Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 75001/6271734. ------ 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 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(z z)))) REDUCED to normal form. ------ 75002/6271761. ------ 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. ------ 75003/6271815. ------ 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 a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 75004/6271842. ------ 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. ------ 75005/6271869. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 75006/6271878. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75007/6272040. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 75008/6272067. ------ 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. ------ 75009/6272094. ------ 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. ------ 75010/6272130. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 75011/6272157. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 75012/6272184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a (b a))) 5. ==[ beta ]==> ((^y.a)(a (b a))) 6. ==[ alpha ]==> ((^x.a)(a (b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 75013/6272211. ------ 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. ------ 75014/6272238. ------ 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)(^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 75015/6272427. ------ 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. ------ 75016/6272463. ------ 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))) REDUCED to normal form. ------ 75017/6272472. ------ 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. ------ 75018/6272499. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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 a) REDUCED to normal form. ------ 75019/6272553. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.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. ------ 75020/6272634. ------ 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) REDUCED to normal form. ------ 75021/6272688. ------ 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. ------ 75022/6272715. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 75023/6272769. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 11. ==[ beta ]==> ((^y.b)(^z.a)) 12. ==[ alpha ]==> ((^x.b)(^y.a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 75024/6272850. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 75025/6272949. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 75026/6272976. ------ 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. ------ 75027/6273003. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b) c)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 75028/6273075. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 75029/6273174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 75030/6273309. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 75031/6273390. ------ 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. ------ 75032/6273417. ------ 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))(^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. ------ 75033/6273552. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 75034/6273561. ------ 1. ==[ start ]==> (((a b)(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 75035/6273588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 75036/6273615. ------ 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))(^y.y))(a (a a))) REDUCED to normal form. ------ 75037/6273651. ------ 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. ------ 75038/6273840. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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. ------ 75039/6273867. ------ 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. ------ 75040/6273894. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^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. ------ 75041/6273984. ------ 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. ------ 75042/6274065. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.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. ------ 75043/6274173. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^c.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. ------ 75044/6274200. ------ 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)((^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. ------ 75045/6274236. ------ 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. ------ 75046/6274263. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 75047/6274317. ------ 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. ------ 75048/6274335. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^b.(^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. ------ 75049/6274344. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 75050/6274371. ------ 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. ------ 75051/6274443. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^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. ------ 75052/6274461. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 75053/6274488. ------ 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 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 75054/6274515. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^b.(^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. ------ 75055/6274542. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.a))) REDUCED to normal form. ------ 75056/6274569. ------ 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. ------ 75057/6274596. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^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. ------ 75058/6274623. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a)) c)) REDUCED to normal form. ------ 75059/6274722. ------ 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. ------ 75060/6274821. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.(z z)))) 5. ==[ beta ]==> ((a a)(c (^z.(z z)))) 6. ==[ alpha ]==> ((a a)(c (^x.(x x)))) REDUCED to normal form. ------ 75061/6274902. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75062/6275010. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75063/6275037. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^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. ------ 75064/6275064. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 75065/6275118. ------ 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 y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 75066/6275127. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (a (a a)))) REDUCED to normal form. ------ 75067/6275154. ------ 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. ------ 75068/6275208. ------ 1. ==[ start ]==> (((a b)(^b.(^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. ------ 75069/6275235. ------ 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.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 75070/6275262. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a (a a)))) REDUCED to normal form. ------ 75071/6275307. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 75072/6275334. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 75073/6275352. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 75074/6275379. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 75075/6275406. ------ 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. ------ 75076/6275433. ------ 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)) 5. ==[ beta ]==> (((a (a a))(a a))(a b)) REDUCED to normal form. ------ 75077/6275460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y)) c)) 5. ==[ beta ]==> ((a b)((a (^y.y)) c)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 75078/6275514. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 75079/6275541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 75080/6275622. ------ 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. ------ 75081/6275649. ------ 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 b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 75082/6275658. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 75083/6275685. ------ 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.x2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((^x2.x2) 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. ------ 75084/6275820. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 75085/6275928. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75086/6275937. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (a a))) REDUCED to normal form. ------ 75087/6275964. ------ 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. ------ 75088/6275982. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.z))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 75089/6275991. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 75090/6276009. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 75091/6276018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b a)) REDUCED to normal form. ------ 75092/6276063. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 75093/6276099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75094/6277488. ------ 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))))(^y.(^z.z)))(^x2.(x2 (^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(^y1.y1)))(^z1.(z1 (^x2.(^y2.y2))))) 7. ==[ beta ]==> (((^x1.(^y1.y1))(^y.(^z.z)))(^z1.(z1 (^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 9. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 11. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 75095/6280863. ------ 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)(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75096/6282234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75097/6282258. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75098/6282339. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75099/6282378. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y)) a)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 75100/6282702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 75101/6282744. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75102/6282843. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((^y.y)(^z.z)))(((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)))((a b)((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> (((a b)(^y.y))(((a b)((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> (((a b)(^x.x))(((a b)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> (((a b)(^x.x))(((a b)(^z.z))((a b)((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)((^z.z)(^x1.x1))))) 9. ==[ beta ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)(^x1.x1)))) 10. ==[ alpha ]==> (((a b)(^x.x))(((a b)(^y.y))((a b)(^z.z)))) REDUCED to normal form. ------ 75103/6283026. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(^b.b))) 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. ------ 75104/6283068. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 75105/6283323. ------ 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. ------ 75106/6283626. ------ 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. ------ 75107/6283629. ------ 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. ------ 75108/6283917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75109/6283959. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75110/6284526. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.(((^z.(a a)) c)((^z.(a a)) c))) 4. ==[ alpha ]==> (^x.(((^y.(a a)) c)((^z.(a a)) c))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a)) c))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a)) c))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 75111/6284709. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 75112/6284970. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 75113/6285222. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 75114/6285408. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((a (^z.z))(a b))((a (^z.z))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a b))((a (^y.y))(a b)))(^z.z)) REDUCED to normal form. ------ 75115/6285888. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 75116/6286086. ------ 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))) REDUCED to normal form. ------ 75117/6286671. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 75118/6286713. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75119/6286995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^c.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. ------ 75120/6287001. ------ 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. ------ 75121/6287004. ------ 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. ------ 75122/6287292. ------ 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)(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 75123/6287427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^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. ------ 75124/6287604. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^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. ------ 75125/6287787. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 75126/6287886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 75127/6287919. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75128/6288237. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^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. ------ 75129/6288282. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.b)) 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. ------ 75130/6288291. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 75131/6288372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^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. ------ 75132/6288402. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 75133/6288411. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^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 (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75134/6288438. ------ 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. ------ 75135/6288465. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 75136/6288483. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 75137/6288492. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75138/6288519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 75139/6288537. ------ 1. ==[ start ]==> (((^a.a)(^a.(^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. ------ 75140/6288546. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(^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. ------ 75141/6288564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) 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. ------ 75142/6288573. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 75143/6288591. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a) c)) 3. ==[ beta ]==> ((a (^y.y))((b a) c)) 4. ==[ alpha ]==> ((a (^x.x))((b a) c)) REDUCED to normal form. ------ 75144/6288681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 75145/6288762. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 75146/6288816. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 75147/6288843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 75148/6288888. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 75149/6288906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 75150/6288933. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 75151/6288960. ------ 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)))) 5. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 75152/6288987. ------ 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. ------ 75153/6289140. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75154/6289167. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (^b.b))) 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. ------ 75155/6289185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(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))) REDUCED to normal form. ------ 75156/6289194. ------ 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. ------ 75157/6289212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75158/6289302. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 75159/6289347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 75160/6289374. ------ 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.(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. ------ 75161/6289437. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 75162/6289464. ------ 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. ------ 75163/6289482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) 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. ------ 75164/6289491. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75165/6289509. ------ 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. ------ 75166/6289545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^b.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. ------ 75167/6289572. ------ 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 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 75168/6289599. ------ 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. ------ 75169/6289743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (b a))) 3. ==[ beta ]==> (((^y.y)(a a))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (b a))) 5. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 75170/6289770. ------ 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. ------ 75171/6290058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75172/6290103. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 75173/6290274. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75174/6290292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75175/6290373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z)) b)) IRREDUCIBLE: cycle. ------ 75176/6290436. ------ 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. ------ 75177/6290463. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 75178/6290490. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 75179/6290544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 75180/6290643. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(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. ------ 75181/6290670. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 75182/6290688. ------ 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. ------ 75183/6290715. ------ 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. ------ 75184/6290742. ------ 1. ==[ start ]==> ((((^a.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)(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^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 (^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. ------ 75185/6290769. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 75186/6290796. ------ 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. ------ 75187/6290823. ------ 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. ------ 75188/6290841. ------ 1. ==[ start ]==> (((^a.b) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 75189/6290850. ------ 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. ------ 75190/6290886. ------ 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 a) REDUCED to normal form. ------ 75191/6290913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 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. ------ 75192/6290967. ------ 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. ------ 75193/6291048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.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. ------ 75194/6291057. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 75195/6291084. ------ 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. ------ 75196/6291111. ------ 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. ------ 75197/6291129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((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. ------ 75198/6291138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 75199/6291183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 9. ==[ beta ]==> ((^y.y)((a b) c)) 10. ==[ alpha ]==> ((^x.x)((a b) c)) 11. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 75200/6291192. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 75201/6291246. ------ 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. ------ 75202/6291273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 75203/6291300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 75204/6291336. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 75205/6291363. ------ 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. ------ 75206/6291390. ------ 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. ------ 75207/6291417. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 75208/6291444. ------ 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. ------ 75209/6291471. ------ 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. ------ 75210/6291498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 75211/6291525. ------ 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. ------ 75212/6291552. ------ 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. ------ 75213/6291723. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^b.(^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. ------ 75214/6291732. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) c)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b) c)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b) c)(^y.y)) 10. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 75215/6291759. ------ 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. ------ 75216/6291786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 75217/6291804. ------ 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. ------ 75218/6291831. ------ 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. ------ 75219/6291840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(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 a)) REDUCED to normal form. ------ 75220/6291867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 75221/6291921. ------ 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 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75222/6291948. ------ 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. ------ 75223/6291975. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 75224/6292002. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 75225/6292029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 75226/6292065. ------ 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. ------ 75227/6292092. ------ 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. ------ 75228/6292119. ------ 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. ------ 75229/6292146. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 75230/6292173. ------ 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) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 11. ==[ beta ]==> (a ((^y.y)(^z.z))) 12. ==[ alpha ]==> (a ((^x.x)(^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75231/6292200. ------ 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. ------ 75232/6292227. ------ 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. ------ 75233/6292398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^c.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. ------ 75234/6292479. ------ 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. ------ 75235/6292542. ------ 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 z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 75236/6292668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.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. ------ 75237/6292758. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 75238/6292785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^c.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. ------ 75239/6292812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 75240/6292857. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 75241/6293145. ------ 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. ------ 75242/6293316. ------ 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. ------ 75243/6293424. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^b.(^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. ------ 75244/6293433. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) 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. ------ 75245/6293451. ------ 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. ------ 75246/6293460. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^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. ------ 75247/6293478. ------ 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)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 75248/6293541. ------ 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 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. ------ 75249/6293568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^b.(^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. ------ 75250/6293613. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 75251/6293676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(z z)))) REDUCED to normal form. ------ 75252/6293721. ------ 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. ------ 75253/6293730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a a))) REDUCED to normal form. ------ 75254/6293748. ------ 1. ==[ start ]==> ((a (^b.b))(((^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. ------ 75255/6293874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (a (^y.y)))) 5. ==[ beta ]==> ((a b)(c (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 75256/6293901. ------ 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. ------ 75257/6293928. ------ 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. ------ 75258/6293955. ------ 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))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 75259/6293982. ------ 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)(^x.x)) a)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 75260/6294027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 75261/6294063. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(c b)) 3. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 75262/6294072. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 75263/6294099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.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. ------ 75264/6294234. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 75265/6294342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75266/6294351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 75267/6294378. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^a.(^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. ------ 75268/6294396. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 75269/6294405. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 75270/6294423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 75271/6294432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 75272/6294477. ------ 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. ------ 75273/6294513. ------ 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 a) REDUCED to normal form. ------ 75274/6294669. ------ 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 ]==> ((^z.z)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75275/6295911. ------ 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)))(^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. ------ 75276/6299286. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^c.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. ------ 75277/6300657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a))) c) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75278/6300708. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^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)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(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. ------ 75279/6300735. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75280/6300816. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^z.z)((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.z)) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75281/6300819. ------ 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. ------ 75282/6301176. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75283/6302058. ------ 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))((^y2.y2)(^z2.(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75284/6302061. ------ 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. ------ 75285/6302571. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(a a))) b) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 75286/6302958. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(a (^x1.x1)))(((^z.z)(a a))(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1))))) 5. ==[ beta ]==> (^x.(((a a)(a (^z.z)))(((^x1.x1)(a a))(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a a)(a (^y.y)))(((^z.z)(a a))(a (^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. ------ 75287/6303402. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75288/6303654. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75289/6303879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.((^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. ------ 75290/6304545. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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. ------ 75291/6304596. ------ 1. ==[ start ]==> ((^a.(b a))((^c.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. ------ 75292/6305274. ------ 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. ------ 75293/6305436. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 75294/6305445. ------ 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. ------ 75295/6306111. ------ 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. ------ 75296/6306219. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^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. ------ 75297/6306327. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 75298/6306351. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75299/6306669. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.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. ------ 75300/6306687. ------ 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)))) REDUCED to normal form. ------ 75301/6306723. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 75302/6306768. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 75303/6306804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75304/6306852. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 75305/6306861. ------ 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))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 75306/6306888. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75307/6306933. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 75308/6306942. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 75309/6306960. ------ 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 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. ------ 75310/6306969. ------ 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. ------ 75311/6306987. ------ 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. ------ 75312/6307014. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 75313/6307041. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 75314/6307104. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^b.(^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. ------ 75315/6307131. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 75316/6307275. ------ 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. ------ 75317/6307311. ------ 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. ------ 75318/6307329. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 75319/6307437. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 10. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 75320/6307464. ------ 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) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 75321/6307518. ------ 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)(^y.y))((a (a a))((^z.z)(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. ------ 75322/6307545. ------ 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. ------ 75323/6307572. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 75324/6307635. ------ 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. ------ 75325/6307725. ------ 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 (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 75326/6307743. