879. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71214/5838888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 71215/5838942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 71216/5838969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)((^y.y) a))(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)((^y.y) a))) 9. ==[ beta ]==> ((((a a) a) a)(((a a) a)((^y.y) a))) 10. ==[ alpha ]==> ((((a a) a) a)(((a a) a)((^x.x) a))) 11. ==[ beta ]==> ((((a a) a) a)(((a a) a) a)) REDUCED to normal form. ------ 71217/5838996. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a (a a))) REDUCED to normal form. ------ 71218/5839023. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 71219/5839050. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 71220/5839140. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 71221/5839167. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 71222/5839194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.a))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 71223/5839221. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((((a a) a) a)(^y.(y y))) 8. ==[ alpha ]==> ((((a a) a) a)(^x.(x x))) REDUCED to normal form. ------ 71224/5839248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 71225/5839302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 71226/5839338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71227/5839473. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71228/5839482. ------ 1. ==[ start ]==> (((a b) c)(d ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(d (^y.y))) 4. ==[ alpha ]==> (((a b) c)(d (^x.x))) REDUCED to normal form. ------ 71229/5839509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c ((a a) a))) 3. ==[ beta ]==> (((a a) b)(c ((a a) a))) REDUCED to normal form. ------ 71230/5839536. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (a b))) REDUCED to normal form. ------ 71231/5839554. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 71232/5839590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(a a))) REDUCED to normal form. ------ 71233/5839617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 71234/5839671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71235/5839698. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 71236/5839716. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 71237/5839725. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 71238/5839752. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 71239/5839815. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 71240/5839842. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.a)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 71241/5839869. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 71242/5839896. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 71243/5839950. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 71244/5839977. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b) a)) 3. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 71245/5840004. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 71246/5840148. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.b))) 5. ==[ beta ]==> (b ((^z.z)(^x1.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 71247/5840292. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 71248/5840337. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.b))) 3. ==[ beta ]==> ((b a)(a (^y.b))) 4. ==[ alpha ]==> ((b a)(a (^x.b))) REDUCED to normal form. ------ 71249/5840418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a b)(a b))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 9. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 71250/5840499. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 71251/5840607. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 71252/5840706. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 71253/5840841. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 71254/5840895. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 71255/5840904. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71256/5840985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71257/5841066. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71258/5841183. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.z)) a)) REDUCED to normal form. ------ 71259/5841201. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 71260/5841210. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a (a a)))) REDUCED to normal form. ------ 71261/5841228. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 71262/5841282. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 71263/5841291. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c c)) REDUCED to normal form. ------ 71264/5841363. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71265/5841426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 71266/5841480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 71267/5841498. ------ 1. ==[ start ]==> ((a (^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 71268/5841570. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 71269/5841597. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 71270/5841624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.a))) 5. ==[ beta ]==> ((a b)((a a)(^y.a))) 6. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 71271/5841651. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 71272/5841678. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 71273/5841732. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 71274/5841777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71275/5841813. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 71276/5841822. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71277/5841849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 71278/5841984. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 71279/5843769. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71280/5848218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 71281/5848233. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z) a)) 3. ==[ beta ]==> (^y.((^z.z) a)) 4. ==[ alpha ]==> (^x.((^y.y) a)) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 71282/5848305. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 71283/5849136. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 71284/5849358. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((((^y.y) a)((^z.z)(a a)))(((^y.y) a)((^z.z)(a a))))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))(((^y1.y1) a)((^z1.z1)(a a)))) 5. ==[ beta ]==> (((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))(((^y1.y1) a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a))))(((^x1.x1) a)((^y1.y1)(a a)))) 7. ==[ beta ]==> (((a (a a))(((^y.y) a)((^z.z)(a a))))(((^x1.x1) a)((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((a (a a))(((^x.x) a)((^y.y)(a a))))(((^z.z) a)((^x1.x1)(a a)))) 9. ==[ beta ]==> (((a (a a))(a ((^y.y)(a a))))(((^z.z) a)((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((a (a a))(a ((^x.x)(a a))))(((^y.y) a)((^z.z)(a a)))) 11. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((^z.z)(a a)))) 12. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((^y.y)(a a)))) 13. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y)(a a)))) 14. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x)(a a)))) 15. ==[ beta ]==> (((a (a a))(a (a a)))(a (a a))) REDUCED to normal form. ------ 71285/5849694. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 71286/5850258. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(^x1.x1))(((a a)(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.y1)))) REDUCED to normal form. ------ 71287/5850477. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71288/5850729. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 71289/5850954. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 71290/5851179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 71291/5851620. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 71292/5852340. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 71293/5852349. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 71294/5852520. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((z z) z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((y y) y))) 5. ==[ beta ]==> ((a (a a))(^y.((y y) y))) 6. ==[ alpha ]==> ((a (a a))(^x.((x x) x))) REDUCED to normal form. ------ 71295/5853336. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71296/5853384. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 71297/5853573. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 71298/5853651. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71299/5853825. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 71300/5853954. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 71301/5853981. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 71302/5854008. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71303/5854035. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71304/5854062. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 71305/5854116. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71306/5854143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 71307/5854161. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 71308/5854179. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 71309/5854206. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 71310/5854233. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 71311/5854242. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) d)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 71312/5854422. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 71313/5854449. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71314/5854494. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71315/5854512. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 71316/5854539. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 71317/5854575. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 71318/5854593. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 71319/5854602. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 71320/5854647. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71321/5854656. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 71322/5854683. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 71323/5854710. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 71324/5854953. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 71325/5854980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (a ((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 71326/5855007. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 71327/5855061. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 71328/5855079. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 71329/5855151. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 71330/5855178. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 71331/5855205. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 71332/5855232. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 71333/5855259. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a b))) 5. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 71334/5855286. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 71335/5855376. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(^z.z))) 5. ==[ beta ]==> (a ((b a)(^z.z))) 6. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 71336/5855412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71337/5855439. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 71338/5855457. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 71339/5855484. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 71340/5855493. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 71341/5855520. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 71342/5855538. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.b))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.b))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 71343/5855547. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a b)(a b))) REDUCED to normal form. ------ 71344/5855574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71345/5855601. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 71346/5855790. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71347/5855970. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (b ((^z.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 71348/5856114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(c (^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)(c (^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 71349/5856141. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 71350/5856186. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 71351/5856357. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71352/5856402. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71353/5856429. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 71354/5856483. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b) c)) 5. ==[ beta ]==> ((^y.y)((a b) c)) 6. ==[ alpha ]==> ((^x.x)((a b) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 71355/5856573. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 71356/5856600. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 71357/5856627. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 71358/5856654. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 71359/5856699. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 9. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 11. ==[ beta ]==> ((^y.(a a)) b) 12. ==[ alpha ]==> ((^x.(a a)) b) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71360/5856852. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 71361/5856879. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a a))) REDUCED to normal form. ------ 71362/5857005. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71363/5857104. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 71364/5857248. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 71365/5857275. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 71366/5857302. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 71367/5857347. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71368/5857491. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 71369/5857518. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 71370/5857545. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 71371/5857995. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71372/5858058. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 71373/5858130. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 71374/5858166. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 71375/5858184. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 71376/5858193. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 71377/5858247. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71378/5858265. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 71379/5858274. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 71380/5858301. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 71381/5858328. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 71382/5858391. ------ 1. ==[ start ]==> (((a a)(b a))(c (a (a a)))) REDUCED to normal form. ------ 71383/5858418. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 71384/5858445. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a ((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((a a) a))) 5. ==[ beta ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 71385/5858472. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 71386/5858499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 71387/5858526. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 71388/5858553. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 71389/5858580. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 71390/5858652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71391/5858670. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71392/5858751. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 71393/5858940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71394/5858976. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 71395/5859048. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 71396/5859057. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 71397/5859084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71398/5859129. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 71399/5859138. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71400/5859165. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 71401/5859192. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 71402/5859237. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71403/5859264. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 71404/5859282. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 71405/5859309. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a) a)) REDUCED to normal form. ------ 71406/5859390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b c)) 3. ==[ beta ]==> (((^y.y)(a b))(b c)) 4. ==[ alpha ]==> (((^x.x)(a b))(b c)) 5. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 71407/5859444. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (a a))) 3. ==[ beta ]==> (((a b)(^y.y))(c (a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (a a))) REDUCED to normal form. ------ 71408/5859471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 71409/5859498. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 71410/5859543. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71411/5859552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(a (^z.z)))) REDUCED to normal form. ------ 71412/5859579. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(c a)) 3. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 71413/5859588. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 71414/5859615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71415/5859750. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 71416/5860086. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (^x.(^y.((^z.z) b))) 5. ==[ beta ]==> (^x.(^y.b)) REDUCED to normal form. ------ 71417/5865504. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71418/5865819. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 71419/5865900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71420/5866017. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.(a ((^z.z) b))) 4. ==[ alpha ]==> (^x.(a ((^y.y) b))) 5. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 71421/5866020. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 71422/5866260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 71423/5866335. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 71424/5866359. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a))(((^y.(^z.(^x1.x1)))(a a))((^y.(^z.(^x1.x1)))(a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.(^y1.(^z1.z1)))(a a))((^x2.(^y2.(^z2.z2)))(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.(^z1.z1)))(a a))((^x2.(^y2.(^z2.z2)))(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(a a))((^z1.(^x2.(^y2.y2)))(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71425/5866632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71426/5866938. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 71427/5867496. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(x a))) REDUCED to normal form. ------ 71428/5867655. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.a)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71429/5868018. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 71430/5868249. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1)(a a)))((^z.(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71431/5868924. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((^z.a)((a a) a))((^z.a)((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)((a a) a))((^y.a)((a a) a)))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a)((a a) a)))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a)((a a) a)))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71432/5869206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 71433/5869602. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a y))) 3. ==[ eta ]==> (((a b)((^x.x) a)) a) 4. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 71434/5869680. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71435/5869962. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((a a) a))) 3. ==[ beta ]==> ((b a)(^y.((a a) a))) 4. ==[ alpha ]==> ((b a)(^x.((a a) a))) REDUCED to normal form. ------ 71436/5870133. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 71437/5870304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.a))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.a))) REDUCED to normal form. ------ 71438/5870517. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 71439/5870853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 71440/5871096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71441/5871120. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71442/5871195. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 71443/5871276. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 71444/5871357. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.a))) REDUCED to normal form. ------ 71445/5871435. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71446/5871438. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 71447/5871609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 71448/5871756. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 71449/5871837. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 71450/5871927. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 71451/5871954. ------ 1. ==[ start ]==> ((a (^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 71452/5871990. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71453/5872035. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 71454/5872062. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 71455/5872116. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a) a))) 5. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 71456/5872143. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 71457/5872197. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 71458/5872242. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 71459/5872269. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (^y.y))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 71460/5872287. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 71461/5872296. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 71462/5872368. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 71463/5872395. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 71464/5872449. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.b)) REDUCED to normal form. ------ 71465/5872476. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 71466/5872539. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 71467/5872566. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 71468/5872593. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 71469/5872611. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a) b)) 3. ==[ beta ]==> ((b b)((b a) b)) REDUCED to normal form. ------ 71470/5872872. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71471/5872881. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 71472/5873115. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 71473/5873205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 71474/5873232. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.a))) REDUCED to normal form. ------ 71475/5873286. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 71476/5873340. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 71477/5873367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71478/5873430. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(b a))) 3. ==[ beta ]==> (((a a)((a a) a))(b a)) REDUCED to normal form. ------ 71479/5873511. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 71480/5873538. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 71481/5873592. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 71482/5873682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((a a)(^z.z)))) IRREDUCIBLE: cycle. ------ 71483/5873745. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 71484/5873763. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 71485/5873772. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b) a)((^x.(a a)) c)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 71486/5873790. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a b)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 71487/5873817. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 71488/5873871. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 71489/5873952. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 71490/5873997. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 71491/5874024. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 71492/5874051. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 71493/5874105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 71494/5874132. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 71495/5874150. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 71496/5874159. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a b))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 71497/5874186. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 71498/5874438. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 71499/5874492. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 11. ==[ beta ]==> (((^y.y)(a a))(a a)) 12. ==[ alpha ]==> (((^x.x)(a a))(a a)) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 71500/5874501. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 71501/5874528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b) c)) 5. ==[ beta ]==> ((^y.(y y))((^z.b) c)) 6. ==[ alpha ]==> ((^x.(x x))((^y.b) c)) 7. ==[ beta ]==> (((^y.b) c)((^y.b) c)) 8. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 9. ==[ beta ]==> (b ((^y.b) c)) 10. ==[ alpha ]==> (b ((^x.b) c)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 71502/5874555. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a) d)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 71503/5874573. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 71504/5874672. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(a a)))) REDUCED to normal form. ------ 71505/5874726. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 71506/5874753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 71507/5874798. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 71508/5874807. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 71509/5874834. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 71510/5874861. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 71511/5875113. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (a b))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a b))) REDUCED to normal form. ------ 71512/5875140. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 71513/5875149. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 71514/5875176. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.b) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.b) b)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 71515/5875194. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 71516/5875275. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 71517/5875374. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 71518/5875428. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 71519/5875455. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 71520/5875482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 71521/5875509. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 71522/5875536. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a b) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 71523/5875563. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 71524/5875617. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 71525/5875707. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b ((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b ((a a) a))) 5. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 71526/5875788. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 71527/5875896. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)((a a) a))) 3. ==[ beta ]==> ((b a)((a a)((a a) a))) REDUCED to normal form. ------ 71528/5875959. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 71529/5875986. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 71530/5876040. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 71531/5876067. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 71532/5876094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a) a)) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 71533/5876121. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 71534/5876184. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 71535/5876211. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 71536/5876346. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.(x x)))) REDUCED to normal form. ------ 71537/5876373. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 71538/5876445. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71539/5876454. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 71540/5876625. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> (b (c ((^x1.x1) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 71541/5876733. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71542/5876742. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 71543/5876760. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 71544/5876787. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 71545/5876850. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 71546/5876877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71547/5876931. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 71548/5876958. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 71549/5876985. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z)) c)) REDUCED to normal form. ------ 71550/5877030. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71551/5877039. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 71552/5877057. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 71553/5877102. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.a))) REDUCED to normal form. ------ 71554/5877129. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 71555/5877156. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 71556/5877183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 71557/5877210. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 71558/5877237. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 71559/5877264. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 71560/5877291. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 71561/5877336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71562/5877345. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 71563/5877372. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.a))) 3. ==[ beta ]==> ((a b)(a (^y.a))) 4. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 71564/5877381. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 71565/5877408. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 71566/5877543. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 71567/5877632. ------ 1. ==[ start ]==> (^a.((b a) c)) 2. ==[ alpha ]==> (^x.((b x) c)) REDUCED to normal form. ------ 71568/5877633. ------ 1. ==[ start ]==> (a ((b a) c)) REDUCED to normal form. ------ 71569/5877888. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71570/5883306. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71571/5883576. ------ 1. ==[ start ]==> ((^a.a)((b a) c)) 2. ==[ alpha ]==> ((^x.x)((b a) c)) 3. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 71572/5883666. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71573/5883828. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71574/5883831. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 71575/5884170. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1))(((a (^y.(^z.z)))(^x1.x1))((a (^y.(^z.z)))(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a (^x1.(^y1.y1)))(^z1.z1))((a (^x2.(^y2.y2)))(^z2.z2)))) REDUCED to normal form. ------ 71576/5884395. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71577/5884749. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 71578/5884758. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 71579/5885046. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 71580/5885286. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71581/5885838. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 71582/5886060. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.(a a)))((a (^z.z))(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(a a))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 71583/5886099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 71584/5887017. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 71585/5887026. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.(z z))) REDUCED to normal form. ------ 71586/5887413. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.b))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.b))) REDUCED to normal form. ------ 71587/5887491. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z)) c)) 3. ==[ eta ]==> (b (((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 71588/5887800. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 71589/5888040. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71590/5888328. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 71591/5888421. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71592/5888799. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 71593/5888907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71594/5888916. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 71595/5889246. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71596/5889249. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.c)) 3. ==[ beta ]==> ((a b)(^y.c)) 4. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 71597/5889258. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 71598/5889420. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 71599/5889522. ------ 1. ==[ start ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 71600/5889585. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 71601/5889612. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 71602/5889666. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71603/5889747. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71604/5889756. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71605/5889774. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 71606/5889792. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 71607/5889810. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 71608/5889819. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 71609/5889891. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 71610/5889918. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 71611/5889945. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 71612/5889972. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 71613/5889999. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 71614/5890116. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 71615/5890125. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a))((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71616/5890206. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 7. ==[ beta ]==> ((^y.(a a))(a (a a))) 8. ==[ alpha ]==> ((^x.(a a))(a (a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71617/5890233. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 71618/5890314. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 71619/5890341. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 71620/5890386. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 71621/5890413. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 71622/5890440. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a) b)) REDUCED to normal form. ------ 71623/5890476. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71624/5890503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71625/5890611. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 9. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71626/5890638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 71627/5890674. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (b a))) 3. ==[ beta ]==> ((a (^y.a))(b (b a))) 4. ==[ alpha ]==> ((a (^x.a))(b (b a))) REDUCED to normal form. ------ 71628/5890692. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 71629/5890701. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71630/5890728. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 5. ==[ beta ]==> ((^y.y)((b a)(a a))) 6. ==[ alpha ]==> ((^x.x)((b a)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 71631/5890935. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 71632/5890989. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 71633/5891070. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 71634/5891097. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71635/5891151. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71636/5891232. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 71637/5891277. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) a)) REDUCED to normal form. ------ 71638/5891304. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 71639/5891421. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71640/5891565. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 71641/5891592. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 71642/5891619. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a b) a)) REDUCED to normal form. ------ 71643/5891673. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71644/5891700. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 71645/5891727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 71646/5891754. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 71647/5891772. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 71648/5891781. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 71649/5891817. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 71650/5891844. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 71651/5891871. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 71652/5891898. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 71653/5891925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 71654/5891979. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.b))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.b))) REDUCED to normal form. ------ 71655/5892006. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 71656/5892015. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71657/5892042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71658/5892096. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71659/5892177. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71660/5892231. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 71661/5892240. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a b))) REDUCED to normal form. ------ 71662/5892258. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71663/5892267. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b (a a))) REDUCED to normal form. ------ 71664/5892321. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 71665/5892348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(a (^y.y)))) 7. ==[ beta ]==> (((a b)(a (^y.y)))((a b)(a (^y.y)))) 8. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 71666/5892375. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 71667/5892402. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 71668/5892429. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 71669/5892546. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 71670/5892573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 71671/5892600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 71672/5892627. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 71673/5892654. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 71674/5892717. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71675/5892852. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71676/5892933. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 71677/5892960. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 71678/5892969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (a a))) REDUCED to normal form. ------ 71679/5892996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.b))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(a a))) REDUCED to normal form. ------ 71680/5893050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71681/5893077. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 71682/5893104. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 71683/5893131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 71684/5893158. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 71685/5893194. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 71686/5893221. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 71687/5893248. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a b))(^y.a)) 8. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 71688/5893275. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 71689/5893302. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 9. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 10. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 71690/5893356. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.b))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.b))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.b))) REDUCED to normal form. ------ 71691/5893383. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 71692/5893410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a) b)) REDUCED to normal form. ------ 71693/5893437. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> ((a (b a))((^y.y) c)) 4. ==[ alpha ]==> ((a (b a))((^x.x) c)) 5. ==[ beta ]==> ((a (b a)) c) REDUCED to normal form. ------ 71694/5893527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71695/5893671. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (a (a a)))) REDUCED to normal form. ------ 71696/5893716. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.a))) 3. ==[ beta ]==> ((b a)(b (^y.a))) 4. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 71697/5893743. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 71698/5893797. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 71699/5893878. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71700/5893986. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 71701/5894085. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 71702/5894112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 71703/5894274. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 71704/5894283. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71705/5894364. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 71706/5894445. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71707/5894562. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a (^z.z)))) REDUCED to normal form. ------ 71708/5894589. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 71709/5894607. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 71710/5894661. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 71711/5894697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(c c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c c)) 5. ==[ beta ]==> ((^y.b)(c c)) 6. ==[ alpha ]==> ((^x.b)(c c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71712/5894742. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 71713/5894805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (a (^z.z)))) REDUCED to normal form. ------ 71714/5894850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71715/5894859. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (a (a a)))) REDUCED to normal form. ------ 71716/5894895. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 71717/5894922. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 71718/5894976. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 71719/5895003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 71720/5895030. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 71721/5895057. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) a)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 71722/5895084. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 71723/5895156. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71724/5895165. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 71725/5895192. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) c)) 3. ==[ beta ]==> ((a b)((^y.y) c)) 4. ==[ alpha ]==> ((a b)((^x.x) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 71726/5895201. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.a))) 3. ==[ beta ]==> ((^y.y)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 71727/5895228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71728/5895363. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 71729/5901135. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71730/5901423. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((b a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71731/5901687. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 71732/5901738. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(a (^z.z)))) 3. ==[ eta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 71733/5902002. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71734/5902233. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71735/5902596. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 71736/5902791. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(a b))) 3. ==[ beta ]==> ((((a (a a))(a b))((a (a a))(a b)))((a (a a))(a b))) REDUCED to normal form. ------ 71737/5903124. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 71738/5903937. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71739/5904864. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 71740/5905809. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 71741/5905980. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((x x) x))) REDUCED to normal form. ------ 71742/5906259. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 71743/5906637. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 71744/5906646. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 71745/5906754. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 71746/5906769. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71747/5907084. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71748/5907087. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 71749/5907096. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 71750/5907258. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71751/5907378. ------ 1. ==[ start ]==> ((a (^a.a))((b a) c)) 2. ==[ alpha ]==> ((a (^x.x))((b a) c)) REDUCED to normal form. ------ 71752/5907441. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 71753/5907468. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 71754/5907522. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 71755/5907603. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 71756/5907639. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 71757/5907666. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 71758/5907693. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 71759/5907882. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 71760/5907909. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 71761/5907936. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 71762/5907954. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 71763/5907972. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1))((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 71764/5907999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 71765/5908035. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 71766/5908053. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 71767/5908062. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 71768/5908080. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 71769/5908089. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 71770/5908116. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 71771/5908143. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71772/5908161. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 71773/5908170. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 71774/5908188. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 71775/5908278. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 71776/5908323. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71777/5908413. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 71778/5908440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 71779/5908467. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 71780/5908494. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 71781/5908548. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 71782/5908611. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 71783/5908638. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 71784/5908665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (a a)))) 5. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 71785/5908692. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 71786/5908719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 71787/5908746. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 71788/5908917. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 71789/5908944. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 71790/5908953. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 71791/5909007. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 71792/5909034. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71793/5909061. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 71794/5909079. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 71795/5909250. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71796/5909430. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 71797/5909457. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) c)) 3. ==[ beta ]==> ((a b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 71798/5909628. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 71799/5909817. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 71800/5909862. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71801/5909889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71802/5909943. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 7. ==[ beta ]==> (((^y.y)(a a)) b) 8. ==[ alpha ]==> (((^x.x)(a a)) b) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 71803/5910033. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 71804/5910087. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 71805/5910114. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 71806/5910240. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a) d)) 3. ==[ beta ]==> (b ((^z.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71807/5910312. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 71808/5910339. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a b))) REDUCED to normal form. ------ 71809/5910366. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 71810/5910465. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71811/5910564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 71812/5910708. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 71813/5910735. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 71814/5910762. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 71815/5910816. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a a))) REDUCED to normal form. ------ 71816/5910861. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 71817/5911005. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.b))) REDUCED to normal form. ------ 71818/5911455. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71819/5911626. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 71820/5911644. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 8. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 71821/5911653. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 71822/5911707. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 71823/5911725. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 71824/5911734. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 71825/5911761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 71826/5911905. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(b (^y.y))) 8. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 71827/5911932. ------ 1. ==[ start ]==> (((a (a a))(a b))(a ((a a) a))) REDUCED to normal form. ------ 71828/5911959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 71829/5911986. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 71830/5912013. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 71831/5912040. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 71832/5912067. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 71833/5912112. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71834/5912130. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71835/5912211. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 71836/5912292. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> (b (((^x1.x1) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 71837/5912400. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71838/5912427. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 71839/5912508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.y))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 71840/5912517. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 71841/5912544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 71842/5912589. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 71843/5912598. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 71844/5912625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 71845/5912652. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 71846/5912706. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 x1))) REDUCED to normal form. ------ 71847/5912724. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 71848/5912742. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 71849/5912769. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 71850/5912796. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 71851/5912850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c b)) 3. ==[ beta ]==> (((^y.y)(a b))(c b)) 4. ==[ alpha ]==> (((^x.x)(a b))(c b)) 5. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 71852/5912877. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b c)) REDUCED to normal form. ------ 71853/5912958. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 71854/5913003. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71855/5913012. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(a a))) REDUCED to normal form. ------ 71856/5913039. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 71857/5913048. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 71858/5913075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 71859/5913210. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 71860/5913317. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 71861/5913318. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 71862/5913915. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71863/5915598. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.((a a)(^x1.x1)))(^z.((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((^y.((a a)(^z.z)))(^x1.((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 71864/5918676. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71865/5919273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71866/5919279. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71867/5919333. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 71868/5919531. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 71869/5919552. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 71870/5919774. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 71871/5919873. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (^y.y))) 3. ==[ beta ]==> ((a (^y.y))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 71872/5919876. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 71873/5920173. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 71874/5920749. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(b a))) 5. ==[ beta ]==> (a (^z.(b a))) 6. ==[ alpha ]==> (a (^x.(b a))) REDUCED to normal form. ------ 71875/5921037. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z a))) REDUCED to normal form. ------ 71876/5921169. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 71877/5921556. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(((a a)((a a)(^z.z)))((a a)((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.(((a a)((a a)(^y.y)))((a a)((a a)(^z.z))))) REDUCED to normal form. ------ 71878/5921559. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 71879/5921763. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(a b))((^z.a)(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(a b))((^z.a)(a b)))) 5. ==[ beta ]==> (((^y.a)(a b))((^z.a)(a b))) 6. ==[ alpha ]==> (((^x.a)(a b))((^y.a)(a b))) 7. ==[ beta ]==> (a ((^y.a)(a b))) 8. ==[ alpha ]==> (a ((^x.a)(a b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 71880/5922072. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 11. ==[ beta ]==> (^y.((y y)(^z.z))) 12. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 71881/5922438. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(z z))((^x1.x1)(^y1.y1)))((^z.(z z))((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))(^y2.y2)) 8. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 9. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(^x2.x2)) 10. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1))))(^z1.z1)) 11. ==[ beta ]==> (((^y.y)((^z.(z z))((^x1.x1)(^y1.y1))))(^z1.z1)) 12. ==[ alpha ]==> (((^x.x)((^y.(y y))((^z.z)(^x1.x1))))(^y1.y1)) 13. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))(^y1.y1)) 14. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.x1)) 15. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.x1)) 16. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 17. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 18. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 19. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 20. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 21. ==[ beta ]==> ((^y.y)(^z.z)) 22. ==[ alpha ]==> ((^x.x)(^y.y)) 23. ==[ beta ]==> (^y.y) 24. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71882/5922954. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 71883/5923143. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (^y.y))) a) 4. ==[ beta ]==> (((a a)(a (^y.y))) a) 5. ==[ alpha ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 71884/5923194. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 71885/5923674. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 71886/5923845. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.a))) REDUCED to normal form. ------ 71887/5924031. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71888/5924511. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 71889/5924634. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71890/5924637. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 71891/5924736. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 71892/5924817. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 71893/5924949. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 71894/5924961. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 71895/5925123. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 71896/5925231. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71897/5925243. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 71898/5925261. ------ 1. ==[ start ]==> (((^a.a) a)((b a) c)) 2. ==[ alpha ]==> (((^x.x) a)((b a) c)) 3. ==[ beta ]==> (a ((b a) c)) REDUCED to normal form. ------ 71899/5925297. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 71900/5925351. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 71901/5925495. ------ 1. ==[ start ]==> ((a (^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 71902/5925513. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 71903/5925531. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 71904/5925576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.a)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.a)((b a)(a (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 71905/5925603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 71906/5925612. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 71907/5925657. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((a b)(^y.y))) 8. ==[ alpha ]==> (a ((a b)(^x.x))) REDUCED to normal form. ------ 71908/5925684. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 71909/5925738. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 71910/5925810. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 71911/5925837. ------ 1. ==[ start ]==> ((a (a (a a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 71912/5925909. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 71913/5925936. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 71914/5925963. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 71915/5925990. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.a))) REDUCED to normal form. ------ 71916/5926017. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 71917/5926044. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 71918/5926080. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 71919/5926107. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 71920/5926134. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 71921/5926152. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 71922/5926161. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 71923/5926413. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (b a))) REDUCED to normal form. ------ 71924/5926449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 71925/5926656. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 71926/5926710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(b a))) 5. ==[ beta ]==> (a ((a a)(b a))) REDUCED to normal form. ------ 71927/5926746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y) b)((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(^y.y))) 5. ==[ beta ]==> (b ((b a)(^y.y))) 6. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 71928/5926773. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 71929/5926827. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 71930/5926854. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 71931/5926881. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 71932/5926908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71933/5926935. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 71934/5926971. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 71935/5926998. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 71936/5927079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 71937/5927106. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 71938/5927133. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 71939/5927304. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 71940/5927313. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 71941/5927331. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 71942/5927340. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 71943/5927358. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 71944/5927412. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 10. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 71945/5927493. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 71946/5927520. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 71947/5927592. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 71948/5927619. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 71949/5927673. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 71950/5927691. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 71951/5927700. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a b)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 71952/5927727. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 71953/5927979. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (a b))) 3. ==[ beta ]==> ((^y.y)(c (a b))) 4. ==[ alpha ]==> ((^x.x)(c (a b))) 5. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 71954/5928033. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 10. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 11. ==[ beta ]==> (a ((a a)(^y.y))) 12. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 71955/5928042. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 71956/5928069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a)) b)) 7. ==[ beta ]==> (((^y.(a a)) b)((^y.(a a)) b)) 8. ==[ alpha ]==> (((^x.(a a)) b)((^y.(a a)) b)) 9. ==[ beta ]==> ((a a)((^y.(a a)) b)) 10. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 71957/5928096. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 71958/5928114. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (b (((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 71959/5928123. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 71960/5928213. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.b))) REDUCED to normal form. ------ 71961/5928240. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 71962/5928294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 71963/5928321. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 71964/5928339. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 71965/5928348. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 71966/5928375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 71967/5928402. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 71968/5928582. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y)) d)) 3. ==[ beta ]==> (((a b) c)((^y.y) d)) 4. ==[ alpha ]==> (((a b) c)((^x.x) d)) 5. ==[ beta ]==> (((a b) c) d) REDUCED to normal form. ------ 71969/5928681. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 71970/5928717. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 71971/5928735. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(a a))) REDUCED to normal form. ------ 71972/5928771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 71973/5928816. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 71974/5928915. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 71975/5928942. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 71976/5928969. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 71977/5928996. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 71978/5929023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 9. ==[ beta ]==> ((^y.(y y))(a (a a))) 10. ==[ alpha ]==> ((^x.(x x))(a (a a))) 11. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 71979/5929050. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 71980/5929077. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 71981/5929104. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 71982/5929131. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 71983/5929158. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 71984/5929248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (c (^y.y))) 8. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 71985/5929329. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 71986/5929437. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 71987/5929464. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 71988/5929500. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 71989/5929527. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 71990/5929581. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 71991/5929608. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 71992/5929635. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 71993/5929662. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 71994/5929725. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)(b a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 71995/5929752. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 71996/5929779. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 71997/5929806. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 71998/5929941. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 71999/5929986. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72000/5929995. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 72001/5930274. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72002/5930283. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b b)) REDUCED to normal form. ------ 72003/5930301. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 72004/5930310. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 72005/5930328. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 72006/5930391. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 72007/5930418. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72008/5930472. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 72009/5930499. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 72010/5930526. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 72011/5930571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72012/5930598. ------ 1. ==[ start ]==> ((a (^b.b))(a (a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 72013/5930643. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 72014/5930670. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 72015/5930697. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 72016/5930724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a a))) 5. ==[ beta ]==> ((a b)((^y.a)(a a))) 6. ==[ alpha ]==> ((a b)((^x.a)(a a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 72017/5930751. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 72018/5930778. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 72019/5930805. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 72020/5930832. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 72021/5930877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72022/5930913. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 72023/5930922. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 72024/5931084. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 72025/5931192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72026/5931200. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z))) b)) REDUCED to normal form. ------ 72027/5931201. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (a ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 72028/5936559. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72029/5937156. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72030/5937165. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b) a) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 72031/5937171. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (^y.(^z.z))) b) 4. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 72032/5937180. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72033/5937198. ------ 1. ==[ start ]==> ((^a.(a a))((b a) c)) 2. ==[ alpha ]==> ((^x.(x x))((b a) c)) 3. ==[ beta ]==> (((b a) c)((b a) c)) REDUCED to normal form. ------ 72034/5937261. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72035/5937423. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72036/5937462. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 72037/5937495. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1))) b)) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72038/5937777. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72039/5937990. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72040/5938116. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72041/5938380. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 72042/5938881. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 72043/5939217. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(b x))) 3. ==[ eta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 72044/5939448. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) REDUCED to normal form. ------ 72045/5939655. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.b))(((^z.z) a)(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.b))(((^x1.x1) a)(^y1.b)))) 5. ==[ beta ]==> ((((^y.y) a)(^z.b))(((^x1.x1) a)(^y1.b))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.b))) 7. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.b))) 8. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.b))) 9. ==[ beta ]==> ((a (^x.b))(a (^z.b))) 10. ==[ alpha ]==> ((a (^x.b))(a (^y.b))) REDUCED to normal form. ------ 72046/5939964. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72047/5939973. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 72048/5940330. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a (a a))(^z.(^x1.x1)))((a (a a))(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 72049/5940648. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a (^x.b))(^y.(y y))) REDUCED to normal form. ------ 72050/5941086. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a) b)) 3. ==[ eta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 72051/5941635. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72052/5941923. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.z1))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72053/5942313. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 72054/5942526. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72055/5942529. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 72056/5942709. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 72057/5942808. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) b)(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72058/5942841. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72059/5942880. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 72060/5943015. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72061/5943123. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72062/5943132. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 72063/5943144. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 72064/5943153. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 72065/5943171. ------ 1. ==[ start ]==> ((a (a a))((b a) c)) REDUCED to normal form. ------ 72066/5943234. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72067/5943315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72068/5943396. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 72069/5943432. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 72070/5943441. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 72071/5943468. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 72072/5943513. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 72073/5943540. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 72074/5943567. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 72075/5943594. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 72076/5943621. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 72077/5943729. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 72078/5943747. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 5. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 72079/5943774. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72080/5943855. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 72081/5943882. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72082/5943936. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 72083/5943963. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 72084/5944035. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 72085/5944062. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 72086/5944089. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) b)) 3. ==[ beta ]==> ((a (^y.y))((b a) b)) 4. ==[ alpha ]==> ((a (^x.x))((b a) b)) REDUCED to normal form. ------ 72087/5944179. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 72088/5944233. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72089/5944260. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72090/5944296. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 72091/5944323. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 72092/5944350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 72093/5944719. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72094/5944854. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 72095/5944926. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a) a)) 3. ==[ beta ]==> ((a (a (a a)))((b a) a)) REDUCED to normal form. ------ 72096/5944953. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 72097/5945043. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72098/5945124. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 72099/5945187. ------ 1. ==[ start ]==> ((((a a) a) b)(a (b a))) REDUCED to normal form. ------ 72100/5945214. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 72101/5945241. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 72102/5945295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 72103/5945322. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 72104/5945349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.a)((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.a)((a (a a))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72105/5945376. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 72106/5945394. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 72107/5945403. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 72108/5945421. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 72109/5945466. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 72110/5945493. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 72111/5945520. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 72112/5945547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (a (((a a) a)(^y.(y y)))) 8. ==[ alpha ]==> (a (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 72113/5945574. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 72114/5945601. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 72115/5945628. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a (a a))(a (^y.b))) 6. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 72116/5945637. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72117/5945664. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72118/5945718. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72119/5945799. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72120/5945880. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72121/5945889. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (a b))) REDUCED to normal form. ------ 72122/5945943. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 72123/5945970. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((((^y.y)(a a))(a a))(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(a a))) 9. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a a))) 10. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a a))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 72124/5945997. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 72125/5946024. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 72126/5946051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 72127/5946195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 72128/5946222. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 72129/5946249. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 72130/5946276. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 72131/5946303. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 72132/5946339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72133/5946474. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72134/5946555. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 72135/5946582. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72136/5946591. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (a b))) REDUCED to normal form. ------ 72137/5946618. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 72138/5946672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72139/5946699. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 72140/5946726. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 72141/5946753. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 72142/5946780. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 72143/5946843. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.y))) REDUCED to normal form. ------ 72144/5946870. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 72145/5946897. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.a)) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.a)) REDUCED to normal form. ------ 72146/5946924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.y)((a (a a))(^z.(z z)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 9. ==[ beta ]==> ((a (a a))(^y.(y y))) 10. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 72147/5946951. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 72148/5946978. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 72149/5947005. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 72150/5947032. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 72151/5947059. ------ 1. ==[ start ]==> ((a (b a))(((a a) a) b)) REDUCED to normal form. ------ 72152/5947149. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72153/5947293. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (a a)) a)) REDUCED to normal form. ------ 72154/5947338. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 72155/5947365. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 72156/5947419. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 72157/5947500. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72158/5947608. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 72159/5947626. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a)) c)) REDUCED to normal form. ------ 72160/5947761. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 72161/5947788. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))(c c)) REDUCED to normal form. ------ 72162/5947896. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 72163/5947905. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72164/5947986. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72165/5948067. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72166/5948184. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(a a))) REDUCED to normal form. ------ 72167/5948211. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 72168/5948229. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 72169/5948283. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 72170/5948364. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72171/5948472. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72172/5948481. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b a)) REDUCED to normal form. ------ 72173/5948499. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 72174/5948517. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 72175/5948544. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 72176/5948625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 72177/5948652. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 72178/5948679. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 72179/5948706. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a) a)) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 72180/5948733. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 72181/5948778. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72182/5948787. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 72183/5948814. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 72184/5948823. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72185/5948850. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.a))) 3. ==[ beta ]==> ((^y.y)(a (^z1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 72186/5948985. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 72187/5949093. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72188/5949102. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 72189/5954469. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.d)) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72190/5955075. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b) b) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 72191/5955099. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72192/5955381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72193/5955390. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 72194/5955414. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(a a))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72195/5955684. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (^y.(^z.z))))(((a a)(a (^y.(^z.z))))((a a)(a (^y.(^z.z)))))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(a (^z.(^x1.x1))))((a a)(a (^y1.(^z1.z1)))))) REDUCED to normal form. ------ 72196/5955909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72197/5956002. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 72198/5956299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 72199/5956467. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((a a) a))(((^y.y)(^z.z))((a a) a)))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a)))(((^y1.y1)(^z1.z1))((a a) a))) 5. ==[ beta ]==> ((((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a)))(((^y1.y1)(^z1.z1))((a a) a))) 6. ==[ alpha ]==> ((((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a)))(((^x1.x1)(^y1.y1))((a a) a))) 7. ==[ beta ]==> ((((a a) a)(((^y.y)(^z.z))((a a) a)))(((^x1.x1)(^y1.y1))((a a) a))) 8. ==[ alpha ]==> ((((a a) a)(((^x.x)(^y.y))((a a) a)))(((^z.z)(^x1.x1))((a a) a))) 9. ==[ beta ]==> ((((a a) a)((^y.y)((a a) a)))(((^z.z)(^x1.x1))((a a) a))) 10. ==[ alpha ]==> ((((a a) a)((^x.x)((a a) a)))(((^y.y)(^z.z))((a a) a))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((a a) a))) 12. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((a a) a))) 13. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((a a) a))) 14. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((a a) a))) 15. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 72200/5956596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 72201/5956800. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 72202/5957388. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 72203/5957892. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 72204/5958567. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 72205/5959350. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 72206/5959512. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 72207/5959554. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72208/5959683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((z z) z))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((z z) z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((y y) y))) 5. ==[ beta ]==> (((a a) a)(^y.((y y) y))) 6. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 72209/5960241. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 72210/5960349. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a (a a)))) REDUCED to normal form. ------ 72211/5960448. ------ 1. ==[ start ]==> ((a (^b.b))(^c.d)) 2. ==[ alpha ]==> ((a (^x.x))(^y.d)) REDUCED to normal form. ------ 72212/5960466. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z (z z)))) REDUCED to normal form. ------ 72213/5960727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72214/5960736. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 72215/5960760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72216/5960799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.c)) 3. ==[ beta ]==> ((^y.y)(^z1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 72217/5961042. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72218/5961051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 72219/5961081. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 72220/5961090. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 72221/5961108. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 72222/5961171. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72223/5961198. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72224/5961225. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 72225/5961252. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 72226/5961342. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 72227/5961360. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72228/5961369. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 72229/5961396. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 72230/5961405. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72231/5961585. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 72232/5961612. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 72233/5961639. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 72234/5961657. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72235/5961666. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 72236/5961702. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72237/5961756. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 72238/5961783. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 72239/5961792. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 72240/5961810. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 72241/5961819. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 72242/5961864. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a)(a a))(^y.b)) 8. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 72243/5961873. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 72244/5961891. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 72245/5961981. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 72246/5962026. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72247/5962116. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 72248/5962170. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72249/5962197. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 72250/5962224. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 72251/5962278. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72252/5962314. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 72253/5962341. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 72254/5962368. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 72255/5962395. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 72256/5962422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 72257/5962449. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 72258/5962575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72259/5962620. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 72260/5962647. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 72261/5962656. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 72262/5962683. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 72263/5962701. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 72264/5962710. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 72265/5962737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72266/5962764. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 72267/5962782. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 72268/5962953. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72269/5963160. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 72270/5963187. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72271/5963331. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(a a)))) REDUCED to normal form. ------ 72272/5963367. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 72273/5963520. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72274/5963565. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72275/5963592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 72276/5963646. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 7. ==[ beta ]==> (((a a)(^y.y)) a) 8. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 72277/5963736. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 72278/5963763. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 72279/5963790. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 72280/5963817. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 72281/5963871. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 72282/5963943. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> (b ((^z.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72283/5964015. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 72284/5964042. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a ((a a) a))) REDUCED to normal form. ------ 72285/5964069. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 72286/5964096. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 72287/5964168. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72288/5964267. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 72289/5964402. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 72290/5964411. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 72291/5964438. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 72292/5964465. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 72293/5964519. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 72294/5964546. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 72295/5964564. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 72296/5964744. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(a b))) REDUCED to normal form. ------ 72297/5965158. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72298/5965329. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 72299/5965347. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 72300/5965356. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 72301/5965410. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72302/5965428. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 72303/5965437. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 72304/5965464. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 72305/5965491. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 72306/5965536. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 72307/5965635. ------ 1. ==[ start ]==> (((a (a a))(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(b (^x.x))) REDUCED to normal form. ------ 72308/5965662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a ((a a) a))) 5. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 72309/5965689. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 72310/5965716. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 72311/5965743. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)(a ((^x.x) a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 72312/5965770. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 72313/5965833. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72314/5965914. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 72315/5965995. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 72316/5966103. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72317/5966130. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 72318/5966157. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72319/5966220. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 72320/5966247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72321/5966292. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 72322/5966301. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72323/5966328. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 72324/5966355. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 72325/5966409. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 72326/5966445. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (a (a a)))) REDUCED to normal form. ------ 72327/5966472. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 72328/5966499. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 72329/5966526. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 72330/5966607. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b c)) 3. ==[ beta ]==> (((a b)(^y.y))(b c)) 4. ==[ alpha ]==> (((a b)(^x.x))(b c)) REDUCED to normal form. ------ 72331/5966706. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72332/5966715. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 72333/5966742. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(a a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 72334/5966751. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72335/5966913. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72336/5967021. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72337/5967030. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.z))) REDUCED to normal form. ------ 72338/5967047. ------ 1. ==[ start ]==> (^a.((^b.b)(^a.a))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72339/5967048. ------ 1. ==[ start ]==> (a ((^b.b)(^a.a))) 2. ==[ alpha ]==> (a ((^x.x)(^y.y))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 72340/5973012. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b) c) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b) c) REDUCED to normal form. ------ 72341/5973036. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72342/5973063. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72343/5973171. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^z.b)(^x1.a))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72344/5973288. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (b a))) 3. ==[ beta ]==> (^y.(c (b a))) 4. ==[ alpha ]==> (^x.(c (b a))) REDUCED to normal form. ------ 72345/5973336. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 72346/5973531. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 72347/5973630. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b (^y.(^z.(^x1.x1))))((b (^y.(^z.(^x1.x1))))(b (^y.(^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))((b (^x1.(^y1.(^z1.z1))))(b (^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 72348/5973948. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 72349/5973957. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 72350/5973981. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72351/5974821. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(y a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y a))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x a))) REDUCED to normal form. ------ 72352/5974926. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^z.(z z))) b) 4. ==[ alpha ]==> (((^x.b)(^y.(y y))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72353/5975100. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(b z))) 3. ==[ eta ]==> (((^x.b)(^y.y)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72354/5975313. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(((a (^z.z))((^x1.x1)(a a)))((a (^z.z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.(((a (^y.y))(a a))((a (^x1.x1))((^y1.y1)(a a))))) 6. ==[ alpha ]==> (^x.(((a (^y.y))(a a))((a (^z.z))((^x1.x1)(a a))))) 7. ==[ beta ]==> (^x.(((a (^y.y))(a a))((a (^z.z))(a a)))) REDUCED to normal form. ------ 72355/5975520. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))((a a) a))((^z.(z z))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))((a a) a))((^z.(z z))((a a) a)))) 5. ==[ beta ]==> (((^y.(y y))((a a) a))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 72356/5976195. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a (a a)))((^z.(^x1.x1))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72357/5976531. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 72358/5976738. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 72359/5976927. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(a y))) 3. ==[ eta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 72360/5976951. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(^z.z))) 3. ==[ eta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72361/5977125. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 72362/5977629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 72363/5978070. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72364/5978391. ------ 1. ==[ start ]==> ((^a.(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72365/5978412. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 72366/5978520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 72367/5978601. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 72368/5978673. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72369/5978682. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.a))) REDUCED to normal form. ------ 72370/5978706. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72371/5978880. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 72372/5978988. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72373/5978997. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 72374/5979027. ------ 1. ==[ start ]==> ((a a)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72375/5979045. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (a ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (a ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 72376/5979054. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 72377/5979072. ------ 1. ==[ start ]==> (((a a) a)((b a) c)) REDUCED to normal form. ------ 72378/5979135. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 72379/5979162. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 72380/5979279. ------ 1. ==[ start ]==> ((a (^b.a))(c (b a))) 2. ==[ alpha ]==> ((a (^x.a))(c (b a))) REDUCED to normal form. ------ 72381/5979297. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 72382/5979324. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 72383/5979360. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72384/5979387. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 72385/5979441. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a (a a)))) 7. ==[ beta ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 72386/5979468. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 72387/5979522. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 72388/5979621. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72389/5979630. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a (^y.(^z.z))))((a a)(a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 72390/5979693. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 72391/5979720. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 72392/5979747. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 72393/5979774. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 72394/5979828. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 72395/5979864. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 72396/5979891. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 72397/5979918. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 72398/5979936. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72399/5979945. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 72400/5979972. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 72401/5980440. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 72402/5980494. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 72403/5980557. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.x))) REDUCED to normal form. ------ 72404/5980611. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 72405/5980638. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 72406/5980665. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 72407/5980719. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 72408/5980755. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 72409/5980782. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 72410/5980809. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(b a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(b a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(b a))) 5. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 72411/5980890. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 72412/5980917. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 72413/5981088. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 72414/5981115. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 72415/5981124. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 72416/5981142. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 72417/5981196. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 72418/5981277. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 72419/5981304. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 72420/5981322. ------ 1. ==[ start ]==> (((a a)(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 72421/5981403. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 72422/5981430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z) a))) 7. ==[ beta ]==> (a ((^y.b)((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.b)((^y.y) a))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 72423/5981475. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72424/5981484. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 72425/5981511. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 72426/5981817. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 10. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 11. ==[ beta ]==> (b ((^y.y)(a a))) 12. ==[ alpha ]==> (b ((^x.x)(a a))) 13. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72427/5981880. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 72428/5981898. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (b ((a b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 72429/5981907. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 72430/5982051. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 72431/5982105. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a a))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 72432/5982123. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 72433/5982132. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 72434/5982186. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 72435/5982366. ------ 1. ==[ start ]==> (((a b) c)(((a a) a) c)) REDUCED to normal form. ------ 72436/5982519. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 72437/5982555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72438/5982600. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72439/5982699. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.b))) REDUCED to normal form. ------ 72440/5982726. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(a a)))) REDUCED to normal form. ------ 72441/5982753. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)(a a))) 3. ==[ beta ]==> ((a (a b))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(a a))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 72442/5982807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72443/5982834. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 72444/5982861. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 72445/5982888. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 72446/5982915. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a b)) REDUCED to normal form. ------ 72447/5982942. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 72448/5983113. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 72449/5983176. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 72450/5983221. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 72451/5983248. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 72452/5983311. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 72453/5983365. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 72454/5983392. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(y y)))) REDUCED to normal form. ------ 72455/5983419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 72456/5983509. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 72457/5983536. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 72458/5983563. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 72459/5983590. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 72460/5983869. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c d)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c d)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c d)) 5. ==[ beta ]==> ((a a)(c d)) REDUCED to normal form. ------ 72461/5984058. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72462/5984067. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 72463/5984085. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 72464/5984094. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 72465/5984112. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 72466/5984166. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 72467/5984202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.z))) 5. ==[ beta ]==> ((^y.b)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72468/5984247. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 72469/5984256. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 72470/5984283. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 72471/5984310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a)) a)) REDUCED to normal form. ------ 72472/5984382. ------ 1. ==[ start ]==> ((a (^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 72473/5984400. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 72474/5984481. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 72475/5984508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(y y)))) 5. ==[ beta ]==> ((a b)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 72476/5984535. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 72477/5984562. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 72478/5984589. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 72479/5984616. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 72480/5984661. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72481/5984670. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.a)) REDUCED to normal form. ------ 72482/5984697. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.y))) 3. ==[ beta ]==> ((a b)(c (^y.y))) 4. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 72483/5984706. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 72484/5984733. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 72485/5984868. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 72486/5984976. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72487/5984985. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 72488/5985011. ------ 1. ==[ start ]==> (^a.(((^a.a) b) a)) 2. ==[ alpha ]==> (^x.(((^y.y) b) x)) 3. ==[ eta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72489/5985012. ------ 1. ==[ start ]==> (a (((^a.a) b) a)) 2. ==[ alpha ]==> (a (((^x.x) b) a)) 3. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 72490/5991003. ------ 1. ==[ start ]==> ((((^a.a) b) a) a) 2. ==[ alpha ]==> ((((^x.x) b) a) a) 3. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 72491/5991009. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 3. ==[ beta ]==> (((^y.y) b) a) 4. ==[ alpha ]==> (((^x.x) b) a) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72492/5991018. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72493/5991036. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (^y.(^z.z))) b)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 72494/5991063. ------ 1. ==[ start ]==> ((^a.b)((b a) c)) 2. ==[ alpha ]==> ((^x.b)((b a) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 72495/5991333. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z) a)) 3. ==[ eta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72496/5991642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72497/5991828. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72498/5991954. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72499/5992515. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(b a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(b a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(b a))) 5. ==[ beta ]==> (b (^y.(b a))) 6. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 72500/5992719. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 72501/5993082. ------ 1. ==[ start ]==> (((a b) a)(^a.(b a))) 2. ==[ alpha ]==> (((a b) a)(^x.(b x))) 3. ==[ eta ]==> (((a b) a) b) REDUCED to normal form. ------ 72502/5993286. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.(a a)))) 3. ==[ beta ]==> (^y.((c (^z.(a a)))(c (^z.(a a))))) 4. ==[ alpha ]==> (^x.((c (^y.(a a)))(c (^z.(a a))))) REDUCED to normal form. ------ 72503/5993586. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (^y.((a a)(^z.z))) 8. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 72504/5993838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(^z.z)))) 7. ==[ beta ]==> ((^y.((y y)(^z.z)))(^y.((y y)(^z.z)))) 8. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1)))) 9. ==[ beta ]==> (((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y)) 10. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1)) 11. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1)) 12. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1)) 13. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1)) 14. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2)) 15. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2)) 16. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 17. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2)) 18. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 19. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2)) 20. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 21. ==[ beta ]==> (((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3)) 22. ==[ alpha ]==> (((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3)) 23. ==[ beta ]==> ((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3)) 24. ==[ alpha ]==> ((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3)) 25. ==[ beta ]==> (((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3)) 26. ==[ alpha ]==> (((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4)) 27. ==[ beta ]==> ((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4)) 28. ==[ alpha ]==> ((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4)) 29. ==[ beta ]==> (((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4)) 30. ==[ alpha ]==> (((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4)) 31. ==[ beta ]==> ((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4)) 32. ==[ alpha ]==> ((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5)) 33. ==[ beta ]==> (((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5)) 34. ==[ alpha ]==> (((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5)) 35. ==[ beta ]==> ((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5)) UNREDUCED: maximal number of reductions reached. ------ 72505/5994168. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.(y1 y1)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1))))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1))))(^y1.y1)) 9. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))(^y1.y1)) 10. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))(^x2.x2)) IRREDUCIBLE: cycle. ------ 72506/5994504. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 72507/5994924. ------ 1. ==[ start ]==> ((^a.(b a))((a b) a)) 2. ==[ alpha ]==> ((^x.(b x))((a b) a)) 3. ==[ eta ]==> (b ((a b) a)) REDUCED to normal form. ------ 72508/5995098. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 72509/5995269. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 72510/5995287. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.b))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 72511/5996043. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72512/5996052. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 72513/5996160. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 72514/5996364. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72515/5996679. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72516/5996853. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 72517/5996961. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72518/5996970. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(z z))) REDUCED to normal form. ------ 72519/5996997. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.y)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 72520/5997009. ------ 1. ==[ start ]==> ((a a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 3. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 72521/5997018. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 72522/5997036. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 72523/5997045. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72524/5997063. ------ 1. ==[ start ]==> ((a b)((b a) c)) REDUCED to normal form. ------ 72525/5997153. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72526/5997207. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 72527/5997297. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 72528/5997333. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 72529/5997378. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(a (^y.y)))) REDUCED to normal form. ------ 72530/5997405. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 72531/5997432. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 72532/5997459. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 72533/5997486. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 72534/5997594. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(b a))) 3. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 72535/5997612. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b (^y.(^z.(^x1.x1))))(b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 72536/5997639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 72537/5997747. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72538/5997828. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72539/5997846. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 72540/5997927. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72541/5997954. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 72542/5997963. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72543/5998044. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72544/5998125. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72545/5998179. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 72546/5998215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 5. ==[ beta ]==> ((^y.y)(b (b a))) 6. ==[ alpha ]==> ((^x.x)(b (b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 72547/5998251. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 72548/5998476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (a (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (c (^x.(^y.y)))) REDUCED to normal form. ------ 72549/5998512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(b a))) 3. ==[ beta ]==> (((^y.y) b)((a a)(b a))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(b a))) 5. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 72550/5998638. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.b)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 72551/5998719. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.b))((a b)(a b))) REDUCED to normal form. ------ 72552/5998737. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 72553/5998818. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a) a)) 3. ==[ beta ]==> (((a (a a)) a)((b a) a)) REDUCED to normal form. ------ 72554/5998845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 72555/5998908. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72556/5998989. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.b))) IRREDUCIBLE: cycle. ------ 72557/5999052. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 72558/5999079. ------ 1. ==[ start ]==> (((a b) a)(a (b a))) REDUCED to normal form. ------ 72559/5999106. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 72560/5999160. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 72561/5999187. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 72562/5999214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72563/5999241. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 72564/5999268. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a b))) REDUCED to normal form. ------ 72565/5999286. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(a a)))) REDUCED to normal form. ------ 72566/5999358. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 72567/5999385. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 72568/5999412. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 7. ==[ beta ]==> (a ((a b)(^y.a))) 8. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 72569/5999439. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 72570/5999466. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 72571/5999502. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72572/5999529. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72573/5999583. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72574/5999664. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72575/5999718. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72576/5999745. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 72577/5999799. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72578/5999808. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 72579/5999835. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))(a ((a a)(^y.y)))) 7. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 72580/5999862. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 72581/5999889. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 72582/5999916. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 72583/6000087. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 72584/6000114. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 72585/6000141. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 72586/6000168. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 72587/6000204. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72588/6000339. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72589/6000420. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 72590/6000447. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72591/6000456. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 72592/6000483. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (a b))) 3. ==[ beta ]==> ((a (^y.b))(b (a b))) 4. ==[ alpha ]==> ((a (^x.b))(b (a b))) REDUCED to normal form. ------ 72593/6000501. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 72594/6000537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72595/6000564. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 72596/6000591. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 72597/6000618. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 72598/6000645. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 72599/6000735. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(^y.y))) 3. ==[ beta ]==> ((a (a b))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a b)(^x.x))) REDUCED to normal form. ------ 72600/6000762. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 72601/6000789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 11. ==[ beta ]==> ((^y.y)(^z.a)) 12. ==[ alpha ]==> ((^x.x)(^y.a)) 13. ==[ beta ]==> (^y.a) 14. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 72602/6000816. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 72603/6000843. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 72604/6000897. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.b))) REDUCED to normal form. ------ 72605/6000924. ------ 1. ==[ start ]==> ((a (b a))((a b) a)) REDUCED to normal form. ------ 72606/6001014. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 72607/6001095. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 72608/6001158. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 72609/6001266. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 72610/6001284. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.b))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.b))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.b))) REDUCED to normal form. ------ 72611/6001365. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72612/6001491. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a a)(b a))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(b a))((^x.x) b)) 5. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 72613/6001653. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 72614/6001752. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72615/6001851. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 72616/6001932. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72617/6002040. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72618/6002049. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 72619/6002076. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(a a))) REDUCED to normal form. ------ 72620/6002148. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 72621/6002157. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 72622/6002229. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72623/6002238. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 72624/6002337. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72625/6002364. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 72626/6002409. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 72627/6002436. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 72628/6002517. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 72629/6002544. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 72630/6002571. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 72631/6002598. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 72632/6002643. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72633/6002679. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) a)) 3. ==[ beta ]==> ((a b)((^y.a) a)) 4. ==[ alpha ]==> ((a b)((^x.a) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 72634/6002688. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.z))) 3. ==[ beta ]==> ((^y.y)(c (^z.z))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 72635/6002715. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72636/6002850. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72637/6002958. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72638/6002967. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (a a))) REDUCED to normal form. ------ 72639/6002994. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(a a)) 3. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 72640/6003330. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.x1) b))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 72641/6008676. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.((^y.y) b))(^x1.x1)) 4. ==[ alpha ]==> ((^x.((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72642/6008994. ------ 1. ==[ start ]==> ((((^a.a) b) a) b) 2. ==[ alpha ]==> ((((^x.x) b) a) b) 3. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 72643/6009018. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72644/6009333. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((^z.z) b))) 3. ==[ eta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 72645/6009336. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 72646/6009603. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a (^y.y))(b a))(((a (^y.y))(b a))((a (^y.y))(b a)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(((a (^y.y))(b a))((a (^z.z))(b a)))) REDUCED to normal form. ------ 72647/6009828. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72648/6010254. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 72649/6010386. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((((a a) a)((^y.y)(^z.z)))(((a a) a)((^y.y)(^z.z))))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1))))(((a a) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1))))(((a a) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z))))(((a a) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((((a a) a)(^x.x))(((a a) a)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(((a a) a)(^x1.x1))) 10. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 72650/6010542. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 72651/6010719. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 72652/6011586. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72653/6011838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72654/6013296. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 72655/6013473. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72656/6013629. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 72657/6013761. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^x1.x1)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 72658/6014052. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 72659/6014187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72660/6014295. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a (a a)))) REDUCED to normal form. ------ 72661/6014364. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72662/6014412. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y (y y)))) REDUCED to normal form. ------ 72663/6014493. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 72664/6014679. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72665/6014682. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((^x.x) b))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 72666/6014853. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 72667/6014970. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 72668/6014997. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 72669/6015011. ------ 1. ==[ start ]==> (^a.(^b.((^a.a) b))) 2. ==[ alpha ]==> (^x.(^y.((^z.z) y))) 3. ==[ eta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72670/6015012. ------ 1. ==[ start ]==> (a (^b.((^a.a) b))) 2. ==[ alpha ]==> (a (^x.((^y.y) x))) 3. ==[ eta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 72671/6015027. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 72672/6015036. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 72673/6015054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 72674/6015063. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 72675/6015081. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((b a) c)) 3. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 72676/6015117. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72677/6015144. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72678/6015171. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 72679/6015225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72680/6015306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72681/6015315. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 72682/6015342. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.y) b))) 3. ==[ beta ]==> ((a a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 72683/6015351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((^y.a)((^z.z) a)) 4. ==[ alpha ]==> ((^x.a)((^y.y) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72684/6015378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72685/6015531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 72686/6015558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 72687/6015585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 72688/6015612. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 72689/6015684. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 72690/6015702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 72691/6015729. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 72692/6015756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 72693/6015765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 72694/6015792. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 72695/6015837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 72696/6015927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 72697/6015972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72698/6015999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 72699/6016062. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 72700/6016089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 72701/6016116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 72702/6016143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 72703/6016170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 72704/6016197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 72705/6016260. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 72706/6016287. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 72707/6016314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 72708/6016341. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 72709/6016368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(a (a a)))) 5. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 72710/6016395. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 72711/6016548. ------ 1. ==[ start ]==> ((((a a) a) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 72712/6016566. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.y))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 72713/6016593. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 72714/6016602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 72715/6016629. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 72716/6016647. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a b)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 72717/6016656. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 72718/6016710. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 72719/6016728. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 72720/6016899. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72721/6017061. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 72722/6017313. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 72723/6017340. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 72724/6017466. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72725/6017511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72726/6017538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 72727/6017592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 72728/6017673. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 72729/6017682. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 72730/6017736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 72731/6017763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 72732/6017817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72733/6017889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (b ((^z.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72734/6017961. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 72735/6017988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.y))) REDUCED to normal form. ------ 72736/6018015. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 72737/6018042. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 72738/6018069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 72739/6018114. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72740/6018213. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 72741/6018348. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 72742/6018357. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 72743/6018384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 72744/6018411. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 72745/6018465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 72746/6018492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 72747/6018591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72748/6018690. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 72749/6018717. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a b))) REDUCED to normal form. ------ 72750/6019275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 72751/6019302. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.b))) REDUCED to normal form. ------ 72752/6019356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72753/6019374. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 72754/6019383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 72755/6019410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 72756/6019437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 72757/6019482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 72758/6019581. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (a (a a)))) REDUCED to normal form. ------ 72759/6019608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(b (^y.y))) 8. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 72760/6019635. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a ((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a ((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 72761/6019662. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 72762/6019689. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 72763/6019716. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 72764/6019761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72765/6019770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 72766/6019860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 72767/6019941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72768/6020058. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 72769/6020076. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 72770/6020103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72771/6020166. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 72772/6020193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72773/6020238. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 72774/6020247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 72775/6020274. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 72776/6020301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 72777/6020346. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72778/6020355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 72779/6020373. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 72780/6020391. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 72781/6020418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (a (a a)))) REDUCED to normal form. ------ 72782/6020445. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 72783/6020472. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 72784/6020499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 72785/6020553. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c b)) 3. ==[ beta ]==> (((a b)(^y.y))(c b)) 4. ==[ alpha ]==> (((a b)(^x.x))(c b)) REDUCED to normal form. ------ 72786/6020580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b c)) 3. ==[ beta ]==> (((a a)(a (a a)))(b c)) REDUCED to normal form. ------ 72787/6020652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72788/6020661. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (a (^z.z)))) REDUCED to normal form. ------ 72789/6020688. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) a))) 3. ==[ beta ]==> ((a b)(a ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 72790/6020697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 72791/6020724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72792/6020859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 72793/6020967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72794/6020976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 72795/6021003. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.y))) 3. ==[ beta ]==> ((b a)(a (^y.y))) 4. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 72796/6021020. ------ 1. ==[ start ]==> (^a.((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (^x.((^y.y)((^z.z) b))) 3. ==[ beta ]==> (^x.((^z.z) b)) 4. ==[ alpha ]==> (^x.((^y.y) b)) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 72797/6021021. ------ 1. ==[ start ]==> (a ((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (a ((^x.x)((^y.y) b))) 3. ==[ beta ]==> (a ((^y.y) b)) 4. ==[ alpha ]==> (a ((^x.x) b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 72798/6021024. ------ 1. ==[ start ]==> ((^a.a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.x)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72799/6021348. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(^x1.x1))) 3. ==[ eta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72800/6021969. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72801/6024939. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a y))) 3. ==[ eta ]==> (b (^y.(a y))) 4. ==[ alpha ]==> (b (^x.(a x))) 5. ==[ eta ]==> (b a) REDUCED to normal form. ------ 72802/6026694. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72803/6027012. ------ 1. ==[ start ]==> ((((^a.a) b) a) c) 2. ==[ alpha ]==> ((((^x.x) b) a) c) 3. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 72804/6027030. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b)) a) 2. ==[ alpha ]==> (((^x.x)((^y.y) b)) a) 3. ==[ beta ]==> (((^y.y) b) a) 4. ==[ alpha ]==> (((^x.x) b) a) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 72805/6027036. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 72806/6027039. ------ 1. ==[ start ]==> ((a a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a a)(^x.((^y.y) x))) 3. ==[ eta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72807/6027063. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72808/6027090. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 72809/6027171. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.(a a))(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a a)(^x1.x1)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72810/6027360. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.x1))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72811/6027363. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 72812/6027372. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72813/6027531. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 72814/6027669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 72815/6027981. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72816/6027984. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 72817/6028281. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 72818/6028848. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(y a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(y a))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(x a))) REDUCED to normal form. ------ 72819/6028926. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^z.a)) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 72820/6029127. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(b y))) 3. ==[ eta ]==> (((^x.x)(a b)) b) 4. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 72821/6029313. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.((((^z.z) a)(a b))(((^z.z) a)(a b)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(a b))(((^z.z) a)(a b)))) 5. ==[ beta ]==> (^x.((a (a b))(((^z.z) a)(a b)))) 6. ==[ alpha ]==> (^x.((a (a b))(((^y.y) a)(a b)))) 7. ==[ beta ]==> (^x.((a (a b))(a (a b)))) REDUCED to normal form. ------ 72822/6029520. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72823/6030765. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 72824/6030951. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(a b))) 3. ==[ eta ]==> (b ((^y.y)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 72825/6030954. ------ 1. ==[ start ]==> ((a (b a))(^b.(a b))) 2. ==[ alpha ]==> ((a (b a))(^x.(a x))) 3. ==[ eta ]==> ((a (b a)) a) REDUCED to normal form. ------ 72826/6031314. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 72827/6031656. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 72828/6031788. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 72829/6032097. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 72830/6032322. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 72831/6032391. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72832/6032439. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 72833/6032547. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 72834/6032628. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 72835/6032706. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72836/6032709. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 72837/6032718. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72838/6032880. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 72839/6032988. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72840/6032997. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 72841/6033024. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.a)) 3. ==[ beta ]==> ((b a)(^y.a)) 4. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 72842/6033042. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.z)) 3. ==[ beta ]==> (((^y.y) b)(^z.z)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 72843/6033054. ------ 1. ==[ start ]==> ((a a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a a)((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((a a)((^y.y) b)) 4. ==[ alpha ]==> ((a a)((^x.x) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 72844/6033072. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) a)) 3. ==[ beta ]==> (a (((^y.y) b) a)) 4. ==[ alpha ]==> (a (((^x.x) b) a)) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 72845/6033081. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 72846/6033099. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 72847/6033108. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 72848/6033126. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((b a) c)) REDUCED to normal form. ------ 72849/6033189. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 72850/6033351. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 72851/6033378. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72852/6033387. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.a)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.a)(a ((^y.y) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72853/6033414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72854/6033423. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 72855/6033468. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (a (((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 72856/6033477. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 72857/6033495. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 72858/6033549. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 72859/6033657. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(b a))) 5. ==[ beta ]==> (((a (^y.y))(b a))((a (^y.y))(b a))) 6. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(b a))) REDUCED to normal form. ------ 72860/6033684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 72861/6033720. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 72862/6033747. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 72863/6033774. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 72864/6033801. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(z z)))) REDUCED to normal form. ------ 72865/6033828. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 72866/6033891. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 72867/6033918. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a (^x.x)) a)((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 72868/6033945. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 72869/6033972. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 72870/6033999. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 72871/6034296. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 72872/6034467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 72873/6034521. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a (((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (a (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (a (a ((^x.x)(a a)))) 9. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 72874/6034638. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 72875/6034665. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 72876/6034692. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 72877/6034719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72878/6034782. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a)((a a) a))((a b)(a b))) REDUCED to normal form. ------ 72879/6034809. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 72880/6034836. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 72881/6034863. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 72882/6034935. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a)) c)) 3. ==[ beta ]==> (b (((^y.y)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 72883/6034944. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 72884/6035115. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (b (b ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 72885/6035142. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (b a))) 3. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 72886/6035169. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 72887/6035205. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72888/6035223. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a b) a)) REDUCED to normal form. ------ 72889/6035304. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 72890/6035331. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a b))) REDUCED to normal form. ------ 72891/6035349. ------ 1. ==[ start ]==> (((a a)(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(a a)))) REDUCED to normal form. ------ 72892/6035376. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 72893/6035457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.(a a))(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.(a a))(a (^y.y)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 72894/6035484. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 72895/6035502. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 72896/6035511. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 72897/6035538. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 72898/6035718. ------ 1. ==[ start ]==> (((a b) b)((a b) c)) REDUCED to normal form. ------ 72899/6035907. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 72900/6035925. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 72901/6035934. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 72902/6035961. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b) c)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 72903/6036105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 72904/6036150. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 72905/6036159. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 72906/6036186. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 72907/6036393. ------ 1. ==[ start ]==> (((a b) c)((a b) b)) REDUCED to normal form. ------ 72908/6036420. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a) c)) 3. ==[ beta ]==> (((a a) b)(((a a) a) c)) REDUCED to normal form. ------ 72909/6036546. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (a b))) REDUCED to normal form. ------ 72910/6036582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72911/6036609. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 72912/6036627. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 72913/6036636. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 72914/6036753. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.b))) REDUCED to normal form. ------ 72915/6036780. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (a b))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (a b))(a (^x.(a a)))) REDUCED to normal form. ------ 72916/6036807. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 72917/6036861. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 72918/6036888. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a b) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 72919/6036915. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 72920/6036942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 72921/6036969. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(a b))) 3. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 72922/6037140. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 72923/6037203. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 72924/6037248. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((b a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 72925/6037275. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 72926/6037329. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((a a)((a a) a))) REDUCED to normal form. ------ 72927/6037392. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 72928/6037419. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 72929/6037446. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 72930/6037473. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 72931/6037536. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 72932/6037563. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 72933/6037590. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.a))) 7. ==[ beta ]==> ((a (a a))((^y.a)(^y.a))) 8. ==[ alpha ]==> ((a (a a))((^x.a)(^y.a))) 9. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 72934/6037617. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 72935/6037644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 72936/6037806. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 72937/6037815. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72938/6038085. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72939/6038112. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 72940/6038121. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 72941/6038139. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 72942/6038193. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 72943/6038283. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 72944/6038310. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 72945/6038337. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(z z)))) REDUCED to normal form. ------ 72946/6038391. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a b)) REDUCED to normal form. ------ 72947/6038409. ------ 1. ==[ start ]==> ((a (^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 72948/6038427. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 72949/6038454. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y y))) REDUCED to normal form. ------ 72950/6038535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.a))) 5. ==[ beta ]==> ((a b)(b (^y.a))) 6. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 72951/6038562. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 72952/6038589. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 72953/6038616. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 72954/6038643. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 72955/6038688. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72956/6038697. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 72957/6038724. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 72958/6038733. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 72959/6038760. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 72960/6038895. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 72961/6039003. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72962/6039012. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a) a)) REDUCED to normal form. ------ 72963/6039039. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y) a)) 3. ==[ beta ]==> ((b a)((^y.y) a)) 4. ==[ alpha ]==> ((b a)((^x.x) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 72964/6039057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a a)) 3. ==[ beta ]==> (((^y.y) b)(a a)) 4. ==[ alpha ]==> (((^x.x) b)(a a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 72965/6039065. ------ 1. ==[ start ]==> (^a.((a a)(^b.b))) 2. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 72966/6039066. ------ 1. ==[ start ]==> (a ((a a)(^b.b))) 2. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 72967/6039078. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72968/6042984. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.b))) 3. ==[ eta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 72969/6043533. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72970/6044739. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 72971/6045075. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b)) b) 2. ==[ alpha ]==> (((^x.x)((^y.y) b)) b) 3. ==[ beta ]==> (((^y.y) b) b) 4. ==[ alpha ]==> (((^x.x) b) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 72972/6045084. ------ 1. ==[ start ]==> (((a a)(^b.b)) a) 2. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 72973/6045090. ------ 1. ==[ start ]==> ((^a.a)((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 72974/6045099. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72975/6045102. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 72976/6045117. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) a)) 3. ==[ beta ]==> ((((^y.y) b) a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) b) a)) 5. ==[ beta ]==> ((b a)(((^y.y) b) a)) 6. ==[ alpha ]==> ((b a)(((^x.x) b) a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 72977/6045144. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 72978/6045342. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72979/6045426. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 72980/6045909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 72981/6046035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72982/6046047. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72983/6046641. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 72984/6046800. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 72985/6046980. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((((^y.y)(a a)) c) b) 4. ==[ alpha ]==> ((((^x.x)(a a)) c) b) 5. ==[ beta ]==> (((a a) c) b) REDUCED to normal form. ------ 72986/6047190. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(b y))) 3. ==[ eta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 72987/6047574. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72988/6047946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 72989/6048249. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((((a a) a)(^z.a))(((a a) a)(^z.a)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.a))(((a a) a)(^y.a)))(^z.z)) REDUCED to normal form. ------ 72990/6048621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 72991/6049005. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.b))) 3. ==[ eta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 72992/6049008. ------ 1. ==[ start ]==> ((a (b a))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.b))) REDUCED to normal form. ------ 72993/6049377. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 72994/6049554. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 72995/6049557. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((a a) a))) REDUCED to normal form. ------ 72996/6050016. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 72997/6050151. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 72998/6050160. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 72999/6050268. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73000/6050445. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73001/6050493. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.d)) REDUCED to normal form. ------ 73002/6050760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73003/6050763. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73004/6050772. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 73005/6051042. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73006/6051051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.b)) REDUCED to normal form. ------ 73007/6051078. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(y y))) 3. ==[ beta ]==> ((b a)(^y.(y y))) 4. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 73008/6051096. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 73009/6051105. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.a)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 73010/6051117. ------ 1. ==[ start ]==> ((a a)((a a)(^b.b))) 2. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 73011/6051126. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 73012/6051144. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b) a)) 3. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 73013/6051153. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73014/6051171. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 73015/6051180. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 73016/6051261. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73017/6051288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73018/6051342. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73019/6051369. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 73020/6051405. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (b a))) 3. ==[ beta ]==> ((^y.y)(c (b a))) 4. ==[ alpha ]==> ((^x.x)(c (b a))) 5. ==[ beta ]==> (c (b a)) REDUCED to normal form. ------ 73021/6051450. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73022/6051486. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 73023/6051513. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 73024/6051540. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 73025/6051567. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a (a a)))) REDUCED to normal form. ------ 73026/6051594. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 73027/6051702. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 73028/6051747. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73029/6051801. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73030/6051909. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 73031/6051936. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 73032/6051954. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.b)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 73033/6051981. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 73034/6052062. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73035/6052071. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73036/6052098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73037/6052206. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 73038/6052287. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 73039/6052386. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 73040/6052620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 73041/6052647. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(b a))) REDUCED to normal form. ------ 73042/6052665. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 73043/6052746. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.(a a))((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 73044/6052827. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 73045/6052845. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.b))) REDUCED to normal form. ------ 73046/6052872. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 73047/6052953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a) a)) 5. ==[ beta ]==> ((a (^y.y))((b a) a)) 6. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 73048/6052980. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 73049/6053007. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a)) c)) 3. ==[ beta ]==> ((a (a b))((a a) c)) REDUCED to normal form. ------ 73050/6053016. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73051/6053097. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) IRREDUCIBLE: cycle. ------ 73052/6053160. ------ 1. ==[ start ]==> ((((a a) a) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(c ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(c (a a))) REDUCED to normal form. ------ 73053/6053178. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73054/6053187. ------ 1. ==[ start ]==> (((a b) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 73055/6053214. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (b a))) REDUCED to normal form. ------ 73056/6053268. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 73057/6053295. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 73058/6053322. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73059/6053349. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73060/6053376. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 73061/6053493. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 73062/6053520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 10. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 73063/6053547. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 73064/6053574. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 73065/6053601. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 73066/6053610. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73067/6053637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 73068/6053691. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73069/6053772. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 73070/6053853. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73071/6053907. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 11. ==[ beta ]==> ((^y.a)(^z.b)) 12. ==[ alpha ]==> ((^x.a)(^y.b)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 73072/6053916. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 73073/6053943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((b ((^y.y)(a a)))(b ((^y.y)(a a)))) 8. ==[ alpha ]==> ((b ((^x.x)(a a)))(b ((^y.y)(a a)))) 9. ==[ beta ]==> ((b (a a))(b ((^y.y)(a a)))) 10. ==[ alpha ]==> ((b (a a))(b ((^x.x)(a a)))) 11. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 73074/6053970. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 73075/6053997. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 73076/6054024. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 73077/6054222. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 73078/6054249. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 73079/6054276. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 73080/6054312. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73081/6054447. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 73082/6054528. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 73083/6054555. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73084/6054591. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c ((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(c ((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(c ((a a) a))) REDUCED to normal form. ------ 73085/6054609. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 73086/6054645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73087/6054672. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 73088/6054699. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 73089/6054726. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 73090/6054753. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 73091/6054870. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 73092/6054897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 73093/6054924. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 73094/6054951. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 73095/6054978. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 73096/6055032. ------ 1. ==[ start ]==> ((a (b a))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.b))) REDUCED to normal form. ------ 73097/6055122. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73098/6055203. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73099/6055266. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 73100/6055374. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 73101/6055392. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.a))) REDUCED to normal form. ------ 73102/6055401. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 73103/6055473. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73104/6055581. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 73105/6055599. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a) a)) REDUCED to normal form. ------ 73106/6055626. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 73107/6055761. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 73108/6055788. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) b)) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 73109/6055860. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73110/6055878. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73111/6055959. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 73112/6056040. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73113/6056148. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73114/6056157. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (a (a a)))) REDUCED to normal form. ------ 73115/6056175. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 73116/6056184. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 73117/6056265. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 73118/6056292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.b)((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((a a)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73119/6056337. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 73120/6056445. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73121/6056472. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 73122/6056544. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y)) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 73123/6056571. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a) b)) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 73124/6056598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73125/6056652. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 73126/6056679. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 73127/6056706. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 73128/6056751. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73129/6056760. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z)) b)) REDUCED to normal form. ------ 73130/6056787. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a) c)) 3. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 73131/6056796. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 73132/6056958. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73133/6057066. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73134/6057075. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a b)) REDUCED to normal form. ------ 73135/6057102. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (a a))) 3. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 73136/6057120. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.z))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 73137/6057129. ------ 1. ==[ start ]==> (((a a)(^b.b))(a a)) 2. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 73138/6063147. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b)) c) 2. ==[ alpha ]==> (((^x.x)((^y.y) b)) c) 3. ==[ beta ]==> (((^y.y) b) c) 4. ==[ alpha ]==> (((^x.x) b) c) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 73139/6063156. ------ 1. ==[ start ]==> (((a a)(^b.b)) b) 2. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 73140/6063180. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73141/6063192. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73142/6063261. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73143/6063495. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (a (^z.(^x1.x1))))) 3. ==[ eta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 73144/6063765. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((a a)(^z.z)))((((^y.y) a)((a a)(^z.z)))(((^y.y) a)((a a)(^z.z))))) 4. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((((^z.z) a)((a a)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1))))) 5. ==[ beta ]==> ((a ((a a)(^y.y)))((((^z.z) a)((a a)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1))))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((((^y.y) a)((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1))))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((a ((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1))))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))((a ((a a)(^y.y)))(a ((a a)(^x1.x1))))) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))((a ((a a)(^y.y)))(a ((a a)(^z.z))))) REDUCED to normal form. ------ 73145/6063840. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 73146/6063990. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73147/6064128. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73148/6064443. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 73149/6064548. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(a (a a)))) 3. ==[ beta ]==> ((((a b)(a (a a)))((a b)(a (a a))))((a b)(a (a a)))) REDUCED to normal form. ------ 73150/6064881. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 73151/6066027. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 73152/6066270. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73153/6066702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73154/6066900. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a b))) 3. ==[ beta ]==> ((a (a b))(^y.(a b))) 4. ==[ alpha ]==> ((a (a b))(^x.(a b))) REDUCED to normal form. ------ 73155/6067818. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((x x) x))) REDUCED to normal form. ------ 73156/6067923. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x1.x1))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 73157/6068097. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73158/6068241. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 73159/6068526. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73160/6068601. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 73161/6068841. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73162/6068853. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73163/6069132. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a a))) REDUCED to normal form. ------ 73164/6069159. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 73165/6069177. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.a)) 3. ==[ beta ]==> (((^y.y) b)(^z.a)) 4. ==[ alpha ]==> (((^x.x) b)(^y.a)) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 73166/6069186. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 73167/6069216. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 73168/6069225. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (a ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (a ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 73169/6069243. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73170/6069252. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 73171/6069270. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 73172/6069279. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 73173/6069297. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 73174/6069360. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 73175/6069387. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 73176/6069441. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 73177/6069531. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 73178/6069567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73179/6069720. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 73180/6069747. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 73181/6069774. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 73182/6069801. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 73183/6069873. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (^y.y))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 73184/6069891. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73185/6069900. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 73186/6069918. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 73187/6069945. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 73188/6069954. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 73189/6069981. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 73190/6069999. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 73191/6070008. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 73192/6070026. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 73193/6070116. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 73194/6070161. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73195/6070188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 73196/6070251. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 73197/6070278. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 73198/6070305. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 73199/6070359. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 73200/6070386. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 73201/6070413. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 73202/6070449. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (b a))) REDUCED to normal form. ------ 73203/6070476. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 73204/6070503. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a a))) 5. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 73205/6070530. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 73206/6070557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 73207/6070584. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(a (a a)))) REDUCED to normal form. ------ 73208/6070710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(^z.z)))) 5. ==[ beta ]==> (b (c (^y.(^z.z)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 73209/6070782. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 73210/6070836. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 9. ==[ beta ]==> ((a a)((a a)(^y.a))) 10. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 73211/6070845. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 73212/6070872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73213/6070917. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.a)) 6. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 73214/6071088. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73215/6071106. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73216/6071250. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 73217/6071277. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 73218/6071376. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) c)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 73219/6071502. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a)(a b))(a (a b))) REDUCED to normal form. ------ 73220/6071529. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (^y.y))(a a))) REDUCED to normal form. ------ 73221/6071556. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 73222/6071655. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 73223/6071700. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73224/6071727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 73225/6071781. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 73226/6071862. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 73227/6071871. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 73228/6071898. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 73229/6071925. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 73230/6071952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 73231/6072006. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 73232/6072033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73233/6072060. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 73234/6072078. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73235/6072150. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 73236/6072177. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 73237/6072204. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.x))) REDUCED to normal form. ------ 73238/6072231. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 73239/6072258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a b))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 73240/6072285. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 73241/6072303. ------ 1. ==[ start ]==> (((^a.b) c)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 73242/6072402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 73243/6072537. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (b (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 73244/6072546. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 73245/6072573. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 73246/6072654. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 73247/6072681. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 73248/6072735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73249/6072780. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 73250/6072879. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 73251/6072906. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 73252/6072933. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(a b))) 3. ==[ beta ]==> ((a (a b))((a a)(a b))) REDUCED to normal form. ------ 73253/6073212. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 7. ==[ beta ]==> (b ((^y.y) c)) 8. ==[ alpha ]==> (b ((^x.x) c)) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 73254/6073401. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 73255/6073464. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 73256/6073491. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.a))) REDUCED to normal form. ------ 73257/6073545. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 73258/6073563. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 73259/6073572. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 73260/6073599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 73261/6073626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 73262/6073824. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 73263/6073851. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 73264/6073878. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a a))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 73265/6073905. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 73266/6073959. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 73267/6074049. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 73268/6074130. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 73269/6074247. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 73270/6074274. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 73271/6074292. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73272/6074346. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a) c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a) c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a) c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a) c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a) c)) 7. ==[ beta ]==> (((a a)(a a))((^y.a) c)) 8. ==[ alpha ]==> (((a a)(a a))((^x.a) c)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 73273/6074355. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 73274/6074382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(b (^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)(b (^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73275/6074427. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (b ((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 73276/6074436. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 73277/6074463. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 73278/6074490. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 73279/6074535. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73280/6074544. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 73281/6074562. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 73282/6074607. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(b a)) REDUCED to normal form. ------ 73283/6074634. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 73284/6074661. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 73285/6074688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 73286/6074715. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 73287/6074796. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b c)) REDUCED to normal form. ------ 73288/6074841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73289/6074877. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (a (^y.y)))) 3. ==[ beta ]==> ((a b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 73290/6074886. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 73291/6074913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a) a)) 3. ==[ beta ]==> ((^y.y)((^z1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73292/6075048. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 73293/6075156. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73294/6075165. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 73295/6075192. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 73296/6075210. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73297/6075219. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 73298/6075236. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73299/6075237. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73300/6075267. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.(x x))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73301/6081255. ------ 1. ==[ start ]==> (((a a)(^b.b)) c) 2. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 73302/6081273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1)))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73303/6081279. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73304/6081306. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) b))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 7. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 73305/6081309. ------ 1. ==[ start ]==> ((a (a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 73306/6081333. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 73307/6081603. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73308/6081642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 73309/6081774. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 73310/6082224. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73311/6082551. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 73312/6083118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z a))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 73313/6083169. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73314/6083397. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y))((a a) a)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 73315/6083556. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.(((a (a a))((a a) a))((a (a a))((a a) a)))) 4. ==[ alpha ]==> (^x.(((a (a a))((a a) a))((a (a a))((a a) a)))) REDUCED to normal form. ------ 73316/6084153. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 73317/6084387. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 73318/6084438. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^z.b)(a (^x1.x1)))((^z.b)(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((b ((^z.b)(a (^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((b ((^x.b)(a (^y.y))))(^z.z)) 7. ==[ beta ]==> ((b b)(^z.z)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 73319/6085035. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 73320/6085194. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((a a) a))) 3. ==[ eta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73321/6085764. ------ 1. ==[ start ]==> (((a a)(b a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((a a) a))) REDUCED to normal form. ------ 73322/6085926. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 73323/6086367. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73324/6086709. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 73325/6086817. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 73326/6086949. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73327/6086988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2) z1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^x2.x2)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 5. ==[ beta ]==> ((^y.y)(^z1.z1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73328/6087123. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 73329/6087240. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 73330/6087267. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.a)) 3. ==[ beta ]==> ((b a)(^y.a)) 4. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 73331/6087285. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(z z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 73332/6087294. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.a)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 73333/6087312. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> ((^y.y)(^y1.y1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73334/6087324. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73335/6087342. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 73336/6087351. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 73337/6087369. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b) a)) 3. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 73338/6087378. ------ 1. ==[ start ]==> ((a b)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73339/6087396. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 73340/6087423. ------ 1. ==[ start ]==> (((^a.a) b)((b a) c)) 2. ==[ alpha ]==> (((^x.x) b)((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 73341/6087648. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73342/6087657. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.a)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73343/6087684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 73344/6087693. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 73345/6087720. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 73346/6087738. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(a (^y.y)))) 5. ==[ beta ]==> (a ((b a)(a (^y.y)))) 6. ==[ alpha ]==> (a ((b a)(a (^x.x)))) REDUCED to normal form. ------ 73347/6087765. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 73348/6087819. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 73349/6087927. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((((^y.y) a)((a a)(^z.z)))(((^y.y) a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z)))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((a a)(^z.z)))) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 73350/6087954. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 73351/6088017. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 73352/6088044. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 73353/6088071. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 73354/6088098. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 73355/6088125. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 73356/6088188. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 73357/6088215. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a (^x.x)))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (a (^x.x)))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 73358/6088233. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 73359/6088242. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 73360/6088269. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 73361/6088368. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 73362/6088593. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 73363/6088737. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 73364/6088791. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(a b))) 5. ==[ beta ]==> (a ((a (a a))(a b))) REDUCED to normal form. ------ 73365/6088872. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(b a))) 3. ==[ beta ]==> (((a a) a)((a a)(b a))) REDUCED to normal form. ------ 73366/6088908. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.x1))) REDUCED to normal form. ------ 73367/6088935. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 73368/6088962. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 73369/6088989. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73370/6089016. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 73371/6089052. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 73372/6089079. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a b)(a b))) REDUCED to normal form. ------ 73373/6089106. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 73374/6089133. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 73375/6089160. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 73376/6089205. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y)) b)) 3. ==[ beta ]==> (b (((a a)(^y.y)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 73377/6089214. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 73378/6089385. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (b (c ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 73379/6089412. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 73380/6089439. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 73381/6089475. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73382/6089493. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 73383/6089502. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 73384/6089574. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73385/6089601. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 73386/6089673. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 73387/6089754. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 73388/6089772. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 73389/6089781. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 73390/6089988. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b) b)((a a) b)) REDUCED to normal form. ------ 73391/6090015. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b) c)) 3. ==[ beta ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 73392/6090195. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (b (a ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 73393/6090204. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73394/6090231. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 73395/6090402. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 73396/6090429. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 73397/6090456. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 73398/6090483. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 73399/6090663. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 73400/6090690. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b) b)) 3. ==[ beta ]==> (((a a) b)((a b) b)) REDUCED to normal form. ------ 73401/6090879. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 73402/6090897. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 73403/6090906. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) b)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 73404/6091050. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.b))) 3. ==[ beta ]==> ((a (a b))(b (^y.b))) 4. ==[ alpha ]==> ((a (a b))(b (^x.b))) REDUCED to normal form. ------ 73405/6091077. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 73406/6091104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 9. ==[ beta ]==> ((^y.b)(a a)) 10. ==[ alpha ]==> ((^x.b)(a a)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 73407/6091158. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 73408/6091185. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 73409/6091212. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 73410/6091239. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 73411/6091410. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 73412/6091473. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 73413/6091518. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 73414/6091545. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 73415/6091599. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 73416/6091662. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 73417/6091689. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 73418/6091716. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 73419/6091743. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 73420/6091806. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 73421/6091860. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 73422/6091887. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 73423/6091914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 73424/6091941. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 73425/6091968. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.a)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 73426/6092085. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73427/6092382. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 73428/6092409. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73429/6092463. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(a (a (^y.y)))) 10. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 73430/6092472. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 73431/6092553. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 73432/6092580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 73433/6092607. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 73434/6092661. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a)) a)) REDUCED to normal form. ------ 73435/6092697. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 73436/6092724. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 73437/6092751. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 73438/6092805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 73439/6092832. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 73440/6092859. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 73441/6092886. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 73442/6092913. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 73443/6092958. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73444/6092967. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 73445/6092994. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73446/6093003. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 73447/6093030. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73448/6093165. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 73449/6093273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73450/6093282. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.z))) REDUCED to normal form. ------ 73451/6093309. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a) a)) 3. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 73452/6093327. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (a a))) 3. ==[ beta ]==> (((^y.y) b)(a (a a))) 4. ==[ alpha ]==> (((^x.x) b)(a (a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 73453/6093336. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 73454/6093354. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73455/6093362. ------ 1. ==[ start ]==> (^a.((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 73456/6093363. ------ 1. ==[ start ]==> (a ((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73457/6099399. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1)))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73458/6099408. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 73459/6099414. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 73460/6099423. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73461/6099441. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 73462/6099453. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73463/6099468. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 73464/6099504. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73465/6099666. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73466/6099777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73467/6099786. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 73468/6100083. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 73469/6100101. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73470/6100233. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73471/6100398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 73472/6100992. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 73473/6101124. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 73474/6101304. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(^y.y)) b) b) 4. ==[ alpha ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 73475/6101898. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.(z z)))(((a a) a)(^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.(y y)))(((a a) a)(^z.(z z))))) 5. ==[ beta ]==> ((((a a) a)(^y.(y y)))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 73476/6102288. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73477/6102297. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 73478/6102513. ------ 1. ==[ start ]==> (((^a.b) c)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 73479/6102573. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 73480/6102747. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 73481/6102972. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 73482/6103329. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.a))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 73483/6103566. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y b))) REDUCED to normal form. ------ 73484/6103878. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 73485/6103899. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 73486/6104502. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 73487/6104637. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73488/6104745. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73489/6104769. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73490/6105084. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73491/6105123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 73492/6105258. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 73493/6105366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73494/6105402. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.b)) 3. ==[ beta ]==> ((b a)(^y.b)) 4. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 73495/6105420. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 73496/6105429. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 73497/6105447. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73498/6105456. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 73499/6105468. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73500/6105477. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 73501/6105495. ------ 1. ==[ start ]==> ((a (a a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 73502/6105504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 73503/6105522. ------ 1. ==[ start ]==> ((a b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((a b)(((^x.x) b) a)) 3. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 73504/6105531. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73505/6105558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 73506/6105576. ------ 1. ==[ start ]==> (((a a)(a a))((b a) c)) REDUCED to normal form. ------ 73507/6105639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73508/6105666. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 73509/6105720. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 73510/6105801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73511/6105828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73512/6105837. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 73513/6105864. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 73514/6105891. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 73515/6105918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 73516/6105945. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 73517/6106053. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(a a))) REDUCED to normal form. ------ 73518/6106098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 73519/6106134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 73520/6106152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73521/6106179. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 73522/6106260. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 73523/6106287. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 73524/6106332. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.b))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.b)) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.b)) REDUCED to normal form. ------ 73525/6106359. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 73526/6106422. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73527/6106449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 73528/6106557. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73529/6106584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73530/6106638. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 73531/6106764. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 73532/6106971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (b (((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (b (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 9. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 73533/6106998. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 73534/6107043. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73535/6107178. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 73536/6107223. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.b))) REDUCED to normal form. ------ 73537/6107250. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 73538/6107331. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a) a)) REDUCED to normal form. ------ 73539/6107358. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 73540/6107367. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73541/6107529. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73542/6107538. ------ 1. ==[ start ]==> (((a b) a)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) a)(c (a a))) REDUCED to normal form. ------ 73543/6107556. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73544/6107565. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 73545/6107619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 73546/6107646. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 73547/6107673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)((a b)((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73548/6107700. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 73549/6107727. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 73550/6107871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (a (((a a)(^y.y))(^z.z))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 73551/6107898. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 73552/6107925. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 73553/6107952. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 73554/6107961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73555/6107988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73556/6108042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 73557/6108123. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73558/6108177. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 73559/6108204. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73560/6108321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b (a a))) REDUCED to normal form. ------ 73561/6108339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 73562/6108348. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 73563/6108375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 73564/6108411. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) c)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 73565/6108438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a) d)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 73566/6108564. ------ 1. ==[ start ]==> (((^a.b) c)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 73567/6108600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 73568/6108627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 73569/6108663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73570/6108798. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 73571/6108906. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73572/6108960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 73573/6108996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a b))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73574/6109023. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 73575/6109050. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(a a))) REDUCED to normal form. ------ 73576/6109077. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 73577/6109104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 73578/6109248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73579/6109275. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 73580/6109302. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a b) a)(^y.a)) 8. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 73581/6109329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 73582/6109356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 73583/6109383. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 73584/6109473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73585/6109554. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73586/6109617. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a b))) REDUCED to normal form. ------ 73587/6109725. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 73588/6109743. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 73589/6109752. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 73590/6109824. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73591/6109932. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 73592/6109950. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.a))) REDUCED to normal form. ------ 73593/6109977. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 73594/6110004. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y)) b)) 7. ==[ beta ]==> ((a (a a))((^y.y) b)) 8. ==[ alpha ]==> ((a (a a))((^x.x) b)) 9. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 73595/6110031. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a)) c)) REDUCED to normal form. ------ 73596/6110166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 73597/6110211. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73598/6110310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73599/6110391. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73600/6110499. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73601/6110526. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73602/6110535. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (a (a a)))) REDUCED to normal form. ------ 73603/6110553. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73604/6110616. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 73605/6110643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73606/6110688. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 73607/6110751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c c)) REDUCED to normal form. ------ 73608/6110796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73609/6110823. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 73610/6110841. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 73611/6110868. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y)) c)) REDUCED to normal form. ------ 73612/6110922. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 73613/6110949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a) b)) 5. ==[ beta ]==> ((a b)((^y.a) b)) 6. ==[ alpha ]==> ((a b)((^x.a) b)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 73614/6111030. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 73615/6111057. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 73616/6111111. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 73617/6111138. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) b)) 3. ==[ beta ]==> ((a b)((a (^y.y)) b)) 4. ==[ alpha ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 73618/6111147. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73619/6111174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 73620/6111309. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 73621/6111417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73622/6111426. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b a)) REDUCED to normal form. ------ 73623/6111453. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(a b)) 3. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 73624/6111471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 73625/6111480. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 73626/6111498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73627/6111507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 73628/6117561. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 73629/6117585. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73630/6117624. ------ 1. ==[ start ]==> (((a a) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 73631/6117666. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73632/6117948. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 73633/6118170. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((^y.y)(a a)))(((a (a a))((^y.y)(a a)))((a (a a))((^y.y)(a a))))) 4. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a (a a))((^y.y)(a a)))((a (a a))((^z.z)(a a))))) 5. ==[ beta ]==> (((a (a a))(a a))(((a (a a))((^y.y)(a a)))((a (a a))((^z.z)(a a))))) 6. ==[ alpha ]==> (((a (a a))(a a))(((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a))))) 7. ==[ beta ]==> (((a (a a))(a a))(((a (a a))(a a))((a (a a))((^y.y)(a a))))) 8. ==[ alpha ]==> (((a (a a))(a a))(((a (a a))(a a))((a (a a))((^x.x)(a a))))) 9. ==[ beta ]==> (((a (a a))(a a))(((a (a a))(a a))((a (a a))(a a)))) REDUCED to normal form. ------ 73634/6118272. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 73635/6118395. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73636/6118875. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 73637/6118953. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((((^y.y)(a a))((^z.z) a))(((^y.y)(a a))((^z.z) a)))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))(((^y1.y1)(a a))((^z1.z1) a))) 5. ==[ beta ]==> ((((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))(((^y1.y1)(a a))((^z1.z1) a))) 6. ==[ alpha ]==> ((((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a)))(((^x1.x1)(a a))((^y1.y1) a))) 7. ==[ beta ]==> ((((a a) a)(((^y.y)(a a))((^z.z) a)))(((^x1.x1)(a a))((^y1.y1) a))) 8. ==[ alpha ]==> ((((a a) a)(((^x.x)(a a))((^y.y) a)))(((^z.z)(a a))((^x1.x1) a))) 9. ==[ beta ]==> ((((a a) a)((a a)((^y.y) a)))(((^z.z)(a a))((^x1.x1) a))) 10. ==[ alpha ]==> ((((a a) a)((a a)((^x.x) a)))(((^y.y)(a a))((^z.z) a))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))((^z.z) a))) 12. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))((^y.y) a))) 13. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y) a))) 14. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x) a))) 15. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 73638/6119163. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 73639/6119286. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 73640/6120459. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 73641/6120675. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 73642/6120684. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 73643/6120909. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 73644/6120918. ------ 1. ==[ start ]==> (((a b) c)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 73645/6121134. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 73646/6121728. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 73647/6121917. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 73648/6122040. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 73649/6122250. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((y y) y))) 5. ==[ beta ]==> (((a a) a)(^y.((y y) y))) 6. ==[ alpha ]==> (((a a) a)(^x.((x x) x))) REDUCED to normal form. ------ 73650/6122328. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((((^x1.x1) a)((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 73651/6122808. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 73652/6122916. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a (a a)))) REDUCED to normal form. ------ 73653/6122931. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73654/6123033. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 73655/6123114. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 73656/6123213. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73657/6123246. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73658/6123420. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73659/6123528. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73660/6123537. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 73661/6123564. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a a))) 3. ==[ beta ]==> ((b a)(^y.(a a))) 4. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 73662/6123582. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.a)) 3. ==[ beta ]==> (((^y.y) b)(^z.a)) 4. ==[ alpha ]==> (((^x.x) b)(^y.a)) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 73663/6123591. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 73664/6123609. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> ((^y.y)(^y1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 73665/6123618. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 73666/6123648. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 73667/6123657. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73668/6123675. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73669/6123684. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 73670/6123702. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) a)) 3. ==[ beta ]==> ((a a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 73671/6123711. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 73672/6123729. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 73673/6123738. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 73674/6123792. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 73675/6123819. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 73676/6123846. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 73677/6123927. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73678/6124008. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 73679/6124053. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 73680/6124152. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 73681/6124179. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 73682/6124206. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 73683/6124233. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 73684/6124305. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 73685/6124332. ------ 1. ==[ start ]==> (((a (a a)) a)(a (^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 73686/6124350. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 73687/6124359. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 73688/6124377. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 73689/6124431. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 73690/6124440. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 73691/6124458. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 73692/6124548. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((b b)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((b b)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((b b)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 73693/6124620. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73694/6124674. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) b)) 5. ==[ beta ]==> ((^y.y)((b a) b)) 6. ==[ alpha ]==> ((^x.x)((b a) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 73695/6124737. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 73696/6124764. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 73697/6124791. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 73698/6124818. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73699/6124845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 9. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73700/6124908. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (b a))) REDUCED to normal form. ------ 73701/6124935. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 73702/6124962. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 73703/6124989. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 73704/6125016. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x) a))) 5. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 73705/6125223. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 73706/6125268. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 73707/6125277. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 73708/6125304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73709/6125331. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 73710/6125349. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 73711/6125538. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73712/6125682. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((((a a) a) b)((^y.b)(^y.b))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 73713/6125709. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 73714/6125736. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 73715/6125934. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 73716/6125961. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a b))) REDUCED to normal form. ------ 73717/6125988. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 73718/6126015. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 73719/6126087. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 73720/6126132. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73721/6126159. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73722/6126213. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((^y.y) a)(^z.b)) 8. ==[ alpha ]==> (((^x.x) a)(^y.b)) 9. ==[ beta ]==> (a (^y.b)) 10. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 73723/6126294. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 73724/6126303. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 73725/6126330. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 73726/6126348. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(a a))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((a b) c)) 5. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 73727/6126357. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 73728/6126384. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 73729/6126438. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 73730/6126465. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.b))) 7. ==[ beta ]==> (((^y.a)(^z.b))((^y.a)(^z.b))) 8. ==[ alpha ]==> (((^x.a)(^y.b))((^z.a)(^x1.b))) 9. ==[ beta ]==> (a ((^z.a)(^x1.b))) 10. ==[ alpha ]==> (a ((^x.a)(^y.b))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73731/6126492. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 73732/6126519. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 73733/6126582. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 73734/6126609. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((a a) a) a)) REDUCED to normal form. ------ 73735/6126636. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 73736/6126663. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 73737/6126690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a (a a))(a ((a a) a))) REDUCED to normal form. ------ 73738/6126717. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 73739/6126735. ------ 1. ==[ start ]==> (((^a.b) c)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 73740/6126744. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 73741/6126834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 73742/6126969. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 73743/6126978. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(a a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(a a))) 5. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 73744/6127005. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 73745/6127032. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 73746/6127086. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 73747/6127113. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 73748/6127167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73749/6127194. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 73750/6127212. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 73751/6127311. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 73752/6127338. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 73753/6127365. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 73754/6127392. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(a b))) REDUCED to normal form. ------ 73755/6127644. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a) b)) 5. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 73756/6127788. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.b)) REDUCED to normal form. ------ 73757/6127833. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a) b)) 3. ==[ beta ]==> ((b a)((^y.a) b)) 4. ==[ alpha ]==> ((b a)((^x.a) b)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 73758/6127860. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73759/6127923. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 73760/6127977. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 73761/6127995. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)(^y.y))) 3. ==[ beta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 73762/6128004. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 73763/6128031. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 73764/6128058. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 73765/6128103. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 73766/6128283. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 73767/6128310. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a ((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a ((a a) a))) 5. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 73768/6128337. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 73769/6128391. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 73770/6128481. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73771/6128562. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 73772/6128679. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 73773/6128706. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 73774/6128778. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y)) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y)) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) b)) 9. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 73775/6128814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.a))) 5. ==[ beta ]==> ((^y.b)(c (^z.a))) 6. ==[ alpha ]==> ((^x.b)(c (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73776/6128868. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 73777/6128895. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 73778/6128922. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 73779/6128967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73780/6128976. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 73781/6128994. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 73782/6129039. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (a (^y.y)))) REDUCED to normal form. ------ 73783/6129066. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 73784/6129093. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a (a a)))) REDUCED to normal form. ------ 73785/6129120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 73786/6129147. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 73787/6129174. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 73788/6129273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73789/6129309. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (a a))) 3. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 73790/6129318. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 73791/6129480. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 73792/6129588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73793/6129597. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 73794/6129624. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(a a))) 3. ==[ beta ]==> ((b a)((^y.y)(a a))) 4. ==[ alpha ]==> ((b a)((^x.x)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 73795/6129642. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a) a)) 3. ==[ beta ]==> (((^y.y) b)((a a) a)) 4. ==[ alpha ]==> (((^x.x) b)((a a) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 73796/6129651. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 73797/6129669. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73798/6129678. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 73799/6129695. ------ 1. ==[ start ]==> (^a.((^b.a)(b a))) 2. ==[ alpha ]==> (^x.((^y.x)(b x))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 73800/6129696. ------ 1. ==[ start ]==> (a ((^b.a)(b a))) 2. ==[ alpha ]==> (a ((^x.a)(b a))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 73801/6129753. ------ 1. ==[ start ]==> ((^a.b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.b)(^z.z)) 4. ==[ alpha ]==> ((^x.b)(^y.y)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73802/6135765. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 3. ==[ beta ]==> ((^y.a)(b a)) 4. ==[ alpha ]==> ((^x.a)(b a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73803/6135792. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73804/6135819. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 73805/6135822. ------ 1. ==[ start ]==> ((a b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a b)(^x.((^y.y) x))) 3. ==[ eta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 73806/6136260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 73807/6136710. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73808/6137064. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73809/6137631. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x a))) REDUCED to normal form. ------ 73810/6138042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (^x.(((^z.z)((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (^x.(((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> (^x.((^z.z)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2))))) 10. ==[ alpha ]==> (^x.((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))) 11. ==[ beta ]==> (^x.(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 15. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 16. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 17. ==[ beta ]==> (^x.(^z.z)) 18. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73811/6138249. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.b)((^x1.x1) a))((^z.b)((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)((^z.z) a))((^x1.b)((^y1.y1) a)))) 5. ==[ beta ]==> (((^y.b)((^z.z) a))((^x1.b)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((^x1.x1) a))) 7. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 8. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 73812/6138924. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((^z.(a a))(a a))((^z.(a a))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(a a))((^y.(a a))(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a))(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 73813/6139107. ------ 1. ==[ start ]==> (((a b) c)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(a a)))) REDUCED to normal form. ------ 73814/6139341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 73815/6139548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 9. ==[ beta ]==> (^y.(^z.(y y))) 10. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 73816/6139680. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 73817/6140277. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 73818/6140439. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.a))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.a))) REDUCED to normal form. ------ 73819/6140988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 73820/6141222. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 73821/6141330. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 73822/6141402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73823/6141411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^z.a)) REDUCED to normal form. ------ 73824/6141435. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73825/6141609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 73826/6141726. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 73827/6141753. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 73828/6141771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.b)) 3. ==[ beta ]==> (((^y.y) b)(^z.b)) 4. ==[ alpha ]==> (((^x.x) b)(^y.b)) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 73829/6141780. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.a)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 73830/6141798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 73831/6141807. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 73832/6141837. ------ 1. ==[ start ]==> ((a a)((^b.a)(b a))) 2. ==[ alpha ]==> ((a a)((^x.a)(b a))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 73833/6141855. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73834/6141864. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 73835/6141882. ------ 1. ==[ start ]==> (((a a) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 73836/6141891. ------ 1. ==[ start ]==> ((a b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 73837/6141909. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 73838/6141936. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 73839/6141945. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 73840/6141963. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 73841/6142107. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 73842/6142170. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (b a))) 3. ==[ beta ]==> ((^y.a)(c (b a))) 4. ==[ alpha ]==> ((^x.a)(c (b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 73843/6142197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 73844/6142233. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 73845/6142251. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 73846/6142260. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 73847/6142278. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 73848/6142332. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 73849/6142440. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))((^y.y)(a a)))((a (a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(a a))((a (a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (((a (a a))(a a))((a (a a))((^x.x)(a a)))) 9. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 73850/6142467. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 73851/6142521. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 73852/6142557. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 73853/6142584. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 73854/6142611. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 73855/6142638. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 73856/6142674. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 73857/6142728. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 73858/6142746. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 73859/6142755. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 73860/6142782. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 73861/6142881. ------ 1. ==[ start ]==> (((a (a a)) b)((b a) b)) REDUCED to normal form. ------ 73862/6143079. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 73863/6143133. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 73864/6143250. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 73865/6143304. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (a ((^y.y)((a a) a))) 8. ==[ alpha ]==> (a ((^x.x)((a a) a))) 9. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 73866/6143385. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 73867/6143412. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 73868/6143448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 73869/6143475. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 73870/6143502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73871/6143529. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 73872/6143592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 73873/6143619. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a (a (a a)))((a b)(a b))) REDUCED to normal form. ------ 73874/6143646. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 73875/6143673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 73876/6143700. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(b a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b a)) REDUCED to normal form. ------ 73877/6143718. ------ 1. ==[ start ]==> (((^a.b) a)((b a) a)) 2. ==[ alpha ]==> (((^x.b) a)((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 73878/6143925. ------ 1. ==[ start ]==> (((^a.a)(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 73879/6143952. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 73880/6144006. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 73881/6144042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.a)((^z.(a a)) c)) 6. ==[ alpha ]==> ((^x.a)((^y.(a a)) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 73882/6144087. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 73883/6144114. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 73884/6144213. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 73885/6144285. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 73886/6144294. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 73887/6144321. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 73888/6144501. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 73889/6144528. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 73890/6144555. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b) c)) REDUCED to normal form. ------ 73891/6144708. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (b (b ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 73892/6144942. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 73893/6144996. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 73894/6145176. ------ 1. ==[ start ]==> (((a b) c)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(a a)))) REDUCED to normal form. ------ 73895/6145203. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 73896/6145230. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b) b)) REDUCED to normal form. ------ 73897/6145410. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (b (a ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 73898/6145419. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 73899/6145446. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 73900/6145563. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a (a b))(c (^y.a))) 4. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 73901/6145590. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.b))) REDUCED to normal form. ------ 73902/6145617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(a a)))) 7. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 73903/6145644. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 73904/6145671. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 73905/6145698. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 73906/6145725. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 73907/6145752. ------ 1. ==[ start ]==> ((a (b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 73908/6146031. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)(a a))) 3. ==[ beta ]==> ((b a)(((a a) a)(a a))) REDUCED to normal form. ------ 73909/6146058. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 73910/6146112. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))(a (a (a a)))) REDUCED to normal form. ------ 73911/6146202. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 73912/6146229. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 73913/6146256. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 73914/6146319. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 73915/6146346. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 73916/6146400. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 73917/6146427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.a))) 7. ==[ beta ]==> (((a a) a)((^y.a)(^y.a))) 8. ==[ alpha ]==> (((a a) a)((^x.a)(^y.a))) 9. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 73918/6146454. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 73919/6146481. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 73920/6146598. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73921/6146760. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 73922/6146922. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 73923/6146976. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 73924/6146985. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(b b)) REDUCED to normal form. ------ 73925/6147012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) c)) 5. ==[ beta ]==> ((^y.b)((^z.a) c)) 6. ==[ alpha ]==> ((^x.b)((^y.a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73926/6147057. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 73927/6147093. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 73928/6147120. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 73929/6147174. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 73930/6147210. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 73931/6147237. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 73932/6147264. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 73933/6147291. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 73934/6147372. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 73935/6147399. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 73936/6147426. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 73937/6147471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73938/6147480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 73939/6147507. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 73940/6147516. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (a a))) 3. ==[ beta ]==> ((^y.y)(c (a a))) 4. ==[ alpha ]==> ((^x.x)(c (a a))) 5. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 73941/6147543. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 73942/6147678. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 73943/6147786. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73944/6147795. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 73945/6147822. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(^y.y))) 3. ==[ beta ]==> ((b a)((a a)(^y.y))) 4. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 73946/6147840. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a b)) 3. ==[ beta ]==> (((^y.y) b)(a b)) 4. ==[ alpha ]==> (((^x.x) b)(a b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 73947/6147849. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 73948/6147867. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 73949/6147876. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 73950/6147960. ------ 1. ==[ start ]==> ((^a.b)(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 73951/6153261. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73952/6153990. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73953/6154008. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) REDUCED to normal form. ------ 73954/6154035. ------ 1. ==[ start ]==> ((^a.b)((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 73955/6154038. ------ 1. ==[ start ]==> ((a b)(^c.(^b.b))) 2. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 73956/6154047. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 73957/6154071. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73958/6154116. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a) c)) 3. ==[ beta ]==> (((b a) c)(^y.y)) 4. ==[ alpha ]==> (((b a) c)(^x.x)) REDUCED to normal form. ------ 73959/6154233. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.b))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 73960/6154380. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.z) b))) 3. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 73961/6154695. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 73962/6154800. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73963/6155568. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(b a))) REDUCED to normal form. ------ 73964/6155691. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 73965/6155871. ------ 1. ==[ start ]==> ((^a.(a b))((b a) a)) 2. ==[ alpha ]==> ((^x.(x b))((b a) a)) 3. ==[ beta ]==> (((b a) a) b) REDUCED to normal form. ------ 73966/6156135. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z))) b) 4. ==[ beta ]==> ((a (^y.(^z.z))) b) 5. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 73967/6156465. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.a))((a b)(^z.a)))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.a))((a b)(^z.a)))) 5. ==[ beta ]==> (((a b)(^y.a))((a b)(^z.a))) 6. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 73968/6156639. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 73969/6156891. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 73970/6157140. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((((^z.z)(a a))(^x1.x1))(((^z.z)(a a))(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(a a))(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(a a))(^z.z)))(^x1.x1)) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 73971/6157557. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 73972/6157566. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 73973/6157896. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 73974/6158322. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 73975/6158340. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 73976/6158445. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 73977/6158826. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((a a)(^z.(^x1.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 73978/6159213. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 73979/6159336. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73980/6159339. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 73981/6159651. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 73982/6159942. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a a))) REDUCED to normal form. ------ 73983/6159987. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a a))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 73984/6159996. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 73985/6160014. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 73986/6160023. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 73987/6160071. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 73988/6160089. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 73989/6160098. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73990/6160116. ------ 1. ==[ start ]==> ((a b)((a a)(^b.b))) 2. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 73991/6160125. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 73992/6160152. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 73993/6160170. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 73994/6160197. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a) c)) REDUCED to normal form. ------ 73995/6160260. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 73996/6160287. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 73997/6160314. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 73998/6160422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 73999/6160431. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 74000/6160458. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a ((^y.y) b))) 3. ==[ beta ]==> ((a a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 74001/6160485. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 74002/6160512. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a (^x1.x1)))) REDUCED to normal form. ------ 74003/6160539. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 74004/6160647. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a a)((^y.y)(a b))) 6. ==[ alpha ]==> ((a a)((^x.x)(a b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 74005/6160728. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(b a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(b a))) REDUCED to normal form. ------ 74006/6160746. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74007/6160755. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 74008/6160773. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.y))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 74009/6160800. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74010/6160881. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 74011/6160899. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 74012/6160953. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.b)) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 74013/6160980. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 74014/6161016. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74015/6161043. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74016/6161097. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.y2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74017/6161178. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74018/6161385. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 74019/6161565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(a b))) 5. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 74020/6161592. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a (a a))) REDUCED to normal form. ------ 74021/6161646. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(b a))) REDUCED to normal form. ------ 74022/6161772. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 74023/6161790. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 74024/6161844. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.b))) REDUCED to normal form. ------ 74025/6161871. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(a (^y.(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)(a (^x.(a a)))) REDUCED to normal form. ------ 74026/6161952. ------ 1. ==[ start ]==> ((a (a b))((b a) a)) REDUCED to normal form. ------ 74027/6162042. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 74028/6162123. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 74029/6162150. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 74030/6162159. ------ 1. ==[ start ]==> (((a a)(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(c (a a))) REDUCED to normal form. ------ 74031/6162213. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 74032/6162240. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 74033/6162267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74034/6162294. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 74035/6162321. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 74036/6162492. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 74037/6162519. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 74038/6162546. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.a))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.a))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 74039/6162555. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74040/6162582. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74041/6162636. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 7. ==[ beta ]==> ((^y.(y y))((a a) a)) 8. ==[ alpha ]==> ((^x.(x x))((a a) a)) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 74042/6162717. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 74043/6162771. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 74044/6162798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74045/6162852. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74046/6162915. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (a b))) REDUCED to normal form. ------ 74047/6162933. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74048/6162942. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 74049/6162969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 74050/6163005. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) b)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 74051/6163032. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 74052/6163158. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(a b))) 3. ==[ beta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 74053/6163221. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 74054/6163257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74055/6163392. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74056/6163473. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 74057/6163554. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 74058/6163590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(c ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74059/6163617. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (a b))) REDUCED to normal form. ------ 74060/6163635. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 74061/6163644. ------ 1. ==[ start ]==> (((a b)(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 74062/6163671. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 74063/6163698. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 74064/6163869. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 74065/6163896. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 74066/6163923. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.a)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 74067/6163950. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 74068/6163977. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 74069/6164067. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.b)(^y.y))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 74070/6164148. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 74071/6164211. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b ((a a) a))) REDUCED to normal form. ------ 74072/6164319. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 74073/6164346. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 74074/6164400. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 74075/6164418. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 74076/6164526. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 74077/6164544. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 74078/6164598. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a) a)) 5. ==[ beta ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 74079/6164625. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 74080/6164805. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74081/6164904. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.a))) 5. ==[ beta ]==> ((a a)(a (^z.a))) 6. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 74082/6164985. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74083/6165093. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74084/6165120. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 74085/6165147. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74086/6165210. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 74087/6165237. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74088/6165282. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 74089/6165291. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 74090/6165390. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74091/6165417. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 74092/6165435. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 74093/6165462. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a b)) REDUCED to normal form. ------ 74094/6165543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y)) a)) 5. ==[ beta ]==> ((a b)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 74095/6165570. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 74096/6165597. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 74097/6165651. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 74098/6165696. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74099/6165705. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.a))) REDUCED to normal form. ------ 74100/6165732. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) a)) 3. ==[ beta ]==> ((a b)(((^y.y) a) a)) 4. ==[ alpha ]==> ((a b)(((^x.x) a) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 74101/6165741. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74102/6165768. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74103/6165903. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74104/6166011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74105/6166020. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(a a))) REDUCED to normal form. ------ 74106/6166047. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(b a)) 3. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 74107/6166065. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 74108/6166074. ------ 1. ==[ start ]==> (((a a)(^b.b))(a b)) 2. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 74109/6166092. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74110/6166101. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 74111/6171495. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74112/6172299. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74113/6172314. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74114/6172623. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 74115/6172818. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(a b))((((^y.y)(^z.z))(a b))(((^y.y)(^z.z))(a b)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((((^z.z)(^x1.x1))(a b))(((^y1.y1)(^z1.z1))(a b)))) 5. ==[ beta ]==> (((^y.y)(a b))((((^z.z)(^x1.x1))(a b))(((^y1.y1)(^z1.z1))(a b)))) 6. ==[ alpha ]==> (((^x.x)(a b))((((^y.y)(^z.z))(a b))(((^x1.x1)(^y1.y1))(a b)))) 7. ==[ beta ]==> ((a b)((((^y.y)(^z.z))(a b))(((^x1.x1)(^y1.y1))(a b)))) 8. ==[ alpha ]==> ((a b)((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b)))) 9. ==[ beta ]==> ((a b)(((^y.y)(a b))(((^z.z)(^x1.x1))(a b)))) 10. ==[ alpha ]==> ((a b)(((^x.x)(a b))(((^y.y)(^z.z))(a b)))) 11. ==[ beta ]==> ((a b)((a b)(((^y.y)(^z.z))(a b)))) 12. ==[ alpha ]==> ((a b)((a b)(((^x.x)(^y.y))(a b)))) 13. ==[ beta ]==> ((a b)((a b)((^y.y)(a b)))) 14. ==[ alpha ]==> ((a b)((a b)((^x.x)(a b)))) 15. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 74116/6172947. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 74117/6173043. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74118/6173550. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 74119/6173601. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((((a a)(^y.y))(a (^z.z)))(((a a)(^y.y))(a (^z.z))))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1))))(((a a)(^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 74120/6173838. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 74121/6173934. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 74122/6174108. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(b a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(y a))) 3. ==[ beta ]==> (b (^y.(y a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 74123/6174882. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74124/6174891. ------ 1. ==[ start ]==> (((a b) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 74125/6175134. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74126/6175593. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 74127/6175809. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 74128/6176592. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.b))) REDUCED to normal form. ------ 74129/6176688. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74130/6176925. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 74131/6176976. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 74132/6177483. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74133/6177579. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74134/6177582. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 74135/6177708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(y (y y)))) 5. ==[ beta ]==> ((a b)(^y.(y (y y)))) 6. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 74136/6178212. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74137/6178230. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 74138/6178239. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 74139/6178266. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 74140/6178332. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(b a))) 3. ==[ beta ]==> (a ((^y.a)(b a))) 4. ==[ alpha ]==> (a ((^x.a)(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74141/6178350. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74142/6178359. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 74143/6178377. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.y))) 3. ==[ beta ]==> ((a a)((a a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 74144/6178386. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 74145/6178404. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 74146/6178413. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74147/6178440. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74148/6178458. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74149/6178521. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 74150/6178548. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 74151/6178602. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74152/6178683. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 74153/6178710. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74154/6178728. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74155/6178755. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74156/6178827. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 74157/6178854. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 74158/6178881. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 74159/6178908. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 74160/6178980. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 74161/6179007. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 74162/6179034. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 74163/6179052. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74164/6179061. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 74165/6179106. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 74166/6179133. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 74167/6179223. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 74168/6179268. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74169/6179349. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 7. ==[ beta ]==> ((a (^y.(^z.z))) a) 8. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 74170/6179358. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 74171/6179412. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74172/6179439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 74173/6179466. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 74174/6179520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74175/6179610. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (b a))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (b a))) 5. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 74176/6179637. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 74177/6179664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(a a))) 5. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 74178/6179691. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 74179/6179925. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74180/6179943. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.y))) 7. ==[ beta ]==> ((a a)((b a)(^y.y))) 8. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 74181/6180006. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 74182/6180024. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.(y y)))) REDUCED to normal form. ------ 74183/6180195. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(b a))) 3. ==[ beta ]==> (b ((^y.y)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 74184/6180213. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a) a)) 3. ==[ beta ]==> ((^y.b)((b a) a)) 4. ==[ alpha ]==> ((^x.b)((b a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74185/6180357. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 74186/6180384. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a b) a)((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 74187/6180411. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 74188/6180609. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a b))(^y.y)) 8. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 74189/6180636. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 74190/6180663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 7. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 74191/6180690. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 74192/6180717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a a)((a a)(^y.y)))) 8. ==[ alpha ]==> (a ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 74193/6180762. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74194/6180807. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74195/6180834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 74196/6180888. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))(^y.a)) 8. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 74197/6180969. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 74198/6180978. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 74199/6181023. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 74200/6181032. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 74201/6181050. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 74202/6181059. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 74203/6181113. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74204/6181167. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 74205/6181194. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74206/6181257. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 74207/6181284. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(a (^y.y)))) REDUCED to normal form. ------ 74208/6181311. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a ((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 74209/6181338. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 74210/6181365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 74211/6181392. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((((a a) a) a)(a ((a a) a))) REDUCED to normal form. ------ 74212/6181410. ------ 1. ==[ start ]==> (((^a.b) c)(c (^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 74213/6181419. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 74214/6181446. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 74215/6181509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 74216/6181644. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 74217/6181653. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 74218/6181680. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 74219/6181707. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 74220/6181725. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 74221/6181761. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 74222/6181788. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 74223/6181842. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74224/6181869. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 74225/6181896. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 74226/6181986. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 74227/6182013. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 74228/6182040. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a b))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a b))(a (^y.y))) 8. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 74229/6182067. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 74230/6182094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a b))) 7. ==[ beta ]==> ((^y.y)((a a)(a b))) 8. ==[ alpha ]==> ((^x.x)((a a)(a b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 74231/6182319. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b) a)) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 74232/6182463. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 74233/6182508. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b) a)) 3. ==[ beta ]==> ((b a)((^y.b) a)) 4. ==[ alpha ]==> ((b a)((^x.b) a)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 74234/6182652. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 74235/6182679. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 74236/6182706. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 74237/6182733. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 74238/6182778. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 74239/6182958. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (a (a a)))) REDUCED to normal form. ------ 74240/6182985. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(b (^y.y))) 8. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 74241/6183012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 74242/6183066. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 74243/6183237. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 74244/6183345. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74245/6183354. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 74246/6183381. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 74247/6183453. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 74248/6183543. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 74249/6183570. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 74250/6183597. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 74251/6183642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74252/6183651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 74253/6183669. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 74254/6183768. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 74255/6183795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (a (a a)))) 5. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 74256/6183822. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 74257/6183849. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 74258/6183876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 74259/6183948. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74260/6183957. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b c)) REDUCED to normal form. ------ 74261/6183993. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74262/6184020. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 74263/6184155. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 74264/6184263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74265/6184272. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.z))) REDUCED to normal form. ------ 74266/6184299. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 74267/6184317. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 74268/6184326. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 74269/6184344. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 74270/6184353. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 74271/6184397. ------ 1. ==[ start ]==> (^a.((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(y y))((x x)(^z.z)))) 3. ==[ beta ]==> (^x.(((x x)(^z.z))((x x)(^z.z)))) 4. ==[ alpha ]==> (^x.(((x x)(^y.y))((x x)(^z.z)))) REDUCED to normal form. ------ 74272/6184398. ------ 1. ==[ start ]==> (a ((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 74273/6186291. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(y a))) 3. ==[ beta ]==> ((^y.(y a)) b) 4. ==[ alpha ]==> ((^x.(x a)) b) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74274/6190071. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74275/6190488. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y))) a) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y))) a) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 74276/6190494. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 74277/6190521. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(b a))) 3. ==[ beta ]==> (((^y.a)(b a))((^y.a)(b a))) 4. ==[ alpha ]==> (((^x.a)(b a))((^y.a)(b a))) 5. ==[ beta ]==> (a ((^y.a)(b a))) 6. ==[ alpha ]==> (a ((^x.a)(b a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74278/6190548. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 74279/6190629. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 5. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74280/6190911. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) b))) 5. ==[ beta ]==> (a (^y.((^z.z) b))) 6. ==[ alpha ]==> (a (^x.((^y.y) b))) 7. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 74281/6190989. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 74282/6191439. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74283/6191820. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 74284/6192378. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 74285/6192384. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(b a))) 3. ==[ beta ]==> (((^y.y)(b a)) b) 4. ==[ alpha ]==> (((^x.x)(b a)) b) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 74286/6192387. ------ 1. ==[ start ]==> ((a (a b))(^b.(b a))) 2. ==[ alpha ]==> ((a (a b))(^x.(x a))) REDUCED to normal form. ------ 74287/6192666. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x))(a (a a))) b) 4. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 74288/6192771. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.((((a a) a)(a (a a)))(((a a) a)(a (a a))))) 4. ==[ alpha ]==> (^x.((((a a) a)(a (a a)))(((a a) a)(a (a a))))) REDUCED to normal form. ------ 74289/6192978. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(a (^x1.x1)))((^z.(a a))(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(a (^z.z)))((^x1.(a a))(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.(a a))(a (^z.z)))((^x1.(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)((^z.(a a))(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 74290/6193161. ------ 1. ==[ start ]==> (((a b) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74291/6193863. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 74292/6194304. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 74293/6194409. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(a (a a)))) 3. ==[ eta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 74294/6194691. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(y b))) 3. ==[ beta ]==> ((b a)(^y.(y b))) 4. ==[ alpha ]==> ((b a)(^x.(x b))) REDUCED to normal form. ------ 74295/6194853. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 74296/6195033. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((a a) a))) 5. ==[ beta ]==> ((a (a a))(^y.((a a) a))) 6. ==[ alpha ]==> ((a (a a))(^x.((a a) a))) REDUCED to normal form. ------ 74297/6195195. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 74298/6195339. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^x.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 74299/6195636. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 74300/6195870. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(a (a a)))) REDUCED to normal form. ------ 74301/6195978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 74302/6196086. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(z z)))) REDUCED to normal form. ------ 74303/6196164. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74304/6196167. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 74305/6196446. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74306/6196482. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.y)) 3. ==[ beta ]==> ((b a)(^y.y)) 4. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 74307/6196509. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 74308/6196527. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.b)) 3. ==[ beta ]==> ((^y.y)(^y1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 74309/6196581. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 74310/6196593. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 74311/6196620. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(b a))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 74312/6196638. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74313/6196647. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 74314/6196665. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 74315/6196692. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b) a)) 3. ==[ beta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 74316/6196701. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 74317/6196719. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 74318/6196728. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 74319/6196746. ------ 1. ==[ start ]==> (((a a) b)((b a) c)) REDUCED to normal form. ------ 74320/6196890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 74321/6197007. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) b))) 5. ==[ beta ]==> (a (a ((^y.y) b))) 6. ==[ alpha ]==> (a (a ((^x.x) b))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 74322/6197016. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 74323/6197034. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 74324/6197043. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 74325/6197088. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 74326/6197196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a b))(((^y.y)(^z.z))(a b))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b))) 7. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a b))) 8. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a b))) 9. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 10. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 11. ==[ beta ]==> ((a b)((^y.y)(a b))) 12. ==[ alpha ]==> ((a b)((^x.x)(a b))) 13. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 74327/6197223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 74328/6197277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 7. ==[ beta ]==> ((a (^y.y))(b a)) 8. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 74329/6197304. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 74330/6197340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 74331/6197367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 74332/6197394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 74333/6197430. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 74334/6197457. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 74335/6197502. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.b))) 7. ==[ beta ]==> ((b b)(^y.b)) 8. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 74336/6197511. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 74337/6197538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 74338/6197637. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 74339/6197664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a) b)) 3. ==[ beta ]==> (((^y.y) a)((b a) b)) 4. ==[ alpha ]==> (((^x.x) a)((b a) b)) 5. ==[ beta ]==> (a ((b a) b)) REDUCED to normal form. ------ 74340/6197691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 74341/6197835. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 74342/6197862. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 74343/6197916. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74344/6198006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 74345/6198060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a (((a a) a)(^y.y))) 8. ==[ alpha ]==> (a (((a a) a)(^x.x))) REDUCED to normal form. ------ 74346/6198141. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 74347/6198168. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 74348/6198231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 74349/6198258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74350/6198285. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 74351/6198321. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 74352/6198375. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 74353/6198402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a (a a)) a)((a b)(a b))) REDUCED to normal form. ------ 74354/6198429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 74355/6198456. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 74356/6198483. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(b a))) 3. ==[ beta ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 74357/6198762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a (b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (b a))) REDUCED to normal form. ------ 74358/6198798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74359/6198825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 74360/6198843. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)((^y.y) a))) 3. ==[ beta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 74361/6198870. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 74362/6198996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 7. ==[ beta ]==> (a (b (^y.(^z.z)))) 8. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 74363/6199041. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 74364/6199050. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 74365/6199077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 74366/6199257. ------ 1. ==[ start ]==> (((a b) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 74367/6199284. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 74368/6199311. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 74369/6199338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b) c)) REDUCED to normal form. ------ 74370/6199464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 74371/6199698. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.b))) REDUCED to normal form. ------ 74372/6199725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 74373/6199932. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 74374/6199959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 74375/6199986. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 74376/6200040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 74377/6200166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 74378/6200202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 74379/6200229. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 74380/6200373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 7. ==[ beta ]==> ((^y.y)(b (^z.b))) 8. ==[ alpha ]==> ((^x.x)(b (^y.b))) 9. ==[ beta ]==> (b (^y.b)) 10. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 74381/6200400. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 74382/6200427. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(a a))) 3. ==[ beta ]==> (((a b) a)((^y.b)(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(a a))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 74383/6200481. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 74384/6200508. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 74385/6200787. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (a b))) 3. ==[ beta ]==> ((b a)(a (a b))) REDUCED to normal form. ------ 74386/6200814. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 74387/6200850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 74388/6200868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))((a (a a)) a)) REDUCED to normal form. ------ 74389/6200949. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 74390/6200985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 74391/6201012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 74392/6201075. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 74393/6201102. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 74394/6201129. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 7. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 74395/6201156. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 74396/6201183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 74397/6201210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 74398/6201237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 74399/6201264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 74400/6201336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74401/6201354. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74402/6201435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 74403/6201633. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a)) b)) REDUCED to normal form. ------ 74404/6201678. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 5. ==[ beta ]==> (c ((^y.y) a)) 6. ==[ alpha ]==> (c ((^x.x) a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 74405/6201732. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 74406/6201741. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 74407/6201768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z)) b)) 5. ==[ beta ]==> ((^y.b)((^z.(z z)) b)) 6. ==[ alpha ]==> ((^x.b)((^y.(y y)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74408/6201813. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 74409/6201876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.z))) REDUCED to normal form. ------ 74410/6201930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 74411/6201966. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 74412/6201993. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 74413/6202020. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 74414/6202047. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 74415/6202074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 74416/6202128. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 74417/6202155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 74418/6202182. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(y y)))) REDUCED to normal form. ------ 74419/6202227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74420/6202236. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 74421/6202263. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 74422/6202434. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 74423/6202542. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74424/6202551. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 74425/6202578. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y) b)) 3. ==[ beta ]==> ((b a)((^y.y) b)) 4. ==[ alpha ]==> ((b a)((^x.x) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 74426/6202596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b a)) 3. ==[ beta ]==> (((^y.y) b)(b a)) 4. ==[ alpha ]==> (((^x.x) b)(b a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 74427/6202605. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 74428/6202623. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 74429/6202632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 74430/6202677. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 74431/6202779. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74432/6204579. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.a))) 3. ==[ beta ]==> ((^y.(^z.a)) b) 4. ==[ alpha ]==> ((^x.(^y.a)) b) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 74433/6208359. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74434/6208776. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y))) b) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 74435/6208800. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74436/6208845. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 74437/6208881. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74438/6208884. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74439/6208926. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^z.(^x1.x1))) b)(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 74440/6209043. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.a))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 74441/6209208. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 74442/6209217. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 74443/6209532. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74444/6209610. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74445/6209736. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74446/6209829. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 74447/6210423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74448/6210501. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 74449/6210684. ------ 1. ==[ start ]==> ((a (a b))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.a))) REDUCED to normal form. ------ 74450/6210693. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z a))) 3. ==[ beta ]==> ((^y.b)(^z.(z a))) 4. ==[ alpha ]==> ((^x.b)(^y.(y a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74451/6210972. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 74452/6211275. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(^x1.(^y1.y1)))(((^z.z)(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 74453/6212403. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 74454/6212706. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.(y y)))) 3. ==[ eta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 74455/6212799. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))(^y.b)) a) 4. ==[ beta ]==> (((^y.b)(^y.b)) a) 5. ==[ alpha ]==> (((^x.b)(^y.b)) a) 6. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74456/6212988. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.y))) 3. ==[ beta ]==> ((b a)(^y.(^z.y))) 4. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 74457/6213159. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((a a) a))) REDUCED to normal form. ------ 74458/6213255. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74459/6213543. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^x1.(^y1.y1)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74460/6213933. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74461/6213942. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 74462/6214146. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74463/6214275. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.d)) 3. ==[ beta ]==> (((^y.y)(a b))(^z.d)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.d)) 5. ==[ beta ]==> ((a b)(^y.d)) 6. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 74464/6214461. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74465/6214464. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> ((a b)(^y.(^z.a))) 4. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 74466/6214473. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 74467/6214635. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 74468/6214743. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74469/6214752. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 74470/6214779. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a a))) 3. ==[ beta ]==> ((b a)(^y.(a a))) 4. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 74471/6214797. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74472/6214824. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(a a))) 3. ==[ beta ]==> ((^y.y)(^y1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 74473/6214833. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.b)) REDUCED to normal form. ------ 74474/6214878. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 74475/6214908. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 74476/6214935. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74477/6214953. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74478/6214962. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74479/6214989. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 74480/6215007. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) a)) 3. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 74481/6215034. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 74482/6215043. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74483/6215124. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74484/6215151. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 74485/6215232. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 74486/6215268. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (b a))) REDUCED to normal form. ------ 74487/6215295. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 74488/6215313. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 74489/6215322. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 74490/6215349. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) REDUCED to normal form. ------ 74491/6215376. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 74492/6215484. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 74493/6215565. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 74494/6215592. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 74495/6215610. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 74496/6215619. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 74497/6215637. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 74498/6215718. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74499/6215736. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 74500/6215763. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 74501/6215817. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.b)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.b)) REDUCED to normal form. ------ 74502/6215844. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 74503/6215853. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74504/6215880. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74505/6215934. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 74506/6216069. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 74507/6216249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 74508/6216402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (b ((^y.y)((a a) a))) 8. ==[ alpha ]==> (b ((^x.x)((a a) a))) 9. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 74509/6216429. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(a b))) REDUCED to normal form. ------ 74510/6216483. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 74511/6216510. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 74512/6216528. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 74513/6216609. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 74514/6216627. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 74515/6216654. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 74516/6216708. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 74517/6216735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 74518/6216798. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.b)((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74519/6216879. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.a))) IRREDUCIBLE: cycle. ------ 74520/6216960. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74521/6216987. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a b)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 74522/6217014. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74523/6217050. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 74524/6217077. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 74525/6217104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74526/6217131. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 74527/6217158. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))((a b) a)) REDUCED to normal form. ------ 74528/6217356. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 74529/6217383. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 74530/6217392. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74531/6217419. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74532/6217473. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74533/6217554. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74534/6217635. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74535/6217770. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74536/6217779. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 74537/6217806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 74538/6217869. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 74539/6217896. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b) c)) 3. ==[ beta ]==> ((a ((a a) a))((^y.b) c)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b) c)) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 74540/6217995. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 74541/6218094. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74542/6218229. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74543/6218310. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 74544/6218337. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74545/6218391. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 74546/6218472. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74547/6218481. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a b))) REDUCED to normal form. ------ 74548/6218508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 74549/6218535. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(a a))) REDUCED to normal form. ------ 74550/6218733. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)(^y.y))) 3. ==[ beta ]==> (((a b) a)((a b)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a b)(^x.x))) REDUCED to normal form. ------ 74551/6218760. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 74552/6218787. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 74553/6218814. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 74554/6218904. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a b))) 5. ==[ beta ]==> (b ((^z.z)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 74555/6218985. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74556/6219048. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(c (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 74557/6219093. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 74558/6219156. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 74559/6219183. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 74560/6219237. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 74561/6219255. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 74562/6219264. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 74563/6219363. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 74564/6219381. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 74565/6219408. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 74566/6219462. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a) a)) REDUCED to normal form. ------ 74567/6219489. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y)) b)) 7. ==[ beta ]==> (((a a) a)((^y.y) b)) 8. ==[ alpha ]==> (((a a) a)((^x.x) b)) 9. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 74568/6219642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74569/6219651. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 74570/6219741. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 74571/6219822. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 74572/6219930. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74573/6219957. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74574/6219984. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74575/6220038. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 74576/6220047. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 74577/6220074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.b)((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74578/6220119. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 74579/6220128. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 74580/6220155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 74581/6220227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74582/6220254. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 74583/6220272. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 74584/6220299. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a)) a)) REDUCED to normal form. ------ 74585/6220326. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 74586/6220407. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 74587/6220434. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) b)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 74588/6220533. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c b)) 3. ==[ beta ]==> ((^y.(^z.z))(c b)) 4. ==[ alpha ]==> ((^x.(^y.y))(c b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74589/6220542. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 74590/6220569. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.a))) 3. ==[ beta ]==> ((a b)((a a)(^y.a))) 4. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 74591/6220578. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 74592/6220605. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74593/6220740. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 74594/6220848. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74595/6220857. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (a (^z.z)))) REDUCED to normal form. ------ 74596/6220884. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(a a))) 3. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 74597/6220902. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 74598/6220911. ------ 1. ==[ start ]==> (((a a)(^b.b))(b a)) 2. ==[ alpha ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 74599/6220929. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74600/6220938. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a b)) REDUCED to normal form. ------ 74601/6220983. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 74602/6227205. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74603/6227217. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x) b)(^z.z)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74604/6227541. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 74605/6227709. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((((a a) a)((a a) a))(((a a) a)((a a) a)))) REDUCED to normal form. ------ 74606/6227865. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 74607/6227934. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74608/6228162. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 74609/6228468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 74610/6228492. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(a a))) 3. ==[ beta ]==> ((((b a)(a a))((b a)(a a)))((b a)(a a))) REDUCED to normal form. ------ 74611/6228756. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 74612/6228825. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 74613/6229017. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74614/6229809. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 74615/6230061. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 74616/6230274. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)((^z.z)(a a)))((a a)((^z.z)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a a)((^x.x)(a a)))((a a)((^y.y)(a a))))(^z.z)) 5. ==[ beta ]==> ((((a a)(a a))((a a)((^y.y)(a a))))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))((a a)((^x.x)(a a))))(^y.y)) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(^y.y)) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 74617/6230511. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 74618/6230727. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 74619/6231123. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.b))) 5. ==[ beta ]==> (b (^z.(^x1.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 74620/6231510. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 74621/6231579. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74622/6231867. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 74623/6232266. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74624/6232401. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 74625/6232470. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74626/6232626. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 74627/6232785. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74628/6232797. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 74629/6232959. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 74630/6233076. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 74631/6233121. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.z)) 3. ==[ beta ]==> (((^y.y) b)(^z.z)) 4. ==[ alpha ]==> (((^x.x) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74632/6233130. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 74633/6233157. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a a))) REDUCED to normal form. ------ 74634/6233202. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 74635/6233250. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (a ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 74636/6233277. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(b a))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 74637/6233295. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74638/6233304. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74639/6233322. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 74640/6233331. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 74641/6233358. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74642/6233376. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74643/6233385. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 74644/6233403. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 74645/6233466. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 74646/6233520. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74647/6233628. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74648/6233655. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 74649/6233673. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 74650/6233745. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 74651/6233772. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 74652/6233799. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 74653/6233826. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 74654/6233952. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74655/6233979. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 74656/6234006. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 74657/6234024. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 74658/6234051. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 74659/6234141. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((b b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 74660/6234186. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74661/6234267. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74662/6234276. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 74663/6234303. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 74664/6234321. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 5. ==[ beta ]==> ((^y.y)((b a) b)) 6. ==[ alpha ]==> ((^x.x)((b a) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 74665/6234384. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 74666/6234411. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 74667/6234555. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (b a))) REDUCED to normal form. ------ 74668/6234582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 74669/6234609. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(a a))) REDUCED to normal form. ------ 74670/6234645. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74671/6234816. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 74672/6234870. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74673/6234942. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 74674/6235113. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74675/6235275. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 74676/6235302. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 74677/6235329. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 74678/6235383. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74679/6235482. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a)) c)) 3. ==[ beta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 74680/6235527. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 74681/6235554. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 74682/6235581. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 74683/6235608. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (a b))) REDUCED to normal form. ------ 74684/6235635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a ((a (^y.y))((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((a (^x.x))((^y.y)(a a)))) 9. ==[ beta ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 74685/6235662. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 74686/6235725. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74687/6235752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 74688/6235806. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74689/6235887. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 74690/6235896. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 74691/6235923. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 74692/6235941. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 74693/6235950. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 74694/6235968. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 74695/6235977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 74696/6236031. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 74697/6236058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74698/6236085. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 74699/6236112. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 74700/6236139. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74701/6236175. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 74702/6236202. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a a))) REDUCED to normal form. ------ 74703/6236229. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 74704/6236256. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 74705/6236283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 74706/6236310. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 74707/6236328. ------ 1. ==[ start ]==> (((^a.b) c)(d (^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.a))) 3. ==[ beta ]==> (b (d (^y.a))) 4. ==[ alpha ]==> (b (d (^x.a))) REDUCED to normal form. ------ 74708/6236337. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 74709/6236364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 74710/6236391. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 74711/6236427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74712/6236562. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 74713/6236571. ------ 1. ==[ start ]==> (((a b) c)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 74714/6236598. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 74715/6236625. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 74716/6236643. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 74717/6236670. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 74718/6236679. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 74719/6236706. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 74720/6236760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74721/6236787. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 74722/6236814. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 74723/6236841. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 74724/6236904. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 74725/6236931. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 8. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 9. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 74726/6236958. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 74727/6236985. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.x))) REDUCED to normal form. ------ 74728/6237012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 9. ==[ beta ]==> ((a (^y.y))((a a) a)) 10. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 74729/6237039. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 74730/6237237. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.b))) 5. ==[ beta ]==> (b ((a a)(^z.b))) 6. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 74731/6237318. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 74732/6237381. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 74733/6237453. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74734/6237507. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 74735/6237570. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 74736/6237597. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 74737/6237624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.b))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 74738/6237696. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.a))) REDUCED to normal form. ------ 74739/6237930. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 74740/6237984. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 74741/6237993. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74742/6238155. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 74743/6238263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74744/6238272. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 74745/6238290. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 74746/6238299. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 74747/6238317. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) c)) 5. ==[ beta ]==> (((^y.y) a) c) 6. ==[ alpha ]==> (((^x.x) a) c) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 74748/6238380. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 74749/6238452. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (b ((^x1.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74750/6238461. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 74751/6238488. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 74752/6238515. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 74753/6238560. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74754/6238569. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 74755/6238587. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 74756/6238713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y) a))) 5. ==[ beta ]==> ((a b)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 7. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 74757/6238740. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 74758/6238767. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 74759/6238794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 74760/6238821. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 74761/6238866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74762/6238902. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(b c)) 3. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 74763/6238911. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 74764/6238938. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74765/6239073. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 74766/6239181. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74767/6239190. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 74768/6239217. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.y))) 3. ==[ beta ]==> ((b a)(b (^y.y))) 4. ==[ alpha ]==> ((b a)(b (^x.x))) REDUCED to normal form. ------ 74769/6239235. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 74770/6239244. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 74771/6239262. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74772/6239271. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 74773/6239316. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 74774/6239342. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74775/6239343. ------ 1. ==[ start ]==> (a ((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 74776/6245466. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74777/6245493. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))((a a)(^z.z)))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 74778/6245520. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 74779/6245568. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 74780/6245577. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 74781/6245601. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^z.z)(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74782/6245790. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74783/6245910. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 74784/6245961. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 74785/6246411. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74786/6246513. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74787/6246819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 74788/6247356. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74789/6247743. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.(((a b)((^z.z) a))((a b)((^z.z) a)))) 4. ==[ alpha ]==> (^x.(((a b)((^y.y) a))((a b)((^z.z) a)))) 5. ==[ beta ]==> (^x.(((a b) a)((a b)((^z.z) a)))) 6. ==[ alpha ]==> (^x.(((a b) a)((a b)((^y.y) a)))) 7. ==[ beta ]==> (^x.(((a b) a)((a b) a))) REDUCED to normal form. ------ 74790/6248412. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74791/6248625. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((b (^z.(a a)))(b (^z.(a a))))(^y.y)) 4. ==[ alpha ]==> (((b (^x.(a a)))(b (^y.(a a))))(^z.z)) REDUCED to normal form. ------ 74792/6249303. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 74793/6249381. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ eta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 74794/6249690. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 74795/6250032. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((a a) a))) REDUCED to normal form. ------ 74796/6250821. ------ 1. ==[ start ]==> ((^a.(^b.b))(c c)) 2. ==[ alpha ]==> ((^x.(^y.y))(c c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74797/6250869. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a (a a)))) REDUCED to normal form. ------ 74798/6250977. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 74799/6251136. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74800/6251310. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 74801/6251427. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.b)) REDUCED to normal form. ------ 74802/6251472. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a a))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 74803/6251481. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74804/6251553. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 74805/6251592. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74806/6251619. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 74807/6251646. ------ 1. ==[ start ]==> ((a b)((^b.a)(b a))) 2. ==[ alpha ]==> ((a b)((^x.a)(b a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 74808/6251664. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 74809/6251691. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 74810/6251700. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 74811/6251718. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74812/6251727. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 74813/6251745. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 74814/6251772. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a) c)) REDUCED to normal form. ------ 74815/6251862. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 74816/6251916. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 74817/6252006. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (b (a (^y.(^z.z))))) 6. ==[ alpha ]==> (a (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 74818/6252033. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 74819/6252042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 74820/6252069. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 74821/6252087. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 74822/6252195. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 74823/6252222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 74824/6252276. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 74825/6252303. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 74826/6252330. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 74827/6252366. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 74828/6252393. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 74829/6252456. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 74830/6252483. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 74831/6252501. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 74832/6252537. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 74833/6252636. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 74834/6252663. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (a ((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 74835/6252690. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 74836/6252834. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74837/6252861. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 74838/6252888. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 74839/6252942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74840/6253005. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 74841/6253059. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(a (a a)))) 5. ==[ beta ]==> (a ((a b)(a (a a)))) REDUCED to normal form. ------ 74842/6253140. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(a b))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a b))) REDUCED to normal form. ------ 74843/6253167. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 74844/6253221. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(b a))) 7. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 74845/6253257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74846/6253284. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 74847/6253320. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 74848/6253347. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 74849/6253401. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 74850/6253428. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 7. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 74851/6253455. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 74852/6253473. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 74853/6253482. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 74854/6253761. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 74855/6253842. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 74856/6253851. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 74857/6253869. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a b) a)) REDUCED to normal form. ------ 74858/6254022. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 74859/6254256. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 74860/6254310. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 74861/6254337. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) b)) REDUCED to normal form. ------ 74862/6254751. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 74863/6254931. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) c)(a (^y.a))) 4. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 74864/6254958. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 74865/6254985. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(a a)))) REDUCED to normal form. ------ 74866/6255039. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b) b)) REDUCED to normal form. ------ 74867/6255066. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a) c)) 3. ==[ beta ]==> ((a (^y.b))(((a a) a) c)) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a) c)) REDUCED to normal form. ------ 74868/6255165. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 74869/6255228. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 74870/6255399. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 74871/6255426. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.(a a)))) 3. ==[ beta ]==> (((a b) a)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(a a)))) REDUCED to normal form. ------ 74872/6255453. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 74873/6255507. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 74874/6255786. ------ 1. ==[ start ]==> (((^a.a)(b a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b ((a a) a))) 3. ==[ beta ]==> ((b a)(b ((a a) a))) REDUCED to normal form. ------ 74875/6255813. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 74876/6255849. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 74877/6255867. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 8. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 74878/6255876. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 74879/6255948. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 74880/6256011. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 74881/6256074. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(b a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a)(b a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 74882/6256101. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 74883/6256128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 74884/6256155. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b))((a a) a)) REDUCED to normal form. ------ 74885/6256209. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 74886/6256236. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 74887/6256263. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 74888/6256290. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 74889/6256353. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74890/6256434. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 74891/6256632. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 74892/6256659. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a)) b)) REDUCED to normal form. ------ 74893/6256731. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 74894/6256767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74895/6256812. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 74896/6256821. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 74897/6256929. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 74898/6256947. ------ 1. ==[ start ]==> ((a (^b.b))(c c)) 2. ==[ alpha ]==> ((a (^x.x))(c c)) REDUCED to normal form. ------ 74899/6256965. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 74900/6256992. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 74901/6257019. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 74902/6257046. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 74903/6257073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 74904/6257100. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 74905/6257181. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 74906/6257226. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74907/6257235. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 74908/6257262. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 74909/6257271. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 74910/6257433. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 74911/6257541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74912/6257550. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a) b)) REDUCED to normal form. ------ 74913/6257577. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 74914/6257595. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(a a))) 3. ==[ beta ]==> (((^y.y) b)((a a)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 74915/6257604. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 74916/6257622. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 74917/6257631. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) REDUCED to normal form. ------ 74918/6257676. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 74919/6257711. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(x x)))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.(x x)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(x x)))) 5. ==[ beta ]==> (^x.(^z.(x x))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 74920/6257712. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 74921/6263838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a))) a) 3. ==[ beta ]==> (((^y.y)(^z.(a a))) a) 4. ==[ alpha ]==> (((^x.x)(^y.(a a))) a) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74922/6263844. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 74923/6263853. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74924/6263934. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74925/6263979. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((((^z.z) b) a)(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b) a)(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 74926/6264096. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 74927/6264288. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74928/6264297. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 74929/6264594. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 74930/6264789. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74931/6265221. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1))) a)((^y.(^z.(^x1.x1))) a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a))((^x2.(^y2.(^z2.z2))) a)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a))((^x2.(^y2.(^z2.z2))) a)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1))) a))((^z1.(^x2.(^y2.y2))) a)) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.(^y2.y2))) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 10. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74932/6265485. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(b a))) REDUCED to normal form. ------ 74933/6265554. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 74934/6265734. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 74935/6266052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.a)) b) 4. ==[ beta ]==> (((^y.y)(^z.a)) b) 5. ==[ alpha ]==> (((^x.x)(^y.a)) b) 6. ==[ beta ]==> ((^y.a) b) 7. ==[ alpha ]==> ((^x.a) b) 8. ==[ beta ]==> a REDUCED to normal form. ------ 74936/6266295. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 74937/6266328. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(^x1.x1))(((a a)(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 74938/6266556. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 74939/6267042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74940/6267258. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 74941/6267483. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 74942/6267759. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 74943/6268068. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 74944/6268239. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 74945/6268308. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74946/6268410. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.a))) REDUCED to normal form. ------ 74947/6268590. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74948/6268878. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74949/6269022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 74950/6269130. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a (a a)))) REDUCED to normal form. ------ 74951/6269199. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74952/6269247. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 74953/6269514. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 74954/6269553. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)(^z1.((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 74955/6269688. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74956/6269832. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 74957/6269859. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 74958/6269877. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 74959/6269931. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 74960/6269967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 74961/6269979. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 74962/6269988. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 74963/6270015. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 74964/6270042. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(b a))) 3. ==[ beta ]==> ((a a)((^y.a)(b a))) 4. ==[ alpha ]==> ((a a)((^x.a)(b a))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 74965/6270069. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 74966/6270087. ------ 1. ==[ start ]==> (((a a)(a a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 74967/6270114. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 74968/6270123. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74969/6270150. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74970/6270231. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 74971/6270312. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 74972/6270393. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 74973/6270402. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 74974/6270420. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74975/6270429. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 74976/6270456. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 74977/6270564. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((a b)(^y.y))) 6. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 74978/6270645. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 74979/6270672. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 74980/6270699. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 74981/6270717. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 74982/6270726. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 74983/6270771. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 74984/6270816. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 74985/6270843. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(y y)))) REDUCED to normal form. ------ 74986/6270870. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 74987/6270924. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(^z.b)) 8. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 74988/6270933. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74989/6270960. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 74990/6271014. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 74991/6271068. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 74992/6271149. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 74993/6271356. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 74994/6271482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (((a a) a)(^y.y))) 8. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 74995/6271509. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 74996/6271563. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 74997/6271590. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 74998/6271617. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(b a))) REDUCED to normal form. ------ 74999/6271689. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 75000/6271707. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.a))) REDUCED to normal form.