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 75327/6307752. ------ 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. ------ 75328/6307905. ------ 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. ------ 75329/6307932. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 75330/6307959. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a) b)) REDUCED to normal form. ------ 75331/6307986. ------ 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. ------ 75332/6308103. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^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. ------ 75333/6308130. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 75334/6308157. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^c.(^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. ------ 75335/6308211. ------ 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. ------ 75336/6308247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75337/6308301. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (a (((^z.z)(a a))((^x1.x1) 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. ------ 75338/6308382. ------ 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. ------ 75339/6308409. ------ 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))(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. ------ 75340/6308463. ------ 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)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (^y.y))((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75341/6308526. ------ 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. ------ 75342/6308589. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 75343/6308616. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 75344/6308670. ------ 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. ------ 75345/6308697. ------ 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. ------ 75346/6308715. ------ 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 (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 75347/6308724. ------ 1. ==[ start ]==> ((a (a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 75348/6309084. ------ 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))) REDUCED to normal form. ------ 75349/6309093. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 75350/6309111. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a (^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. ------ 75351/6309291. ------ 1. ==[ start ]==> (((a b)(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 75352/6309498. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b) b)(a (^y.b))) 4. ==[ alpha ]==> (((a b) b)(a (^x.b))) REDUCED to normal form. ------ 75353/6309525. ------ 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. ------ 75354/6309552. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 75355/6309579. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 75356/6309633. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 75357/6309777. ------ 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.(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. ------ 75358/6309804. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 75359/6310029. ------ 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)((^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. ------ 75360/6310173. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 75361/6310200. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^c.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. ------ 75362/6310227. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 75363/6310281. ------ 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. ------ 75364/6310308. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b) b)) 3. ==[ beta ]==> ((a (^y.b))((a b) b)) 4. ==[ alpha ]==> ((a (^x.b))((a b) b)) REDUCED to normal form. ------ 75365/6310668. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.b))) 3. ==[ beta ]==> (((a b) a)(b (^y.b))) 4. ==[ alpha ]==> (((a b) a)(b (^x.b))) REDUCED to normal form. ------ 75366/6310695. ------ 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)))) REDUCED to normal form. ------ 75367/6310722. ------ 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)(^x.x))(a a)) b) REDUCED to normal form. ------ 75368/6310749. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 75369/6311028. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(c (^y.y))) 6. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 75370/6311055. ------ 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. ------ 75371/6311091. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b) a)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 75372/6311109. ------ 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. ------ 75373/6311118. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 75374/6311190. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (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. ------ 75375/6311316. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^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. ------ 75376/6311343. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 75377/6311370. ------ 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 (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 75378/6311397. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((^z.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. ------ 75379/6311424. ------ 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. ------ 75380/6311478. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^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. ------ 75381/6311505. ------ 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 z))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 75382/6311532. ------ 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 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 75383/6311595. ------ 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. ------ 75384/6311676. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 75385/6311874. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75386/6311901. ------ 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. ------ 75387/6312054. ------ 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. ------ 75388/6312063. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 75389/6312090. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 75390/6312171. ------ 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. ------ 75391/6312207. ------ 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) REDUCED to normal form. ------ 75392/6312234. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 75393/6312261. ------ 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. ------ 75394/6312288. ------ 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 y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^y.y))) 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. ------ 75395/6312315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 75396/6312342. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^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. ------ 75397/6312369. ------ 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)(^y.y))((^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. ------ 75398/6312477. ------ 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. ------ 75399/6312504. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a a))) 3. ==[ beta ]==> ((a b)((^y.a)(a a))) 4. ==[ alpha ]==> ((a b)((^x.a)(a a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 75400/6312513. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 75401/6312540. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 75402/6312675. ------ 1. ==[ start ]==> (((^a.b)(^c.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))) REDUCED to normal form. ------ 75403/6312792. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z)) a)) REDUCED to normal form. ------ 75404/6312819. ------ 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. ------ 75405/6312837. ------ 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. ------ 75406/6312846. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 75407/6312864. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 75408/6312873. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 75409/6312918. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 75410/6312954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75411/6312980. ------ 1. ==[ start ]==> (^a.(((a a) a)(^a.b))) 2. ==[ alpha ]==> (^x.(((x x) x)(^y.b))) REDUCED to normal form. ------ 75412/6312981. ------ 1. ==[ start ]==> (a (((a a) a)(^a.b))) 2. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 75413/6319134. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) a) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 75414/6319140. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a) a)(^y.b)) 4. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 75415/6319167. ------ 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 ]==> ((((^y.y)(^z.z))(^x1.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75416/6319194. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 75417/6319230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75418/6319275. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^z.z))(^y.y)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 75419/6319287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((^a.a) b))) 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 ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75420/6319392. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75421/6319620. ------ 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. ------ 75422/6319935. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 75423/6319959. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 75424/6320232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(a (^a.(^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)))) REDUCED to normal form. ------ 75425/6321030. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(a a))) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a))) b) 5. ==[ beta ]==> ((a (^y.(a a))) b) 6. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 75426/6321375. ------ 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. ------ 75427/6321879. ------ 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))) REDUCED to normal form. ------ 75428/6322581. ------ 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 ]==> (^x.(a a)) REDUCED to normal form. ------ 75429/6323055. ------ 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. ------ 75430/6323400. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z b))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y b))) REDUCED to normal form. ------ 75431/6323904. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^c.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. ------ 75432/6324066. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^c.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. ------ 75433/6324201. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((^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. ------ 75434/6324471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^b.(^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. ------ 75435/6324495. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75436/6324678. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.d)) 3. ==[ beta ]==> (((a b)(^y.y))(^z.d)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.d)) REDUCED to normal form. ------ 75437/6324777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.((^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. ------ 75438/6324810. ------ 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. ------ 75439/6325092. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75440/6325101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.c)) REDUCED to normal form. ------ 75441/6325146. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^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. ------ 75442/6325155. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 75443/6325227. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 75444/6325263. ------ 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. ------ 75445/6325290. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 75446/6325302. ------ 1. ==[ start ]==> ((a a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 75447/6325329. ------ 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))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 75448/6325338. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 75449/6325356. ------ 1. ==[ start ]==> ((a b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 75450/6325365. ------ 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)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 75451/6325392. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 75452/6325410. ------ 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))))) REDUCED to normal form. ------ 75453/6325437. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 75454/6325446. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75455/6325473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(^a.a))) 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. ------ 75456/6325500. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 75457/6325554. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 75458/6325635. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 75459/6325662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 75460/6325725. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (b a))) REDUCED to normal form. ------ 75461/6325743. ------ 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))(^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. ------ 75462/6325752. ------ 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. ------ 75463/6325779. ------ 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. ------ 75464/6325815. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 75465/6325887. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 75466/6325968. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a b)((^y.y)(a b))) 6. ==[ alpha ]==> ((a b)((^x.x)(a b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 75467/6325995. ------ 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. ------ 75468/6326022. ------ 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 a)(^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. ------ 75469/6326049. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(b a))) REDUCED to normal form. ------ 75470/6326076. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(a (^a.(^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. ------ 75471/6326094. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 75472/6326121. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 75473/6326139. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 75474/6326166. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 75475/6326193. ------ 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 x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 75476/6326220. ------ 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. ------ 75477/6326256. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75478/6326283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 75479/6326337. ------ 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 REDUCED to normal form. ------ 75480/6326391. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 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. ------ 75481/6326418. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 75482/6326805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a (a a)))) 5. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 75483/6326832. ------ 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. ------ 75484/6326886. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a b))) REDUCED to normal form. ------ 75485/6326913. ------ 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)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 75486/6326940. ------ 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)))) REDUCED to normal form. ------ 75487/6326967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75488/6327030. ------ 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. ------ 75489/6327057. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 75490/6327084. ------ 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 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. ------ 75491/6327111. ------ 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. ------ 75492/6327165. ------ 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. ------ 75493/6327192. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) 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. ------ 75494/6327201. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75495/6327363. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75496/6327390. ------ 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. ------ 75497/6327417. ------ 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. ------ 75498/6327471. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 75499/6327507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.a)(b ((a a)(^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 75500/6327534. ------ 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. ------ 75501/6327561. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 75502/6327597. ------ 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. ------ 75503/6327750. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) 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 (^x.x))(a a))) REDUCED to normal form. ------ 75504/6327822. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75505/6327876. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) 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. ------ 75506/6327957. ------ 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. ------ 75507/6328011. ------ 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. ------ 75508/6328038. ------ 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. ------ 75509/6328092. ------ 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 a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75510/6328173. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 75511/6328326. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 75512/6328353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b) c)) 5. ==[ beta ]==> ((a (a a))((^y.b) c)) 6. ==[ alpha ]==> ((a (a a))((^x.b) c)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 75513/6328398. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 75514/6328497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 75515/6328632. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^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. ------ 75516/6328713. ------ 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. ------ 75517/6328740. ------ 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. ------ 75518/6328794. ------ 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. ------ 75519/6328875. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 75520/6328938. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a b))) REDUCED to normal form. ------ 75521/6328974. ------ 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. ------ 75522/6329001. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b) b)) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 75523/6329028. ------ 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. ------ 75524/6329190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)(^y.y))) REDUCED to normal form. ------ 75525/6329217. ------ 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. ------ 75526/6329307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75527/6329388. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 75528/6329496. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^b.(^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. ------ 75529/6329559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a b))) REDUCED to normal form. ------ 75530/6329586. ------ 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. ------ 75531/6329640. ------ 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. ------ 75532/6329667. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a (a a)))) REDUCED to normal form. ------ 75533/6329694. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 75534/6329721. ------ 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. ------ 75535/6329784. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^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)))) 5. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 75536/6329811. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 75537/6329838. ------ 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 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 75538/6329865. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 75539/6329919. ------ 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. ------ 75540/6329946. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 75541/6330045. ------ 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))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75542/6330225. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^c.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. ------ 75543/6330333. ------ 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 (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(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. ------ 75544/6330360. ------ 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.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 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. ------ 75545/6330387. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 75546/6330441. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 75547/6330450. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(c a)) REDUCED to normal form. ------ 75548/6330477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (a (a a)))) 5. ==[ beta ]==> ((^y.b)(b (a (a a)))) 6. ==[ alpha ]==> ((^x.b)(b (a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75549/6330531. ------ 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. ------ 75550/6330558. ------ 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)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 75551/6330585. ------ 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.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (^z.z)) a)) REDUCED to normal form. ------ 75552/6330630. ------ 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 (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75553/6330657. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 75554/6330675. ------ 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)(^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. ------ 75555/6330702. ------ 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. ------ 75556/6330729. ------ 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)))) REDUCED to normal form. ------ 75557/6330756. ------ 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. ------ 75558/6330783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a) b)) 5. ==[ beta ]==> ((a b)(((^y.y) a) b)) 6. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 75559/6330864. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 75560/6330891. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 75561/6330936. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 75562/6330972. ------ 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. ------ 75563/6330981. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^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 REDUCED to normal form. ------ 75564/6331008. ------ 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))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(a (^y2.y2)))) 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. ------ 75565/6331143. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 75566/6331251. ------ 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)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75567/6331260. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a c)) REDUCED to normal form. ------ 75568/6331287. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (a a))) 3. ==[ beta ]==> ((b a)(b (a a))) REDUCED to normal form. ------ 75569/6331305. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^a.(^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. ------ 75570/6331314. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 75571/6331332. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75572/6331341. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 75573/6331386. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 75574/6331422. ------ 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. ------ 75575/6331449. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 75576/6337611. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) b) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 75577/6337635. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75578/6337782. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 75579/6338106. ------ 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. ------ 75580/6338121. ------ 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. ------ 75581/6338220. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(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)))(((^y.y)(a a))(a (a a))))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((((^y.y)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 5. ==[ beta ]==> (((a a)(a (a a)))((((^y.y)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 6. ==[ alpha ]==> (((a a)(a (a a)))((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a))))) 7. ==[ beta ]==> (((a a)(a (a a)))(((a a)(a (a a)))(((^y.y)(a a))(a (a a))))) 8. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(a (a a)))(((^x.x)(a a))(a (a a))))) 9. ==[ beta ]==> (((a a)(a (a a)))(((a a)(a (a a)))((a a)(a (a a))))) REDUCED to normal form. ------ 75582/6338430. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 75583/6338445. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 75584/6338727. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 75585/6339003. ------ 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. ------ 75586/6339321. ------ 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. ------ 75587/6339336. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75588/6339903. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) b)((^z.(^x1.x1)) b))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) b))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) b))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) b)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) b)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75589/6340110. ------ 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. ------ 75590/6340365. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^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. ------ 75591/6340374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 75592/6340626. ------ 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. ------ 75593/6340785. ------ 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. ------ 75594/6341076. ------ 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)))(^z.(a a))) REDUCED to normal form. ------ 75595/6341301. ------ 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. ------ 75596/6341886. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^a.b))) 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. ------ 75597/6342090. ------ 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. ------ 75598/6342378. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b ((^x1.x1)(^y1.y1)))(^y.(^z.z))) 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))) REDUCED to normal form. ------ 75599/6342696. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((^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. ------ 75600/6342966. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 75601/6342981. ------ 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. ------ 75602/6343191. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 75603/6343587. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 75604/6343632. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.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. ------ 75605/6343641. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75606/6343749. ------ 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. ------ 75607/6343776. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 75608/6343806. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 75609/6343833. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(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. ------ 75610/6343842. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 75611/6343869. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 75612/6343896. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75613/6343923. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 75614/6343941. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 75615/6343950. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a a) b)((^y.y) b)) 4. ==[ alpha ]==> (((a a) b)((^x.x) b)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 75616/6343968. ------ 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)(((^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. ------ 75617/6343977. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(^a.a))) 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. ------ 75618/6343995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 75619/6344004. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75620/6344022. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 75621/6344085. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 75622/6344166. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 75623/6344247. ------ 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))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 75624/6344274. ------ 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. ------ 75625/6344292. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 75626/6344310. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^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))) REDUCED to normal form. ------ 75627/6344337. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 75628/6344364. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 75629/6344391. ------ 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. ------ 75630/6344544. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 75631/6344571. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75632/6344598. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 75633/6344616. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 75634/6344706. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 75635/6344751. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75636/6344778. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 75637/6344841. ------ 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) REDUCED to normal form. ------ 75638/6344868. ------ 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. ------ 75639/6344886. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 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. ------ 75640/6344895. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75641/6344913. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 75642/6344922. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 75643/6345003. ------ 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. ------ 75644/6345174. ------ 1. ==[ start ]==> ((a ((a a) a))(b (b a))) REDUCED to normal form. ------ 75645/6345210. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75646/6345264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (a ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) c)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 75647/6345435. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 75648/6345489. ------ 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. ------ 75649/6345507. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(^y.y))) REDUCED to normal form. ------ 75650/6345678. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 75651/6345696. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75652/6345777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) a)) IRREDUCIBLE: cycle. ------ 75653/6345840. ------ 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. ------ 75654/6345867. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 75655/6345894. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 75656/6345948. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 75657/6345975. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 75658/6346002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^c.(^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. ------ 75659/6346074. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 75660/6346092. ------ 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. ------ 75661/6346119. ------ 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. ------ 75662/6346146. ------ 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. ------ 75663/6346173. ------ 1. ==[ start ]==> (((a (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)(^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. ------ 75664/6346200. ------ 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. ------ 75665/6346227. ------ 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. ------ 75666/6346245. ------ 1. ==[ start ]==> (((^a.b) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 75667/6346254. ------ 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 (^x.x))(a a))) REDUCED to normal form. ------ 75668/6346281. ------ 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. ------ 75669/6346317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((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)) REDUCED to normal form. ------ 75670/6346371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.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. ------ 75671/6346452. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^c.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. ------ 75672/6346461. ------ 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. ------ 75673/6346488. ------ 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. ------ 75674/6346506. ------ 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. ------ 75675/6346515. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.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. ------ 75676/6346533. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 75677/6346542. ------ 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. ------ 75678/6346587. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a)) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a)) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 11. ==[ beta ]==> (((^y.y)(a a)) b) 12. ==[ alpha ]==> (((^x.x)(a a)) b) 13. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 75679/6346596. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 75680/6346623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.a))) 7. ==[ beta ]==> (((^y.b)(^z.a))((^y.b)(^z.a))) 8. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 9. ==[ beta ]==> (b ((^z.b)(^x1.a))) 10. ==[ alpha ]==> (b ((^x.b)(^y.a))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75681/6346650. ------ 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. ------ 75682/6346677. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^b.(^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. ------ 75683/6346767. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b (a a))) REDUCED to normal form. ------ 75684/6346794. ------ 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. ------ 75685/6346821. ------ 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. ------ 75686/6346848. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 75687/6346875. ------ 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. ------ 75688/6346902. ------ 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 (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 75689/6346929. ------ 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. ------ 75690/6346956. ------ 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. ------ 75691/6347127. ------ 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 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. ------ 75692/6347136. ------ 1. ==[ start ]==> (((a b) c)((^b.(^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. ------ 75693/6347163. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) b)(^y.y)) 12. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 75694/6347190. ------ 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. ------ 75695/6347208. ------ 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. ------ 75696/6347235. ------ 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)(^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. ------ 75697/6347244. ------ 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. ------ 75698/6347271. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(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 a)) REDUCED to normal form. ------ 75699/6347289. ------ 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. ------ 75700/6347325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^b.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. ------ 75701/6347352. ------ 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. ------ 75702/6347379. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 75703/6347406. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 75704/6347433. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.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. ------ 75705/6347469. ------ 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. ------ 75706/6347496. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(a a))) REDUCED to normal form. ------ 75707/6347523. ------ 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. ------ 75708/6347550. ------ 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. ------ 75709/6347577. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 75710/6347604. ------ 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. ------ 75711/6347631. ------ 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. ------ 75712/6347658. ------ 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. ------ 75713/6347802. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^b.(^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. ------ 75714/6347883. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 75715/6347946. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^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. ------ 75716/6348054. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.b)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 75717/6348072. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.b) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.b) a)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 75718/6348189. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^b.(^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. ------ 75719/6348216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 75720/6348261. ------ 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. ------ 75721/6348540. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^b.(^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. ------ 75722/6348549. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 75723/6348639. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z)) c)) 5. ==[ beta ]==> ((a a)((^z.(z z)) c)) 6. ==[ alpha ]==> ((a a)((^x.(x x)) c)) 7. ==[ beta ]==> ((a a)(c c)) REDUCED to normal form. ------ 75724/6348828. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75725/6348837. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 75726/6348855. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^b.(^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. ------ 75727/6348864. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 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. ------ 75728/6348882. ------ 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. ------ 75729/6348945. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 75730/6348972. ------ 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 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 75731/6349017. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75732/6349080. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 75733/6349134. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 75734/6349152. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 75735/6349197. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c c)) REDUCED to normal form. ------ 75736/6349332. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 75737/6349359. ------ 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. ------ 75738/6349386. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 75739/6349431. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 75740/6349440. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a) a)) REDUCED to normal form. ------ 75741/6349476. ------ 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. ------ 75742/6349503. ------ 1. ==[ start ]==> (((^a.(^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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.(^y2.y2)))) 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. ------ 75743/6349638. ------ 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)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75744/6349746. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75745/6349755. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.z))) REDUCED to normal form. ------ 75746/6349782. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 75747/6349800. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a) b)) 3. ==[ beta ]==> (((^y.y) b)((a a) b)) 4. ==[ alpha ]==> (((^x.x) b)((a a) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 75748/6349809. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 75749/6349827. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) 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. ------ 75750/6349836. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.y1))) REDUCED to normal form. ------ 75751/6349881. ------ 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)(^y.y))((a a)(^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 75752/6349917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75753/6349944. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 75754/6349961. ------ 1. ==[ start ]==> (^a.((^a.b)((a a) a))) 2. ==[ alpha ]==> (^x.((^y.b)((x x) x))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 75755/6349962. ------ 1. ==[ start ]==> (a ((^a.b)((a a) a))) 2. ==[ alpha ]==> (a ((^x.b)((a a) a))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 75756/6350460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75757/6355635. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75758/6356115. ------ 1. ==[ start ]==> ((((a a) a)(^a.b)) c) 2. ==[ alpha ]==> ((((a a) a)(^x.b)) c) REDUCED to normal form. ------ 75759/6356133. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) a) 2. ==[ alpha ]==> (((^x.b)((a a) a)) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75760/6356139. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 3. ==[ beta ]==> ((^y.b)((a a) a)) 4. ==[ alpha ]==> ((^x.b)((a a) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75761/6356193. ------ 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 REDUCED to normal form. ------ 75762/6356274. ------ 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 ]==> (((^z.(^x1.x1))(a (^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.y)(^y1.y1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75763/6356295. ------ 1. ==[ start ]==> (((a a) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 75764/6356463. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.a))) 3. ==[ eta ]==> ((^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. ------ 75765/6356634. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75766/6356637. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 75767/6357084. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75768/6357240. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 75769/6357555. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75770/6358029. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((^y.(y y))(a b)) b) 4. ==[ alpha ]==> (((^x.(x x))(a b)) b) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 75771/6358392. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(b y))) 3. ==[ eta ]==> (((^x.b)(a a)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75772/6358416. ------ 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)))) REDUCED to normal form. ------ 75773/6358623. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.(^x1.x1)))(b (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 75774/6358635. ------ 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. ------ 75775/6358887. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75776/6359139. ------ 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. ------ 75777/6359589. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 75778/6359814. ------ 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. ------ 75779/6360030. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 75780/6360054. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(a a))) 3. ==[ eta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75781/6360417. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y b))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y b))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x b))) REDUCED to normal form. ------ 75782/6360759. ------ 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. ------ 75783/6360891. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^b.(^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. ------ 75784/6361065. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75785/6361362. ------ 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 (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75786/6361596. ------ 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)))) REDUCED to normal form. ------ 75787/6361704. ------ 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 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. ------ 75788/6361809. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 75789/6361812. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 75790/6361983. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75791/6362100. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75792/6362154. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.b)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 75793/6362172. ------ 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))) REDUCED to normal form. ------ 75794/6362262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 75795/6362289. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 75796/6362307. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 75797/6362319. ------ 1. ==[ start ]==> ((a a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 75798/6362337. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.b))) 3. ==[ beta ]==> (a (((a a) a)(^y.b))) 4. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 75799/6362364. ------ 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)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 75800/6362373. ------ 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)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 75801/6362427. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(b a))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 75802/6362445. ------ 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)((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. ------ 75803/6362454. ------ 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. ------ 75804/6362472. ------ 1. ==[ start ]==> (((a a) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 75805/6362499. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 75806/6362526. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 75807/6362553. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) c)) REDUCED to normal form. ------ 75808/6362616. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 75809/6362643. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 75810/6362814. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 75811/6362922. ------ 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 (a a)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (a a)))) 9. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 75812/6362949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 75813/6363003. ------ 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)(^y.y))(((^z.z)(^x1.x1))(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. ------ 75814/6363030. ------ 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. ------ 75815/6363057. ------ 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 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. ------ 75816/6363111. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(a (^a.(^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. ------ 75817/6363156. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(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. ------ 75818/6363228. ------ 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 z)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((b b)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((b b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 75819/6363237. ------ 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. ------ 75820/6363264. ------ 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 (^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. ------ 75821/6363363. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^c.(^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. ------ 75822/6363417. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 75823/6363444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 75824/6363471. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a) b)) 3. ==[ beta ]==> ((a (^y.a))((b a) b)) 4. ==[ alpha ]==> ((a (^x.a))((b a) b)) REDUCED to normal form. ------ 75825/6363561. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 75826/6363615. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 75827/6363642. ------ 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.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 75828/6363669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^c.(^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. ------ 75829/6363732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75830/6363786. ------ 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)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.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. ------ 75831/6363867. ------ 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. ------ 75832/6363894. ------ 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. ------ 75833/6363948. ------ 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)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 75834/6364101. ------ 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.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. ------ 75835/6364128. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 75836/6364182. ------ 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. ------ 75837/6364200. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(^y.b))) 3. ==[ beta ]==> (b ((a (a a))(^y.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 75838/6364209. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a (a b))((a b)(a b))) REDUCED to normal form. ------ 75839/6364362. ------ 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. ------ 75840/6364569. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 75841/6364596. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 75842/6364776. ------ 1. ==[ start ]==> (((a b)(a a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(a a)))) REDUCED to normal form. ------ 75843/6364803. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^c.(^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. ------ 75844/6364812. ------ 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. ------ 75845/6364983. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 75846/6365010. ------ 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. ------ 75847/6365037. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 75848/6365064. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75849/6365118. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 75850/6365145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b) c)) 5. ==[ beta ]==> ((^y.(y y))((a b) c)) 6. ==[ alpha ]==> ((^x.(x x))((a b) c)) 7. ==[ beta ]==> (((a b) c)((a b) c)) REDUCED to normal form. ------ 75851/6365262. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 75852/6365289. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 75853/6365415. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75854/6365514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((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. ------ 75855/6365658. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b) c)(^y.(y y))) 6. ==[ alpha ]==> (((a b) c)(^x.(x x))) REDUCED to normal form. ------ 75856/6365685. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^b.(^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. ------ 75857/6365766. ------ 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. ------ 75858/6365793. ------ 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. ------ 75859/6365847. ------ 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. ------ 75860/6365991. ------ 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. ------ 75861/6366153. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^c.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. ------ 75862/6366180. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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. ------ 75863/6366207. ------ 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. ------ 75864/6366234. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(a a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 75865/6366468. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) b) c) REDUCED to normal form. ------ 75866/6366594. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (a b))) 3. ==[ beta ]==> (((a b)(a b))(a (a b))) REDUCED to normal form. ------ 75867/6366603. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 75868/6366657. ------ 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. ------ 75869/6366675. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (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. ------ 75870/6366801. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 75871/6366828. ------ 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))(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. ------ 75872/6366855. ------ 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.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 75873/6366882. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 75874/6366909. ------ 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. ------ 75875/6366936. ------ 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. ------ 75876/6366963. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.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. ------ 75877/6366990. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^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. ------ 75878/6367017. ------ 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 z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 75879/6367071. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^b.(^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. ------ 75880/6367080. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75881/6367161. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 75882/6367242. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)((^x1.x1)(^y1.y1)))) 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. ------ 75883/6367359. ------ 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 x1)))) REDUCED to normal form. ------ 75884/6367386. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75885/6367467. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a c)) REDUCED to normal form. ------ 75886/6367539. ------ 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)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 75887/6367548. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 75888/6367575. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 75889/6367602. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 75890/6367647. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 75891/6367692. ------ 1. ==[ start ]==> (((a a)(a (^a.(^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. ------ 75892/6367719. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 75893/6367746. ------ 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) 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. ------ 75894/6367773. ------ 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. ------ 75895/6367800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 75896/6367827. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^a.(^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. ------ 75897/6367854. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 75898/6367881. ------ 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 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. ------ 75899/6367953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 75900/6367962. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.a))) REDUCED to normal form. ------ 75901/6367989. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(y y)))) 3. ==[ beta ]==> ((a b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 75902/6368160. ------ 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))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 75903/6368268. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(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. ------ 75904/6368277. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 75905/6368304. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) 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. ------ 75906/6368322. ------ 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. ------ 75907/6368331. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 75908/6368349. ------ 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. ------ 75909/6368358. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 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. ------ 75910/6368403. ------ 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)(^y.y))((a a)(^y.y)))(b a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 75911/6368439. ------ 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. ------ 75912/6368466. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 75913/6368484. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 75914/6368492. ------ 1. ==[ start ]==> (^a.((a b)(^c.a))) 2. ==[ alpha ]==> (^x.((x b)(^y.x))) REDUCED to normal form. ------ 75915/6368493. ------ 1. ==[ start ]==> (a ((a b)(^c.a))) 2. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 75916/6368991. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(^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. ------ 75917/6369315. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 75918/6370206. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75919/6372960. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75920/6373851. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75921/6374664. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) b) 2. ==[ alpha ]==> (((^x.b)((a a) a)) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 75922/6374673. ------ 1. ==[ start ]==> (((a b)(^c.a)) a) 2. ==[ alpha ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 75923/6374679. ------ 1. ==[ start ]==> ((^a.a)((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 75924/6374688. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75925/6374706. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(^y.b))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 75926/6374733. ------ 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 REDUCED to normal form. ------ 75927/6374769. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 75928/6374814. ------ 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 ]==> (((a (^z.z))(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 75929/6374853. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^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. ------ 75930/6375174. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 75931/6375177. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 75932/6375498. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 75933/6375501. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75934/6375624. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75935/6375798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(a (^a.(^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)))) REDUCED to normal form. ------ 75936/6376095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75937/6376389. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 75938/6376392. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 75939/6376569. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(^y.b)) b) 4. ==[ alpha ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 75940/6376662. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(z a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(z a))) IRREDUCIBLE: cycle. ------ 75941/6376941. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(b y))) 3. ==[ eta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 75942/6378594. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(^y.y))) 3. ==[ eta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 75943/6378768. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.(y y))) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 75944/6378957. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.b))) 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. ------ 75945/6378966. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y b))) REDUCED to normal form. ------ 75946/6379143. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 75947/6379146. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 75948/6379767. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((^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. ------ 75949/6379902. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^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. ------ 75950/6379911. ------ 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)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 75951/6380034. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75952/6380037. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 75953/6380361. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 75954/6380523. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^b.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. ------ 75955/6380667. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.c)) 3. ==[ beta ]==> ((b a)(^y.c)) 4. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 75956/6380712. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^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. ------ 75957/6380721. ------ 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)))) REDUCED to normal form. ------ 75958/6380766. ------ 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)(^y.y))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 75959/6380802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.b)) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 75960/6380829. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 75961/6380847. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 75962/6380856. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 75963/6380868. ------ 1. ==[ start ]==> ((a a)((a b)(^c.a))) 2. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 75964/6380877. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 75965/6380895. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 75966/6380922. ------ 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)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 75967/6380931. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 75968/6380958. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 75969/6381003. ------ 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. ------ 75970/6381012. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 75971/6381039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 75972/6381066. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(^a.a))) 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. ------ 75973/6381093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 75974/6381201. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 75975/6381345. ------ 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. ------ 75976/6381363. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 75977/6381381. ------ 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)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 75978/6381408. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 75979/6381453. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(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. ------ 75980/6381534. ------ 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. ------ 75981/6381561. ------ 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. ------ 75982/6381588. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 75983/6381615. ------ 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 a)(^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. ------ 75984/6381642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 75985/6381660. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 75986/6381669. ------ 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. ------ 75987/6381687. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 75988/6381705. ------ 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))) REDUCED to normal form. ------ 75989/6381732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b 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. ------ 75990/6381759. ------ 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))) REDUCED to normal form. ------ 75991/6381786. ------ 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. ------ 75992/6381813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 75993/6381822. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 75994/6381903. ------ 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 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(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. ------ 75995/6381957. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(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. ------ 75996/6381984. ------ 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 (^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. ------ 75997/6382281. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 75998/6382371. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> (b (((^x.x)(a 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. ------ 75999/6382398. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 76000/6382452. ------ 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. ------ 76001/6382479. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 76002/6382506. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 76003/6382533. ------ 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))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76004/6382560. ------ 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. ------ 76005/6382578. ------ 1. ==[ start ]==> ((a (^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76006/6382596. ------ 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. ------ 76007/6382623. ------ 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)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76008/6382650. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 76009/6382677. ------ 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 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. ------ 76010/6382704. ------ 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. ------ 76011/6382758. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.b))) REDUCED to normal form. ------ 76012/6382767. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76013/6382848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(b a))) IRREDUCIBLE: cycle. ------ 76014/6382929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 76015/6382956. ------ 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. ------ 76016/6383037. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 76017/6383073. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)(c ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)(c ((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 76018/6383100. ------ 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. ------ 76019/6383127. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (b a))) REDUCED to normal form. ------ 76020/6383163. ------ 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. ------ 76021/6383190. ------ 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. ------ 76022/6383316. ------ 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. ------ 76023/6383361. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^c.(^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 a) REDUCED to normal form. ------ 76024/6383442. ------ 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))(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. ------ 76025/6383523. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76026/6383577. ------ 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. ------ 76027/6383604. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 76028/6383739. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 76029/6383919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) b)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 76030/6383946. ------ 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. ------ 76031/6383964. ------ 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. ------ 76032/6383973. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a) d)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 76033/6384063. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(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. ------ 76034/6384198. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 76035/6384279. ------ 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. ------ 76036/6384306. ------ 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))(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. ------ 76037/6384360. ------ 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. ------ 76038/6384441. ------ 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 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. ------ 76039/6384567. ------ 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)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 76040/6384594. ------ 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. ------ 76041/6384783. ------ 1. ==[ start ]==> ((a (b a))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.x))) REDUCED to normal form. ------ 76042/6384873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (b ((^z.(z z))(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. ------ 76043/6384954. ------ 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. ------ 76044/6385062. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 76045/6385089. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^b.(^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. ------ 76046/6385125. ------ 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. ------ 76047/6385143. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b)(a b))(^y.b)) 6. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 76048/6385152. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (a b))) REDUCED to normal form. ------ 76049/6385206. ------ 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. ------ 76050/6385233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (a a)) a)) REDUCED to normal form. ------ 76051/6385260. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 76052/6385287. ------ 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)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 76053/6385332. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 76054/6385350. ------ 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. ------ 76055/6385377. ------ 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.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^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)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 76056/6385404. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 76057/6385431. ------ 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 y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 76058/6385458. ------ 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. ------ 76059/6385512. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 76060/6385539. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 76061/6385629. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^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. ------ 76062/6385791. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^b.(^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. ------ 76063/6385899. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76064/6385926. ------ 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 (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. ------ 76065/6385953. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 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. ------ 76066/6386007. ------ 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 z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 76067/6386043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z) a))) 5. ==[ beta ]==> ((^y.b)(c ((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)(c ((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76068/6386088. ------ 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 ((^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. ------ 76069/6386097. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(^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. ------ 76070/6386124. ------ 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. ------ 76071/6386151. ------ 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)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (a (^z.z)))) REDUCED to normal form. ------ 76072/6386196. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 76073/6386205. ------ 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)))) REDUCED to normal form. ------ 76074/6386223. ------ 1. ==[ start ]==> ((a (^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76075/6386241. ------ 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. ------ 76076/6386268. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76077/6386295. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 76078/6386322. ------ 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. ------ 76079/6386349. ------ 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. ------ 76080/6386376. ------ 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. ------ 76081/6386403. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 76082/6386457. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 76083/6386502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 76084/6386547. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 76085/6386574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 76086/6386709. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^b.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. ------ 76087/6386817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76088/6386826. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b b)) REDUCED to normal form. ------ 76089/6386853. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(a c)) 3. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 76090/6386871. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 76091/6386880. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 76092/6386898. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76093/6386907. ------ 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. ------ 76094/6386952. ------ 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)(^y.y))((a a)(^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76095/6386988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a b)) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76096/6387015. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a a))) REDUCED to normal form. ------ 76097/6387033. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 76098/6387042. ------ 1. ==[ start ]==> (((a b)(^c.a))(a a)) 2. ==[ alpha ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 76099/6392724. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.((^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. ------ 76100/6393222. ------ 1. ==[ start ]==> (((^a.b)((a a) a)) c) 2. ==[ alpha ]==> (((^x.b)((a a) a)) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 76101/6393231. ------ 1. ==[ start ]==> (((a b)(^c.a)) b) 2. ==[ alpha ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 76102/6393255. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76103/6393429. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76104/6393498. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((b a) c)) 3. ==[ beta ]==> (^y.((b a) c)) 4. ==[ alpha ]==> (^x.((b a) c)) REDUCED to normal form. ------ 76105/6393762. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 76106/6393840. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(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))(((a a)(^y.y))((^z.z) a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((((a a)(^z.z))((^x1.x1) a))(((a a)(^y1.y1))((^z1.z1) a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^z.z))((^x1.x1) a))(((a a)(^y1.y1))((^z1.z1) a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((((a a)(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^x1.x1))((^y1.y1) a)))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^z.z))((^x1.x1) a)))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)((((a a)(^y.y)) a)(((a a)(^z.z)) a))) REDUCED to normal form. ------ 76107/6394374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 76108/6395730. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))((^x1.x1)(a a)))((a (^z.z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a))))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 76109/6396273. ------ 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)))) REDUCED to normal form. ------ 76110/6396405. ------ 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 ]==> ((((a (a a))((^z.z)(^x1.x1)))((a (a a))((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(^z.z)) REDUCED to normal form. ------ 76111/6396723. ------ 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))(^y.(a a))) REDUCED to normal form. ------ 76112/6396948. ------ 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)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 76113/6397335. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^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. ------ 76114/6397533. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 76115/6398334. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^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. ------ 76116/6398478. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76117/6398838. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z (z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (y y)))) REDUCED to normal form. ------ 76118/6398916. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76119/6398919. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.((^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. ------ 76120/6399090. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76121/6399234. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(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)))) REDUCED to normal form. ------ 76122/6399288. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 76123/6399333. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.b)) 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. ------ 76124/6399369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a a))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76125/6399396. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 76126/6399414. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 76127/6399423. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76128/6399453. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 76129/6399462. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a) a))) 3. ==[ beta ]==> (a ((^y.b)((a a) a))) 4. ==[ alpha ]==> (a ((^x.b)((a a) a))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 76130/6399480. ------ 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. ------ 76131/6399507. ------ 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)((^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. ------ 76132/6399516. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^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))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 76133/6399543. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 76134/6399570. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 76135/6399588. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76136/6399597. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 76137/6399615. ------ 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 a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 76138/6399624. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 76139/6399642. ------ 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. ------ 76140/6399651. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(^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. ------ 76141/6399669. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 76142/6399678. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 76143/6399696. ------ 1. ==[ start ]==> ((a (^b.a))((b a) c)) 2. ==[ alpha ]==> ((a (^x.a))((b a) c)) REDUCED to normal form. ------ 76144/6399732. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 76145/6399813. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 76146/6399840. ------ 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. ------ 76147/6399867. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 76148/6399921. ------ 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. ------ 76149/6399957. ------ 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))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 76150/6399984. ------ 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)))(a a))) REDUCED to normal form. ------ 76151/6400011. ------ 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. ------ 76152/6400038. ------ 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. ------ 76153/6400245. ------ 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. ------ 76154/6400353. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 76155/6400398. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 76156/6400479. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(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. ------ 76157/6400488. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a)) b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 76158/6400515. ------ 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. ------ 76159/6400542. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 76160/6400560. ------ 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.(^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. ------ 76161/6400569. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76162/6400596. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76163/6400614. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a) b)) REDUCED to normal form. ------ 76164/6401325. ------ 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. ------ 76165/6401343. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76166/6401487. ------ 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. ------ 76167/6401505. ------ 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 (((^z.z)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 76168/6401514. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 76169/6401541. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 76170/6401595. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 76171/6401622. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 76172/6401649. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 76173/6401739. ------ 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. ------ 76174/6401766. ------ 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. ------ 76175/6401793. ------ 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.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 76176/6401820. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 76177/6401847. ------ 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) a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (a (((^x.x)(^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 ((^y.y)(^z.z))) 12. ==[ alpha ]==> (a ((^x.x)(^y.y))) 13. ==[ beta ]==> (a (^y.y)) 14. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 76178/6401874. ------ 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. ------ 76179/6401901. ------ 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. ------ 76180/6401928. ------ 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 (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. ------ 76181/6402018. ------ 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 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. ------ 76182/6402099. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 76183/6402108. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 76184/6402135. ------ 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. ------ 76185/6402153. ------ 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. ------ 76186/6402162. ------ 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) REDUCED to normal form. ------ 76187/6402180. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((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. ------ 76188/6402189. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.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. ------ 76189/6402234. ------ 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)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 11. ==[ beta ]==> (((a a)(^y.y)) a) 12. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 76190/6402243. ------ 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)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76191/6402270. ------ 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 a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76192/6402297. ------ 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. ------ 76193/6402324. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 76194/6402351. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^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. ------ 76195/6402414. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a b))) REDUCED to normal form. ------ 76196/6402441. ------ 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. ------ 76197/6402468. ------ 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. ------ 76198/6402495. ------ 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. ------ 76199/6402522. ------ 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. ------ 76200/6402549. ------ 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. ------ 76201/6402576. ------ 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. ------ 76202/6402603. ------ 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. ------ 76203/6402774. ------ 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. ------ 76204/6402783. ------ 1. ==[ start ]==> (((a b) c)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 76205/6402810. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^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. ------ 76206/6402837. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 10. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76207/6402882. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 76208/6402891. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a 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. ------ 76209/6402918. ------ 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. ------ 76210/6402936. ------ 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. ------ 76211/6402972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76212/6403026. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 76213/6403053. ------ 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 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. ------ 76214/6403080. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^c.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. ------ 76215/6403116. ------ 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. ------ 76216/6403143. ------ 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)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 76217/6403170. ------ 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. ------ 76218/6403197. ------ 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. ------ 76219/6403224. ------ 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.x2) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 11. ==[ beta ]==> ((^y.y)((^z.z) a)) 12. ==[ alpha ]==> ((^x.x)((^y.y) a)) 13. ==[ beta ]==> ((^y.y) a) 14. ==[ alpha ]==> ((^x.x) a) 15. ==[ beta ]==> a REDUCED to normal form. ------ 76220/6403251. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 76221/6403278. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a b) a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a b) a)(a (^y.y))) 8. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 76222/6403305. ------ 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. ------ 76223/6403332. ------ 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. ------ 76224/6403449. ------ 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 z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 76225/6403530. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 76226/6403593. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.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. ------ 76227/6403701. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^c.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. ------ 76228/6403728. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.b)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.b)) REDUCED to normal form. ------ 76229/6403800. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^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. ------ 76230/6404187. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76231/6404286. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^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. ------ 76232/6404475. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76233/6404484. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 76234/6404502. ------ 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 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 76235/6404511. ------ 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 (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. ------ 76236/6404529. ------ 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)(^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. ------ 76237/6404583. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a)) b)) 7. ==[ beta ]==> (((a a)(a a))((a (a a)) b)) REDUCED to normal form. ------ 76238/6404592. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 76239/6404619. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76240/6404673. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^b.(^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. ------ 76241/6404781. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 76242/6404979. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 76243/6405006. ------ 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. ------ 76244/6405033. ------ 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. ------ 76245/6405078. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 76246/6405087. ------ 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))(a (^x1.x1)))) REDUCED to normal form. ------ 76247/6405114. ------ 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 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. ------ 76248/6405150. ------ 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. ------ 76249/6405285. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 76250/6405393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76251/6405402. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 76252/6405429. ------ 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. ------ 76253/6405447. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y)) a)) 5. ==[ beta ]==> (b ((a (^y.y)) a)) 6. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 76254/6405456. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 76255/6405474. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 76256/6405483. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 76257/6405528. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 76258/6405564. ------ 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 a) REDUCED to normal form. ------ 76259/6405591. ------ 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)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 76260/6405609. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 76261/6405618. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 76262/6405635. ------ 1. ==[ start ]==> (^a.((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 76263/6405636. ------ 1. ==[ start ]==> (a ((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 76264/6406458. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(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. ------ 76265/6407349. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76266/6407916. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.(x x))) b) 4. ==[ beta ]==> (^y.(b b)) 5. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 76267/6409554. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(y y)))) 3. ==[ eta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 76268/6410994. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76269/6411816. ------ 1. ==[ start ]==> (((a b)(^c.a)) c) 2. ==[ alpha ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 76270/6411840. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76271/6411867. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((a a) a))) 3. ==[ beta ]==> (((^y.b)((a a) a))((^y.b)((a a) a))) 4. ==[ alpha ]==> (((^x.b)((a a) a))((^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. ------ 76272/6411894. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76273/6411975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((^z.a)(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(b a))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 76274/6412164. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 76275/6412335. ------ 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. ------ 76276/6412356. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(^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. ------ 76277/6412659. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 76278/6412662. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 76279/6412680. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 76280/6412785. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76281/6413217. ------ 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. ------ 76282/6413550. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76283/6413553. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(b a))) REDUCED to normal form. ------ 76284/6413571. ------ 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. ------ 76285/6413730. ------ 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. ------ 76286/6414117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (b a))) 3. ==[ beta ]==> (^y.((a (b a))(a (b a)))) 4. ==[ alpha ]==> (^x.((a (b a))(a (b a)))) REDUCED to normal form. ------ 76287/6414120. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 76288/6414363. ------ 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))) REDUCED to normal form. ------ 76289/6414867. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^c.(^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. ------ 76290/6415317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^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. ------ 76291/6415542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 76292/6415755. ------ 1. ==[ start ]==> ((^a.(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(a a)))) 3. ==[ eta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 76293/6415758. ------ 1. ==[ start ]==> ((a (b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 76294/6416304. ------ 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. ------ 76295/6416325. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.b))) REDUCED to normal form. ------ 76296/6416487. ------ 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. ------ 76297/6416592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.a)(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 76298/6417195. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76299/6417198. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 76300/6417216. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76301/6417324. ------ 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)))) REDUCED to normal form. ------ 76302/6417432. ------ 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 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. ------ 76303/6417510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76304/6417522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.((^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. ------ 76305/6417684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(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. ------ 76306/6417828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^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. ------ 76307/6417846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 76308/6417963. ------ 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 a) REDUCED to normal form. ------ 76309/6417990. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 76310/6418008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(y y))) 3. ==[ beta ]==> (b (^y.(y y))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 76311/6418017. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 76312/6418047. ------ 1. ==[ start ]==> ((a a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76313/6418065. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 3. ==[ beta ]==> (a ((a b)(^y.a))) 4. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 76314/6418074. ------ 1. ==[ start ]==> ((a (a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.b)((a a) a))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 76315/6418092. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 76316/6418101. ------ 1. ==[ start ]==> ((a b)((^c.a)(a b))) 2. ==[ alpha ]==> ((a b)((^x.a)(a b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 76317/6418119. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^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. ------ 76318/6418146. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^c.(^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. ------ 76319/6418155. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 76320/6418182. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 76321/6418200. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76322/6418227. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 76323/6418254. ------ 1. ==[ start ]==> (((a a)(^a.(^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. ------ 76324/6418281. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 76325/6418371. ------ 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 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. ------ 76326/6418542. ------ 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. ------ 76327/6418560. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 76328/6418650. ------ 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.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 76329/6418677. ------ 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 (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. ------ 76330/6418731. ------ 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)(^y.y))(((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. ------ 76331/6418758. ------ 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. ------ 76332/6418785. ------ 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)(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. ------ 76333/6418839. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 76334/6418866. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 76335/6418884. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 76336/6418911. ------ 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)))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 76337/6418956. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 76338/6418992. ------ 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 (^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. ------ 76339/6419091. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 76340/6419172. ------ 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.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76341/6419199. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^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)) REDUCED to normal form. ------ 76342/6419226. ------ 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. ------ 76343/6419289. ------ 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 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. ------ 76344/6419316. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^b.(^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. ------ 76345/6419370. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^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. ------ 76346/6419397. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76347/6419424. ------ 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. ------ 76348/6419460. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 76349/6419514. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(a a))) 5. ==[ beta ]==> (a ((b a)(a a))) REDUCED to normal form. ------ 76350/6419550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (b ((^y.(^z.z)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 76351/6419595. ------ 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. ------ 76352/6419622. ------ 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) 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. ------ 76353/6419676. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a b))) 7. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 76354/6419757. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(b a))) REDUCED to normal form. ------ 76355/6419775. ------ 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. ------ 76356/6419856. ------ 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.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. ------ 76357/6419883. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 76358/6419928. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^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. ------ 76359/6419937. ------ 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. ------ 76360/6420090. ------ 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. ------ 76361/6420117. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b) a)((a a) c)) REDUCED to normal form. ------ 76362/6420297. ------ 1. ==[ start ]==> (((^a.b)(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 76363/6420324. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (b a))) REDUCED to normal form. ------ 76364/6420540. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76365/6420567. ------ 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. ------ 76366/6420711. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 76367/6420765. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 76368/6420792. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 76369/6420846. ------ 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)) REDUCED to normal form. ------ 76370/6420873. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((((^y.y)(a a)) b)(((^y.y)(a a)) b)) 8. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) b)) 9. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) b)) 10. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 11. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 76371/6420900. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b) c)) REDUCED to normal form. ------ 76372/6421017. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 76373/6421044. ------ 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. ------ 76374/6421143. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 76375/6421242. ------ 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. ------ 76376/6421386. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.a))) REDUCED to normal form. ------ 76377/6421413. ------ 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 x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a) b)(^y.(y y))) 8. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 76378/6421440. ------ 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. ------ 76379/6421494. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 76380/6421521. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 76381/6421575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76382/6421719. ------ 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. ------ 76383/6421746. ------ 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.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^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. ------ 76384/6421935. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.b))) REDUCED to normal form. ------ 76385/6421962. ------ 1. ==[ start ]==> ((a (b a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(a a)))) REDUCED to normal form. ------ 76386/6422196. ------ 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. ------ 76387/6422322. ------ 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. ------ 76388/6422385. ------ 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. ------ 76389/6422403. ------ 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))(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. ------ 76390/6422412. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^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. ------ 76391/6422511. ------ 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. ------ 76392/6422529. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.b))) REDUCED to normal form. ------ 76393/6422583. ------ 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))(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. ------ 76394/6422610. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a b))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))(a b))(a ((^x.x) a))) 7. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 76395/6422637. ------ 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. ------ 76396/6422664. ------ 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.(^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. ------ 76397/6422691. ------ 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. ------ 76398/6422745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^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. ------ 76399/6422799. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 76400/6422889. ------ 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 a))(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(a 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)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76401/6422970. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 76402/6423087. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) 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. ------ 76403/6423114. ------ 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 y1)))) REDUCED to normal form. ------ 76404/6423195. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a)) b)) REDUCED to normal form. ------ 76405/6423222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a) c)) 5. ==[ beta ]==> ((^y.b)(((^z.z) a) c)) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76406/6423267. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 76407/6423303. ------ 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)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 76408/6423330. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 76409/6423375. ------ 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.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. ------ 76410/6423402. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 76411/6423420. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76412/6423447. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(a a))) REDUCED to normal form. ------ 76413/6423474. ------ 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. ------ 76414/6423501. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 76415/6423528. ------ 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. ------ 76416/6423555. ------ 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))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^y.y))) 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. ------ 76417/6423582. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 76418/6423609. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 76419/6423636. ------ 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)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^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. ------ 76420/6423681. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 76421/6423717. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 76422/6423726. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 76423/6423888. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 76424/6424005. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 76425/6424032. ------ 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. ------ 76426/6424050. ------ 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. ------ 76427/6424059. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 76428/6424077. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 76429/6424086. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) b)) REDUCED to normal form. ------ 76430/6424131. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 76431/6424167. ------ 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 a) REDUCED to normal form. ------ 76432/6424194. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a) a)) REDUCED to normal form. ------ 76433/6424212. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 76434/6424221. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 76435/6424247. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.((x x)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((x x)(^y.(^z.z)))) REDUCED to normal form. ------ 76436/6424248. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(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. ------ 76437/6430428. ------ 1. ==[ start ]==> (((a b)(^c.a)) d) 2. ==[ alpha ]==> (((a b)(^x.a)) d) REDUCED to normal form. ------ 76438/6430455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 76439/6430461. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^b.(^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. ------ 76440/6430470. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76441/6430488. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(^y.a))((a b)(^y.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 76442/6430515. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76443/6430551. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76444/6430662. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(a (^y.y)))(^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. ------ 76445/6430713. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 76446/6430956. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 76447/6431280. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 76448/6431406. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76449/6432351. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.a)) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a)) b) 5. ==[ beta ]==> (((^y.y)(^z.a)) b) 6. ==[ alpha ]==> (((^x.x)(^y.a)) b) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 76450/6433254. ------ 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))) REDUCED to normal form. ------ 76451/6433956. ------ 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. ------ 76452/6434925. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^c.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. ------ 76453/6435108. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 76454/6435720. ------ 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)))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 76455/6435816. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76456/6435945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^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. ------ 76457/6436131. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76458/6436170. ------ 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 x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 76459/6436413. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76460/6436467. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.z)))) 5. ==[ beta ]==> (b (^y.(a (^z.z)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 76461/6436476. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 76462/6436611. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.b)) REDUCED to normal form. ------ 76463/6436629. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 76464/6436638. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 76465/6436665. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 76466/6436677. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(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. ------ 76467/6436686. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 76468/6436704. ------ 1. ==[ start ]==> ((a (a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 76469/6436713. ------ 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. ------ 76470/6436731. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 76471/6436767. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76472/6436821. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76473/6436848. ------ 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 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 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. ------ 76474/6436875. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 76475/6436902. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(^a.a))) 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. ------ 76476/6436929. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76477/6436947. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) c)) REDUCED to normal form. ------ 76478/6437010. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 76479/6437037. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^c.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. ------ 76480/6437091. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(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. ------ 76481/6437172. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 76482/6437217. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 76483/6437244. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 76484/6437262. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 76485/6437343. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((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. ------ 76486/6437370. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 76487/6437397. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^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. ------ 76488/6437424. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (a a))(a a))) REDUCED to normal form. ------ 76489/6437451. ------ 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. ------ 76490/6437478. ------ 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. ------ 76491/6437496. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76492/6437541. ------ 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))) REDUCED to normal form. ------ 76493/6437568. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 76494/6437595. ------ 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. ------ 76495/6437622. ------ 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 (^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. ------ 76496/6437631. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 76497/6437658. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 76498/6437712. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^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. ------ 76499/6437766. ------ 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 REDUCED to normal form. ------ 76500/6437793. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 76501/6437847. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 76502/6438180. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 76503/6438207. ------ 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. ------ 76504/6438261. ------ 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) 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. ------ 76505/6438288. ------ 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. ------ 76506/6438315. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 76507/6438342. ------ 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)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76508/6438369. ------ 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. ------ 76509/6438432. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.z))) REDUCED to normal form. ------ 76510/6438459. ------ 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. ------ 76511/6438486. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 76512/6438513. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 76513/6438540. ------ 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. ------ 76514/6438567. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^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. ------ 76515/6438576. ------ 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. ------ 76516/6438657. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 76517/6438738. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^a.(^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. ------ 76518/6438765. ------ 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. ------ 76519/6438792. ------ 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. ------ 76520/6438846. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^c.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. ------ 76521/6438927. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^c.(^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. ------ 76522/6438936. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 76523/6439026. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 76524/6439125. ------ 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. ------ 76525/6439170. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76526/6439197. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(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. ------ 76527/6439251. ------ 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 ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76528/6439332. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.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. ------ 76529/6439386. ------ 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. ------ 76530/6439413. ------ 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 REDUCED to normal form. ------ 76531/6439467. ------ 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. ------ 76532/6439548. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 76533/6439755. ------ 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. ------ 76534/6439773. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 76535/6439782. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b) c)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 76536/6440007. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 76537/6440088. ------ 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. ------ 76538/6440115. ------ 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. ------ 76539/6440169. ------ 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. ------ 76540/6440250. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 76541/6440403. ------ 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. ------ 76542/6440430. ------ 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. ------ 76543/6440682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^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. ------ 76544/6440763. ------ 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. ------ 76545/6440871. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^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. ------ 76546/6440898. ------ 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 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. ------ 76547/6440934. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(c (^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 76548/6440952. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^c.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. ------ 76549/6440961. ------ 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. ------ 76550/6441015. ------ 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. ------ 76551/6441042. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 76552/6441069. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 76553/6441096. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 76554/6441141. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 76555/6441186. ------ 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. ------ 76556/6441213. ------ 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.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(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 (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. ------ 76557/6441240. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 76558/6441267. ------ 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. ------ 76559/6441294. ------ 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 (^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. ------ 76560/6441321. ------ 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. ------ 76561/6441348. ------ 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. ------ 76562/6441375. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 76563/6441438. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76564/6441600. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 76565/6441708. ------ 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))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76566/6441735. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.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. ------ 76567/6441762. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 76568/6441816. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^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. ------ 76569/6441897. ------ 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 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. ------ 76570/6441906. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 76571/6441933. ------ 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)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 76572/6441960. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(a a))) REDUCED to normal form. ------ 76573/6442014. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1)) a)) REDUCED to normal form. ------ 76574/6442032. ------ 1. ==[ start ]==> ((a (^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 76575/6442077. ------ 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. ------ 76576/6442104. ------ 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. ------ 76577/6442131. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(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. ------ 76578/6442158. ------ 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 z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((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. ------ 76579/6442185. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 76580/6442212. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 76581/6442311. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 76582/6442320. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 76583/6442347. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 76584/6442356. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(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. ------ 76585/6442383. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 76586/6442518. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 76587/6442626. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76588/6442635. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c a)) REDUCED to normal form. ------ 76589/6442662. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(b b)) 3. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 76590/6442680. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 76591/6442689. ------ 1. ==[ start ]==> (((a a)(^b.b))(a c)) 2. ==[ alpha ]==> (((a a)(^x.x))(a c)) REDUCED to normal form. ------ 76592/6442707. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 76593/6442716. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a a))) REDUCED to normal form. ------ 76594/6442761. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 76595/6442797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b a)) 5. ==[ beta ]==> ((^y.(a a))(b a)) 6. ==[ alpha ]==> ((^x.(a a))(b a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76596/6442824. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a b)) REDUCED to normal form. ------ 76597/6442842. ------ 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 ((^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. ------ 76598/6442851. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 76599/6442878. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 76600/6446805. ------ 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))) REDUCED to normal form. ------ 76601/6449094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 76602/6449118. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76603/6449199. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76604/6449319. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.a) b))) 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. ------ 76605/6449361. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 76606/6449652. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^z.b)) REDUCED to normal form. ------ 76607/6449703. ------ 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. ------ 76608/6450264. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 76609/6451407. ------ 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. ------ 76610/6451593. ------ 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. ------ 76611/6451911. ------ 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)))) REDUCED to normal form. ------ 76612/6452163. ------ 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)))) REDUCED to normal form. ------ 76613/6452268. ------ 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 ]==> (((((^z.z)(^x1.x1))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))(^y1.y1)) 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))((^y.y)(a (a a))))(^z.z)) 10. ==[ alpha ]==> (((a (a a))((^x.x)(a (a a))))(^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. ------ 76614/6452838. ------ 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. ------ 76615/6453024. ------ 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. ------ 76616/6453027. ------ 1. ==[ start ]==> ((a (b a))(^c.(a b))) 2. ==[ alpha ]==> ((a (b a))(^x.(a b))) REDUCED to normal form. ------ 76617/6453594. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((a a) a))) REDUCED to normal form. ------ 76618/6454368. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^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. ------ 76619/6454779. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76620/6455061. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76621/6455070. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.z))) REDUCED to normal form. ------ 76622/6455115. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^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. ------ 76623/6455124. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 76624/6455232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76625/6455259. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 76626/6455277. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.a)) 3. ==[ beta ]==> (b (^y.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 76627/6455286. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 76628/6455313. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 76629/6455343. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a 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. ------ 76630/6455352. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 76631/6455370. ------ 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. ------ 76632/6455379. ------ 1. ==[ start ]==> (((a a) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 76633/6455397. ------ 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. ------ 76634/6455424. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^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. ------ 76635/6455433. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 76636/6455460. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 76637/6455487. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(b a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 76638/6455505. ------ 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)((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 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. ------ 76639/6455514. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76640/6455532. ------ 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))) REDUCED to normal form. ------ 76641/6455541. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 76642/6455559. ------ 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)(((^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. ------ 76643/6455568. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(^a.a))) 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. ------ 76644/6455586. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 76645/6455703. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 76646/6455757. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 76647/6455847. ------ 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. ------ 76648/6455874. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 76649/6455901. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^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))) REDUCED to normal form. ------ 76650/6455928. ------ 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. ------ 76651/6455964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) 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. ------ 76652/6456171. ------ 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. ------ 76653/6456288. ------ 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 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. ------ 76654/6456315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 76655/6456369. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.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. ------ 76656/6456378. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^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. ------ 76657/6456405. ------ 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. ------ 76658/6456432. ------ 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) REDUCED to normal form. ------ 76659/6456459. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(b 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. ------ 76660/6456486. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^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. ------ 76661/6456504. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 76662/6456513. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 76663/6456801. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1))) 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. ------ 76664/6457062. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(b a))) REDUCED to normal form. ------ 76665/6457215. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^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. ------ 76666/6457233. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76667/6457395. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (b (((a a)(^z.z)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 76668/6457404. ------ 1. ==[ start ]==> (((a b) a)((^c.(^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. ------ 76669/6457422. ------ 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. ------ 76670/6457431. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 76671/6457485. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^b.(^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. ------ 76672/6457512. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^c.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. ------ 76673/6457539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 76674/6457566. ------ 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. ------ 76675/6457593. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^c.(^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. ------ 76676/6457629. ------ 1. ==[ start ]==> (((a a)(a b))(a (b a))) REDUCED to normal form. ------ 76677/6457656. ------ 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. ------ 76678/6457683. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^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 (^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. ------ 76679/6457710. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b) a)) REDUCED to normal form. ------ 76680/6457737. ------ 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. ------ 76681/6457764. ------ 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. ------ 76682/6457791. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 76683/6457818. ------ 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. ------ 76684/6457908. ------ 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))(^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. ------ 76685/6457989. ------ 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. ------ 76686/6457998. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 76687/6458025. ------ 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. ------ 76688/6458052. ------ 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. ------ 76689/6458070. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 76690/6458079. ------ 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) REDUCED to normal form. ------ 76691/6458133. ------ 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. ------ 76692/6458187. ------ 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. ------ 76693/6458205. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 76694/6458214. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 76695/6458358. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 76696/6458385. ------ 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. ------ 76697/6458412. ------ 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. ------ 76698/6458439. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 76699/6458466. ------ 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. ------ 76700/6458493. ------ 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. ------ 76701/6458664. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((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. ------ 76702/6458673. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 76703/6458700. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.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. ------ 76704/6458727. ------ 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)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76705/6458745. ------ 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. ------ 76706/6458781. ------ 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. ------ 76707/6458808. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 76708/6458826. ------ 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. ------ 76709/6458862. ------ 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))(^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. ------ 76710/6458889. ------ 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. ------ 76711/6458907. ------ 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. ------ 76712/6458916. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 76713/6458943. ------ 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 z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76714/6458970. ------ 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.(^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. ------ 76715/6459033. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a b))) REDUCED to normal form. ------ 76716/6459060. ------ 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. ------ 76717/6459087. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(a a))) REDUCED to normal form. ------ 76718/6459114. ------ 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. ------ 76719/6459141. ------ 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. ------ 76720/6459168. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 76721/6459195. ------ 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) 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. ------ 76722/6459222. ------ 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. ------ 76723/6459249. ------ 1. ==[ start ]==> ((a (b a))((a a)(a b))) REDUCED to normal form. ------ 76724/6459339. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.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. ------ 76725/6459420. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^c.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. ------ 76726/6459483. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 76727/6459528. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((b a)((^y.y) c)) 6. ==[ alpha ]==> ((b a)((^x.x) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 76728/6459591. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^b.(^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. ------ 76729/6459618. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^c.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. ------ 76730/6459690. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.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. ------ 76731/6459816. ------ 1. ==[ start ]==> (((a a)(b a))((a a)((a a) a))) REDUCED to normal form. ------ 76732/6460077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76733/6460176. ------ 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)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 76734/6460365. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76735/6460374. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 76736/6460392. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^b.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. ------ 76737/6460401. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 76738/6460419. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 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. ------ 76739/6460473. ------ 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. ------ 76740/6460482. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^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. ------ 76741/6460509. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76742/6460563. ------ 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 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 76743/6460590. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^b.(^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. ------ 76744/6460662. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 76745/6460707. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (a a)))) REDUCED to normal form. ------ 76746/6460923. ------ 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)(^x.x)) 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. ------ 76747/6460977. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 76748/6461004. ------ 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 b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 76749/6461013. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 76750/6461175. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 76751/6461292. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.a))) REDUCED to normal form. ------ 76752/6461319. ------ 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))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 76753/6461337. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^a.(^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. ------ 76754/6461346. ------ 1. ==[ start ]==> (((a a)(^b.b))((^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. ------ 76755/6461364. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1)) 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. ------ 76756/6461373. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 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. ------ 76757/6461418. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 76758/6461454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^a.(^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 a) REDUCED to normal form. ------ 76759/6461481. ------ 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. ------ 76760/6461499. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 76761/6461508. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 76762/6461535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 76763/6467760. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a))) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) c) 3. ==[ beta ]==> (((a a)(^y.(^z.z))) c) 4. ==[ alpha ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 76764/6467811. ------ 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))((^z.z)(^x1.x1)))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^x1.(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 76765/6467838. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76766/6467919. ------ 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 ]==> (((^z.(z z))((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 76767/6468327. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 76768/6468603. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 76769/6468651. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(^b.b))) 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. ------ 76770/6468939. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^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. ------ 76771/6469161. ------ 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. ------ 76772/6469254. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(a (^a.(^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))))) REDUCED to normal form. ------ 76773/6469494. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76774/6469542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 76775/6469674. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.a)((^y.y)(^z.z))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 76776/6470061. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.((b ((a a)(^z.z)))(b ((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.((b ((a a)(^y.y)))(b ((a a)(^z.z))))) REDUCED to normal form. ------ 76777/6470586. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76778/6470838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^c.(^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. ------ 76779/6471513. ------ 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. ------ 76780/6471699. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.b))) 3. ==[ eta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 76781/6472248. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 76782/6472296. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 76783/6472458. ------ 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. ------ 76784/6472536. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 7. ==[ beta ]==> (a (^z.(^x1.x1))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 76785/6472629. ------ 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. ------ 76786/6473139. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76787/6473187. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 76788/6473295. ------ 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. ------ 76789/6473454. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76790/6473745. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.c)) REDUCED to normal form. ------ 76791/6473799. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 76792/6473871. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 76793/6473907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.b)) 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. ------ 76794/6473934. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 76795/6473952. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.b)) 3. ==[ beta ]==> (b (^y.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 76796/6473961. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 76797/6473988. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 76798/6474036. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^b.(^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)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 76799/6474045. ------ 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))(a a)) REDUCED to normal form. ------ 76800/6474063. ------ 1. ==[ start ]==> (((a a) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 76801/6474072. ------ 1. ==[ start ]==> ((a b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.b)((a a) a))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 76802/6474090. ------ 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. ------ 76803/6474117. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 76804/6474126. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^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. ------ 76805/6474153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 76806/6474198. ------ 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))))) REDUCED to normal form. ------ 76807/6474225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 76808/6474252. ------ 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 (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 76809/6474288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 76810/6474306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 76811/6474531. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 76812/6474558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 76813/6474603. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(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. ------ 76814/6474621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(a (^y.y)))((b a)(a (^y.y)))) 6. ==[ alpha ]==> (((b a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 76815/6474648. ------ 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.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. ------ 76816/6474702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^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. ------ 76817/6474729. ------ 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. ------ 76818/6474756. ------ 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))(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. ------ 76819/6474810. ------ 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. ------ 76820/6474837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 76821/6474855. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 76822/6474882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 76823/6474909. ------ 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)))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 76824/6474927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 76825/6475062. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a)) b)(^y.b)) 6. ==[ alpha ]==> (((a (a a)) b)(^x.b)) REDUCED to normal form. ------ 76826/6475089. ------ 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. ------ 76827/6475116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^c.(^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. ------ 76828/6475170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 76829/6475197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 76830/6475224. ------ 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. ------ 76831/6475287. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 76832/6475314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) 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. ------ 76833/6475368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^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. ------ 76834/6475395. ------ 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. ------ 76835/6475431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^y1.y1)))) 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. ------ 76836/6475485. ------ 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)(^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. ------ 76837/6475566. ------ 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. ------ 76838/6475593. ------ 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 (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. ------ 76839/6475647. ------ 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. ------ 76840/6475728. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 76841/6475773. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 76842/6475854. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 76843/6475881. ------ 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. ------ 76844/6475899. ------ 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. ------ 76845/6475908. ------ 1. ==[ start ]==> ((a (a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 76846/6476061. ------ 1. ==[ start ]==> ((((a a) a) b)((b a) a)) REDUCED to normal form. ------ 76847/6476088. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 76848/6476115. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.b))((a a) c)) REDUCED to normal form. ------ 76849/6476268. ------ 1. ==[ start ]==> (((^a.b)(a a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 76850/6476295. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 76851/6476511. ------ 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. ------ 76852/6476538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((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. ------ 76853/6476682. ------ 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. ------ 76854/6476709. ------ 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. ------ 76855/6476736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 76856/6476763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.b))) REDUCED to normal form. ------ 76857/6476817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 76858/6476844. ------ 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)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y)) a)) 7. ==[ beta ]==> ((((a a)(^y.y)) a)(((a a)(^y.y)) a)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 76859/6476871. ------ 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. ------ 76860/6476898. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 76861/6476961. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 76862/6476988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 76863/6477015. ------ 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. ------ 76864/6477042. ------ 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.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 76865/6477114. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 76866/6477213. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a 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. ------ 76867/6477357. ------ 1. ==[ start ]==> (((a b) c)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 76868/6477384. ------ 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. ------ 76869/6477411. ------ 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)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^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. ------ 76870/6477465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) 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. ------ 76871/6477492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 76872/6477546. ------ 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. ------ 76873/6477573. ------ 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. ------ 76874/6477600. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 76875/6477690. ------ 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. ------ 76876/6477717. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 76877/6477744. ------ 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. ------ 76878/6477933. ------ 1. ==[ start ]==> ((a (b a))(b (^a.b))) 2. ==[ alpha ]==> ((a (b a))(b (^x.b))) REDUCED to normal form. ------ 76879/6478167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b) a)) REDUCED to normal form. ------ 76880/6478293. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(c (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(c (^x.x))) REDUCED to normal form. ------ 76881/6478356. ------ 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. ------ 76882/6478374. ------ 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. ------ 76883/6478383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 76884/6478410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^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. ------ 76885/6478482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 76886/6478500. ------ 1. ==[ start ]==> (((a a)(b a))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.a))) REDUCED to normal form. ------ 76887/6478527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 76888/6478581. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^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. ------ 76889/6478608. ------ 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. ------ 76890/6478635. ------ 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. ------ 76891/6478662. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.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. ------ 76892/6478689. ------ 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. ------ 76893/6478770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 76894/6478860. ------ 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. ------ 76895/6478941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1) 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. ------ 76896/6479058. ------ 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. ------ 76897/6479085. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 76898/6479103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 76899/6479166. ------ 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. ------ 76900/6479193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a)) b)) 5. ==[ beta ]==> ((^y.b)((a (a a)) b)) 6. ==[ alpha ]==> ((^x.b)((a (a a)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 76901/6479238. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 76902/6479301. ------ 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))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 76903/6479346. ------ 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)(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. ------ 76904/6479355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 76905/6479373. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 76906/6479391. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(z z)))) REDUCED to normal form. ------ 76907/6479418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 76908/6479445. ------ 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. ------ 76909/6479472. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 76910/6479499. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 76911/6479526. ------ 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. ------ 76912/6479553. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^z.z))) 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. ------ 76913/6479580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 76914/6479607. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 76915/6479652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 76916/6479688. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 76917/6479697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((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. ------ 76918/6479724. ------ 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.z1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z1.z1) 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. ------ 76919/6479859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 76920/6479967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76921/6479976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) c) REDUCED to normal form. ------ 76922/6480003. ------ 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))) REDUCED to normal form. ------ 76923/6480021. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b b)) 3. ==[ beta ]==> (((^y.y) b)(b b)) 4. ==[ alpha ]==> (((^x.x) b)(b b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 76924/6480030. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 76925/6480057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) REDUCED to normal form. ------ 76926/6480102. ------ 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)(^y.y))((a a)(^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 76927/6480138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76928/6480165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 76929/6480183. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 76930/6480192. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 76931/6480219. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^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. ------ 76932/6480245. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 76933/6480246. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 76934/6486480. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 76935/6486486. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 76936/6486513. ------ 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))(^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)))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 76937/6486540. ------ 1. ==[ start ]==> ((^a.b)((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 76938/6486714. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 76939/6486738. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(^a.a))) 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. ------ 76940/6487080. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)(((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.(^y1.(^z1.z1))) b)((^x2.(^y2.(^z2.z2))) b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.(^z1.z1))) b)((^x2.(^y2.(^z2.z2))) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1))) b)((^z1.(^x2.(^y2.y2))) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76941/6487305. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 76942/6487431. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76943/6487659. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 76944/6487956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^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. ------ 76945/6488196. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 76946/6488376. ------ 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. ------ 76947/6488763. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^c.(^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. ------ 76948/6490827. ------ 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. ------ 76949/6491331. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^c.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. ------ 76950/6491628. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((^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. ------ 76951/6491772. ------ 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))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 76952/6491841. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76953/6492123. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 76954/6492156. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 76955/6492447. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 76956/6492519. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 76957/6492573. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 76958/6492609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a a))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76959/6492654. ------ 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))) REDUCED to normal form. ------ 76960/6492663. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 76961/6492690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 76962/6492717. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 76963/6492729. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 76964/6492756. ------ 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. ------ 76965/6492765. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 76966/6492783. ------ 1. ==[ start ]==> ((a b)((a b)(^c.a))) 2. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 76967/6492792. ------ 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. ------ 76968/6492837. ------ 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))((^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. ------ 76969/6492873. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 76970/6492900. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.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. ------ 76971/6492927. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 76972/6492954. ------ 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)((^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. ------ 76973/6492981. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(^a.a))) 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. ------ 76974/6492999. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 76975/6493026. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a) c)) REDUCED to normal form. ------ 76976/6493062. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 76977/6493089. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^b.(^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. ------ 76978/6493170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 76979/6493296. ------ 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)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 76980/6493314. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(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. ------ 76981/6493323. ------ 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. ------ 76982/6493395. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 76983/6493422. ------ 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. ------ 76984/6493449. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 76985/6493476. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 76986/6493503. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 76987/6493530. ------ 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. ------ 76988/6493548. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 76989/6493620. ------ 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))) REDUCED to normal form. ------ 76990/6493647. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 76991/6493674. ------ 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))) 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. ------ 76992/6493683. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^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. ------ 76993/6493710. ------ 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 (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. ------ 76994/6493818. ------ 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 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(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. ------ 76995/6493845. ------ 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 REDUCED to normal form. ------ 76996/6493899. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 76997/6494142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 76998/6494196. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(^y1.(^z1.z1))))) 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. ------ 76999/6494232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(a a))) 3. ==[ beta ]==> (((^y.y) b)((b a)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(a a))) 5. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 77000/6494259. ------ 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. ------ 77001/6494313. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a (a a)))) REDUCED to normal form. ------ 77002/6494340. ------ 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. ------ 77003/6494367. ------ 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. ------ 77004/6494394. ------ 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))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77005/6494421. ------ 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. ------ 77006/6494439. ------ 1. ==[ start ]==> ((a (^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 77007/6494511. ------ 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. ------ 77008/6494538. ------ 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. ------ 77009/6494565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 77010/6494592. ------ 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. ------ 77011/6494619. ------ 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. ------ 77012/6494628. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77013/6494709. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) IRREDUCIBLE: cycle. ------ 77014/6494817. ------ 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. ------ 77015/6494844. ------ 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. ------ 77016/6494979. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 77017/6494988. ------ 1. ==[ start ]==> (((a b)(^a.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(c (a a))) REDUCED to normal form. ------ 77018/6495006. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^c.(^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. ------ 77019/6495105. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 77020/6495177. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^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. ------ 77021/6495249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(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. ------ 77022/6495384. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77023/6495438. ------ 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. ------ 77024/6495465. ------ 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. ------ 77025/6495519. ------ 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.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(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. ------ 77026/6495600. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 77027/6495825. ------ 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. ------ 77028/6495834. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 77029/6495861. ------ 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. ------ 77030/6496059. ------ 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 a)) REDUCED to normal form. ------ 77031/6496140. ------ 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. ------ 77032/6496167. ------ 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 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. ------ 77033/6496221. ------ 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. ------ 77034/6496302. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77035/6496482. ------ 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. ------ 77036/6496509. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) b)) 7. ==[ beta ]==> ((^y.y)((^z.b) b)) 8. ==[ alpha ]==> ((^x.x)((^y.b) b)) 9. ==[ beta ]==> ((^y.b) b) 10. ==[ alpha ]==> ((^x.b) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 77037/6496734. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.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. ------ 77038/6496815. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 77039/6496923. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.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. ------ 77040/6496950. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^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. ------ 77041/6497004. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^b.(^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. ------ 77042/6497013. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(c (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.y))) REDUCED to normal form. ------ 77043/6497067. ------ 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. ------ 77044/6497094. ------ 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. ------ 77045/6497121. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 77046/6497148. ------ 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.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 77047/6497265. ------ 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. ------ 77048/6497292. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^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. ------ 77049/6497319. ------ 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. ------ 77050/6497346. ------ 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. ------ 77051/6497373. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 77052/6497427. ------ 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. ------ 77053/6497490. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77054/6497571. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^c.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. ------ 77055/6497760. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^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. ------ 77056/6497787. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 77057/6497814. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^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. ------ 77058/6497868. ------ 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)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^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. ------ 77059/6497949. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77060/6497958. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 77061/6497985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (a a)))) REDUCED to normal form. ------ 77062/6498012. ------ 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)))) 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. ------ 77063/6498066. ------ 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)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (a (^x1.x1)))) REDUCED to normal form. ------ 77064/6498084. ------ 1. ==[ start ]==> ((a (^b.b))(c (^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.a))) REDUCED to normal form. ------ 77065/6498156. ------ 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. ------ 77066/6498183. ------ 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) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) 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. ------ 77067/6498210. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 77068/6498237. ------ 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. ------ 77069/6498264. ------ 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. ------ 77070/6498291. ------ 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)) 5. ==[ beta ]==> (((a a)(a (a a)))(a b)) REDUCED to normal form. ------ 77071/6498363. ------ 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. ------ 77072/6498372. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 77073/6498399. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) b)) 3. ==[ beta ]==> ((a b)((^y.a) b)) 4. ==[ alpha ]==> ((a b)((^x.a) b)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 77074/6498408. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(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. ------ 77075/6498435. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.a))) 3. ==[ beta ]==> ((^y.y)(b (^z1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 77076/6498570. ------ 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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 77077/6498678. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77078/6498687. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(a (^z.z)))) REDUCED to normal form. ------ 77079/6498714. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(c a)) 3. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 77080/6498732. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^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. ------ 77081/6498741. ------ 1. ==[ start ]==> (((a a)(^b.b))(b b)) 2. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 77082/6498759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.z1)))) 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. ------ 77083/6498813. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77084/6498849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a a))) 5. ==[ beta ]==> ((^y.(a a))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77085/6498876. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b a)) REDUCED to normal form. ------ 77086/6498894. ------ 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. ------ 77087/6498903. ------ 1. ==[ start ]==> (((a b)(^c.a))(a b)) 2. ==[ alpha ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 77088/6498930. ------ 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))) REDUCED to normal form. ------ 77089/6498957. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 77090/6505200. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 77091/6505224. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77092/6505305. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 77093/6505452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 77094/6505467. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.(((^z.z) b) a)) 4. ==[ alpha ]==> (^x.(((^y.y) b) a)) 5. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 77095/6505785. ------ 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))) 5. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 77096/6505809. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a a))(((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))((a (^y1.(^z1.z1)))(a a)))) REDUCED to normal form. ------ 77097/6506397. ------ 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))))) REDUCED to normal form. ------ 77098/6507261. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(x a))) REDUCED to normal form. ------ 77099/6507540. ------ 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. ------ 77100/6507699. ------ 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. ------ 77101/6508044. ------ 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)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 77102/6508296. ------ 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. ------ 77103/6508374. ------ 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. ------ 77104/6508746. ------ 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. ------ 77105/6508971. ------ 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. ------ 77106/6509130. ------ 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. ------ 77107/6509367. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a y))) 3. ==[ eta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 77108/6509556. ------ 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. ------ 77109/6510366. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.((^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. ------ 77110/6510501. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77111/6510570. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77112/6510618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a (a a)))) REDUCED to normal form. ------ 77113/6510852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^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. ------ 77114/6510861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z (z z)))) REDUCED to normal form. ------ 77115/6510885. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77116/6511203. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^b.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. ------ 77117/6511257. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 77118/6511365. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77119/6511383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 77120/6511392. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 77121/6511419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77122/6511446. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77123/6511476. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 77124/6511503. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(^b.(^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. ------ 77125/6511512. ------ 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)(a a)) REDUCED to normal form. ------ 77126/6511530. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.a))) 3. ==[ beta ]==> ((a a)((a b)(^y.a))) 4. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 77127/6511539. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 77128/6511557. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 77129/6511566. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 77130/6511593. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77131/6511620. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 77132/6511647. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 77133/6511665. ------ 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))))) REDUCED to normal form. ------ 77134/6511674. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^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. ------ 77135/6511692. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 77136/6511701. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 77137/6511719. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 77138/6511755. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 77139/6511836. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 77140/6511863. ------ 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. ------ 77141/6511890. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 77142/6511917. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^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. ------ 77143/6512007. ------ 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. ------ 77144/6512034. ------ 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))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 77145/6512061. ------ 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. ------ 77146/6512070. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b)) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77147/6512304. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 77148/6512331. ------ 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 (^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. ------ 77149/6512376. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 77150/6512421. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 77151/6512448. ------ 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 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. ------ 77152/6512511. ------ 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. ------ 77153/6512538. ------ 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. ------ 77154/6512556. ------ 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. ------ 77155/6512565. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 77156/6512592. ------ 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) REDUCED to normal form. ------ 77157/6512619. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 77158/6512637. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 77159/6512646. ------ 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 (^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. ------ 77160/6512673. ------ 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. ------ 77161/6513195. ------ 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. ------ 77162/6513222. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(b a))) REDUCED to normal form. ------ 77163/6513348. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(a (a a)))) 3. ==[ beta ]==> (b ((^y.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77164/6513366. ------ 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. ------ 77165/6513447. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 77166/6513510. ------ 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. ------ 77167/6513528. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 77168/6513555. ------ 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. ------ 77169/6513564. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^a.(^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. ------ 77170/6513618. ------ 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 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. ------ 77171/6513672. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 77172/6513699. ------ 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. ------ 77173/6513726. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 77174/6513762. ------ 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. ------ 77175/6513789. ------ 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. ------ 77176/6513816. ------ 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))) REDUCED to normal form. ------ 77177/6513843. ------ 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))(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. ------ 77178/6513870. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((a b)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)((^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. ------ 77179/6513897. ------ 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. ------ 77180/6513924. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^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))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a a))(^y.y)) 8. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 77181/6513951. ------ 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. ------ 77182/6514122. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (b ((a b)(^x1.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 77183/6514131. ------ 1. ==[ start ]==> (((a b) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 77184/6514176. ------ 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. ------ 77185/6514185. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.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. ------ 77186/6514203. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^c.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. ------ 77187/6514212. ------ 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. ------ 77188/6514257. ------ 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 (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 11. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 77189/6514266. ------ 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)(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. ------ 77190/6514293. ------ 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. ------ 77191/6514320. ------ 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. ------ 77192/6514338. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 77193/6514347. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 77194/6514374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 77195/6514518. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 77196/6514545. ------ 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. ------ 77197/6514572. ------ 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. ------ 77198/6514599. ------ 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. ------ 77199/6514626. ------ 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. ------ 77200/6514797. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^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. ------ 77201/6514806. ------ 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 a)) REDUCED to normal form. ------ 77202/6514833. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 77203/6514878. ------ 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. ------ 77204/6514905. ------ 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 (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. ------ 77205/6514914. ------ 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 z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 77206/6514941. ------ 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. ------ 77207/6514959. ------ 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. ------ 77208/6514995. ------ 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. ------ 77209/6515022. ------ 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. ------ 77210/6515040. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 77211/6515049. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 77212/6515103. ------ 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 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. ------ 77213/6515193. ------ 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. ------ 77214/6515220. ------ 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. ------ 77215/6515247. ------ 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)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a a))) 7. ==[ beta ]==> ((^y.y)((a b)(a a))) 8. ==[ alpha ]==> ((^x.x)((a b)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77216/6515274. ------ 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. ------ 77217/6515301. ------ 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.x1) a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b) a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a b) a)((^y.y) a)) 8. ==[ alpha ]==> (((a b) a)((^x.x) a)) 9. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 77218/6515328. ------ 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 (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. ------ 77219/6515355. ------ 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)(^x.x))(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. ------ 77220/6515382. ------ 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. ------ 77221/6515472. ------ 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. ------ 77222/6515553. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^b.(^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. ------ 77223/6515616. ------ 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. ------ 77224/6515661. ------ 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. ------ 77225/6515724. ------ 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 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 77226/6515751. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^b.(^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. ------ 77227/6515805. ------ 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. ------ 77228/6515823. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77229/6515949. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 77230/6515976. ------ 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. ------ 77231/6516210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^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. ------ 77232/6516390. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 77233/6516498. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77234/6516507. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^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. ------ 77235/6516525. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(^a.(^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. ------ 77236/6516534. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 77237/6516552. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^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. ------ 77238/6516606. ------ 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 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. ------ 77239/6516615. ------ 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)(^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. ------ 77240/6516642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^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. ------ 77241/6516687. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77242/6516696. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.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. ------ 77243/6516723. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 77244/6516750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^b.(^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. ------ 77245/6516795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 77246/6516822. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 77247/6516840. ------ 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.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 77248/6516867. ------ 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. ------ 77249/6516948. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c c)) 3. ==[ beta ]==> (((^y.y)(a b))(c c)) 4. ==[ alpha ]==> (((^x.x)(a b))(c c)) 5. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 77250/6517101. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 77251/6517110. ------ 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. ------ 77252/6517137. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 77253/6517146. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 77254/6517308. ------ 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. ------ 77255/6517416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77256/6517425. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 77257/6517452. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^b.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. ------ 77258/6517470. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.z))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 77259/6517479. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 77260/6517497. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 77261/6517506. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 77262/6517551. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) b)) REDUCED to normal form. ------ 77263/6517587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.z))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77264/6517614. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 77265/6517632. ------ 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)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 77266/6517641. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 77267/6517668. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^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. ------ 77268/6517695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 77269/6524025. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77270/6524106. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((^y1.y1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 77271/6524541. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(^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. ------ 77272/6524790. ------ 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. ------ 77273/6524865. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(^b.b))) 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. ------ 77274/6525348. ------ 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. ------ 77275/6525681. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 77276/6525756. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 77277/6525861. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(a (a a))) b) 4. ==[ alpha ]==> (((^x.b)(a (a a))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77278/6526017. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.a))) REDUCED to normal form. ------ 77279/6526248. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((c ((^z.z)(a a)))(c ((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.((c ((^y.y)(a a)))(c ((^z.z)(a a))))) 5. ==[ beta ]==> (^x.((c (a a))(c ((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.((c (a a))(c ((^y.y)(a a))))) 7. ==[ beta ]==> (^x.((c (a a))(c (a a)))) REDUCED to normal form. ------ 77280/6526548. ------ 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))) REDUCED to normal form. ------ 77281/6527052. ------ 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. ------ 77282/6527502. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^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. ------ 77283/6527727. ------ 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. ------ 77284/6527886. ------ 1. ==[ start ]==> ((^a.(b a))(c (^c.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. ------ 77285/6528123. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 77286/6528330. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 77287/6528435. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77288/6528510. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 77289/6528672. ------ 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. ------ 77290/6528723. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^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. ------ 77291/6529122. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77292/6529326. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77293/6529401. ------ 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. ------ 77294/6529509. ------ 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)))) REDUCED to normal form. ------ 77295/6529608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.d)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.d)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77296/6529617. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 77297/6529815. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 77298/6529959. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.c)) 3. ==[ beta ]==> ((b a)(^y.c)) 4. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 77299/6530121. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 77300/6530148. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 77301/6530175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 77302/6530202. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 77303/6530250. ------ 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. ------ 77304/6530277. ------ 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. ------ 77305/6530286. ------ 1. ==[ start ]==> ((a b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77306/6530304. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 77307/6530331. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.b))) 3. ==[ beta ]==> (b (((a a) a)(^y.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 77308/6530358. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(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. ------ 77309/6530367. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^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)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 77310/6530385. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 77311/6530439. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 77312/6530466. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 77313/6530502. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)(^a.a))) 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. ------ 77314/6530520. ------ 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)((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. ------ 77315/6530529. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 77316/6530772. ------ 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))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 77317/6530799. ------ 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))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 77318/6530817. ------ 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)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 77319/6530835. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 77320/6530862. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 77321/6530898. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 77322/6530916. ------ 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)(^y.y))(((^z.z)(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. ------ 77323/6530943. ------ 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. ------ 77324/6530970. ------ 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) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 77325/6531024. ------ 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))((^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. ------ 77326/6531051. ------ 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. ------ 77327/6531096. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77328/6531123. ------ 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))) REDUCED to normal form. ------ 77329/6531141. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 77330/6531150. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(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. ------ 77331/6531276. ------ 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. ------ 77332/6531303. ------ 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. ------ 77333/6531330. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 77334/6531411. ------ 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.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 77335/6531438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) 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. ------ 77336/6531528. ------ 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 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 77337/6531555. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^b.(^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. ------ 77338/6531609. ------ 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. ------ 77339/6531699. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (b a))) 5. ==[ beta ]==> (a (b (b a))) REDUCED to normal form. ------ 77340/6531735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 77341/6531780. ------ 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. ------ 77342/6531807. ------ 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.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. ------ 77343/6531861. ------ 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. ------ 77344/6531942. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.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. ------ 77345/6532014. ------ 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. ------ 77346/6532095. ------ 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. ------ 77347/6532113. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((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. ------ 77348/6532122. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 77349/6532302. ------ 1. ==[ start ]==> (((a b) a)((b a) a)) REDUCED to normal form. ------ 77350/6532329. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 77351/6532509. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(c (a a))) REDUCED to normal form. ------ 77352/6532527. ------ 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. ------ 77353/6532725. ------ 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. ------ 77354/6532752. ------ 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. ------ 77355/6532806. ------ 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. ------ 77356/6532896. ------ 1. ==[ start ]==> (((a b) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.a))) REDUCED to normal form. ------ 77357/6532923. ------ 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. ------ 77358/6532950. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^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. ------ 77359/6532977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.a))) REDUCED to normal form. ------ 77360/6533031. ------ 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.(a a)))) REDUCED to normal form. ------ 77361/6533085. ------ 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. ------ 77362/6533112. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 77363/6533139. ------ 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)) REDUCED to normal form. ------ 77364/6533202. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 77365/6533256. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 77366/6533283. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 77367/6533328. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 77368/6533427. ------ 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 (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. ------ 77369/6533571. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(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. ------ 77370/6533598. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 77371/6533625. ------ 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. ------ 77372/6533679. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77373/6533706. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^c.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. ------ 77374/6533760. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77375/6533787. ------ 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. ------ 77376/6533814. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) b)) REDUCED to normal form. ------ 77377/6533904. ------ 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. ------ 77378/6533931. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^c.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. ------ 77379/6533958. ------ 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. ------ 77380/6533985. ------ 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. ------ 77381/6534147. ------ 1. ==[ start ]==> ((a (b a))(c (^c.a))) 2. ==[ alpha ]==> ((a (b a))(c (^x.a))) REDUCED to normal form. ------ 77382/6534381. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.b))) REDUCED to normal form. ------ 77383/6534588. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 77384/6534597. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 77385/6534624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.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. ------ 77386/6534651. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 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. ------ 77387/6534696. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 77388/6534714. ------ 1. ==[ start ]==> (((a a)(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 77389/6534741. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 77390/6534768. ------ 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))) 5. ==[ beta ]==> ((a (a a))(a (^y.b))) 6. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 77391/6534795. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.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. ------ 77392/6534822. ------ 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. ------ 77393/6534849. ------ 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. ------ 77394/6534876. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 77395/6534903. ------ 1. ==[ start ]==> ((((^a.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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 77396/6534930. ------ 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. ------ 77397/6534975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77398/6534984. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^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. ------ 77399/6535074. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(b ((^z.z)(^x1.x1)))) 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. ------ 77400/6535155. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 77401/6535272. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) 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. ------ 77402/6535299. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77403/6535380. ------ 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. ------ 77404/6535407. ------ 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. ------ 77405/6535461. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 77406/6535560. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 77407/6535569. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b b)) REDUCED to normal form. ------ 77408/6535587. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 77409/6535632. ------ 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. ------ 77410/6535659. ------ 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. ------ 77411/6535686. ------ 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 y))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 77412/6535713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 77413/6535740. ------ 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) 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. ------ 77414/6535767. ------ 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. ------ 77415/6535794. ------ 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 y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^y.y))) 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. ------ 77416/6535821. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 77417/6535875. ------ 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 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. ------ 77418/6535911. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 77419/6535938. ------ 1. ==[ start ]==> (((^a.(^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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(a (^x2.x2)))) 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. ------ 77420/6536073. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a d)) 3. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 77421/6536181. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77422/6536190. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 77423/6536217. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y) c)) 3. ==[ beta ]==> ((b a)((^y.y) c)) 4. ==[ alpha ]==> ((b a)((^x.x) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 77424/6536235. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c a)) 3. ==[ beta ]==> (((^y.y) b)(c a)) 4. ==[ alpha ]==> (((^x.x) b)(c a)) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 77425/6536244. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 77426/6536262. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77427/6536271. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 77428/6536316. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a a))) REDUCED to normal form. ------ 77429/6536352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77430/6536379. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 77431/6536397. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 77432/6536406. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 77433/6536433. ------ 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)) REDUCED to normal form. ------ 77434/6536460. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 77435/6536486. ------ 1. ==[ start ]==> (^a.((b a)(^b.a))) 2. ==[ alpha ]==> (^x.((b x)(^y.x))) REDUCED to normal form. ------ 77436/6536487. ------ 1. ==[ start ]==> (a ((b a)(^b.a))) 2. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 77437/6536742. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.x))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.z)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77438/6542754. ------ 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. ------ 77439/6542781. ------ 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))(^z.(z z)))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 77440/6542808. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77441/6542844. ------ 1. ==[ start ]==> ((^a.(^a.(^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. ------ 77442/6542889. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.x1)) 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. ------ 77443/6543006. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z) b))) 5. ==[ beta ]==> (^x.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 77444/6543009. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 77445/6543078. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a) c)) 3. ==[ eta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 77446/6543342. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(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. ------ 77447/6543348. ------ 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 ]==> (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))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 77448/6543699. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77449/6544260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(a (^a.(^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))))) REDUCED to normal form. ------ 77450/6544644. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(^y.(y y))) b) 4. ==[ alpha ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 77451/6544818. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 77452/6545031. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(a a)))((^z.a)(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(a a)))((^x1.a)(^y1.(a a))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.(a a))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 77453/6545853. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(^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. ------ 77454/6545913. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((^z.b) c)((^z.b) c))(^y.y)) 4. ==[ alpha ]==> ((((^x.b) c)((^y.b) c))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b) c))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b) c))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 77455/6546087. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^c.(^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. ------ 77456/6547113. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^a.b))) 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. ------ 77457/6547122. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y b))) REDUCED to normal form. ------ 77458/6547506. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1)) b)(^y.(^z.z))) 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. ------ 77459/6548292. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^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. ------ 77460/6548424. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77461/6548598. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((^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 (^x.a)) REDUCED to normal form. ------ 77462/6548742. ------ 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)))) REDUCED to normal form. ------ 77463/6548760. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 77464/6548877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77465/6548904. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 77466/6548922. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.(^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. ------ 77467/6548931. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.a)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 77468/6548958. ------ 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)) REDUCED to normal form. ------ 77469/6548985. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 77470/6549024. ------ 1. ==[ start ]==> ((a a)((b a)(^b.a))) 2. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 77471/6549051. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 77472/6549078. ------ 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. ------ 77473/6549087. ------ 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)(a a)) REDUCED to normal form. ------ 77474/6549114. ------ 1. ==[ start ]==> ((a (^a.(^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. ------ 77475/6549132. ------ 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. ------ 77476/6549159. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((^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. ------ 77477/6549168. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77478/6549195. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a)(^y1.y1)))) 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. ------ 77479/6549222. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 77480/6549249. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 77481/6549276. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 77482/6549294. ------ 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. ------ 77483/6549321. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 77484/6549348. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a) c)) 3. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 77485/6549438. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 5. ==[ beta ]==> (a ((^y.b)(^z.a))) 6. ==[ alpha ]==> (a ((^x.b)(^y.a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 77486/6549609. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(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. ------ 77487/6549618. ------ 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. ------ 77488/6549690. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((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. ------ 77489/6549717. ------ 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. ------ 77490/6549744. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 77491/6549771. ------ 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. ------ 77492/6549798. ------ 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))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 77493/6549825. ------ 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. ------ 77494/6549942. ------ 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))) REDUCED to normal form. ------ 77495/6549969. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 77496/6550059. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 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. ------ 77497/6550113. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(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. ------ 77498/6550140. ------ 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)(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. ------ 77499/6550194. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(b 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. ------ 77500/6550266. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 77501/6550437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 77502/6550527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (a (^a.(^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. ------ 77503/6550554. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(a a))) REDUCED to normal form. ------ 77504/6550608. ------ 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.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. ------ 77505/6550635. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 77506/6550662. ------ 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. ------ 77507/6550689. ------ 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. ------ 77508/6550716. ------ 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. ------ 77509/6550833. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 77510/6550860. ------ 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)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77511/6550887. ------ 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. ------ 77512/6550914. ------ 1. ==[ start ]==> ((a (a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 77513/6550923. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77514/6551004. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(a b))) IRREDUCIBLE: cycle. ------ 77515/6551085. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> (b ((^z.z)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 77516/6551193. ------ 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 z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 77517/6551274. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 77518/6551301. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 77519/6551427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a)) c)) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a)) c)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a)) c)) 7. ==[ beta ]==> (a ((^y.(a a)) c)) 8. ==[ alpha ]==> (a ((^x.(a a)) c)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 77520/6551472. ------ 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. ------ 77521/6551598. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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. ------ 77522/6551679. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 77523/6551760. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^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. ------ 77524/6551814. ------ 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 REDUCED to normal form. ------ 77525/6551895. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 77526/6552120. ------ 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. ------ 77527/6552129. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 77528/6552156. ------ 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. ------ 77529/6552183. ------ 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. ------ 77530/6552354. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^c.(^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. ------ 77531/6552462. ------ 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 (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. ------ 77532/6552516. ------ 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. ------ 77533/6552597. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(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 a)) REDUCED to normal form. ------ 77534/6552804. ------ 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) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77535/6552831. ------ 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. ------ 77536/6552858. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.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. ------ 77537/6553029. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a a))) 5. ==[ beta ]==> (b ((^z.b)(a a))) 6. ==[ alpha ]==> (b ((^x.b)(a a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77538/6553110. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 77539/6553218. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.y))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 77540/6553299. ------ 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 z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 77541/6553362. ------ 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. ------ 77542/6553380. ------ 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 ((^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. ------ 77543/6553389. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 77544/6553416. ------ 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. ------ 77545/6553443. ------ 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))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 77546/6553587. ------ 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. ------ 77547/6553614. ------ 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. ------ 77548/6553641. ------ 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. ------ 77549/6553668. ------ 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 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. ------ 77550/6553695. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^b.(^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. ------ 77551/6553776. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 77552/6553785. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^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. ------ 77553/6553866. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^b.(^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. ------ 77554/6554082. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^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)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 77555/6554109. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 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. ------ 77556/6554163. ------ 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 (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 77557/6554244. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 77558/6554307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (a (a a)))) REDUCED to normal form. ------ 77559/6554361. ------ 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))) REDUCED to normal form. ------ 77560/6554397. ------ 1. ==[ start ]==> (((a a)(a (^a.(^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. ------ 77561/6554478. ------ 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. ------ 77562/6554505. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 77563/6554532. ------ 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. ------ 77564/6554559. ------ 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 z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 77565/6554586. ------ 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. ------ 77566/6554613. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 77567/6554658. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 77568/6554694. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) a)) 3. ==[ beta ]==> ((a b)((^y.(y y)) a)) 4. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 77569/6554865. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 77570/6554982. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a a))) REDUCED to normal form. ------ 77571/6555009. ------ 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. ------ 77572/6555027. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 77573/6555036. ------ 1. ==[ start ]==> (((a a)(^b.b))(c a)) 2. ==[ alpha ]==> (((a a)(^x.x))(c a)) REDUCED to normal form. ------ 77574/6555054. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 77575/6555063. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b b)) REDUCED to normal form. ------ 77576/6555108. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 77577/6555144. ------ 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 a) REDUCED to normal form. ------ 77578/6555171. ------ 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. ------ 77579/6555189. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^a.(^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. ------ 77580/6555198. ------ 1. ==[ start ]==> (((a b)(^c.a))(b a)) 2. ==[ alpha ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 77581/6555225. ------ 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)) REDUCED to normal form. ------ 77582/6555252. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 77583/6555543. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^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. ------ 77584/6555885. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((^y.((^z.z) b))((^y.((^z.z) b))(^y.((^z.z) b)))) 4. ==[ alpha ]==> ((^x.((^y.y) b))((^z.((^x1.x1) b))(^y1.((^z1.z1) b)))) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77585/6560961. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77586/6561573. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77587/6561654. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77588/6561816. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(^z.z))) 3. ==[ beta ]==> (^y.((a a)(^z.z))) 4. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 77589/6561819. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 77590/6562152. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(^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. ------ 77591/6562158. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((^y.y) b))((a ((^y.y) b))(a ((^y.y) b)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a ((^y.y) b))(a ((^z.z) b)))) 5. ==[ beta ]==> ((a b)((a ((^y.y) b))(a ((^z.z) b)))) 6. ==[ alpha ]==> ((a b)((a ((^x.x) b))(a ((^y.y) b)))) 7. ==[ beta ]==> ((a b)((a b)(a ((^y.y) b)))) 8. ==[ alpha ]==> ((a b)((a b)(a ((^x.x) b)))) 9. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 77592/6562161. ------ 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. ------ 77593/6562476. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 3. ==[ beta ]==> ((b b)(^y.(^z.z))) 4. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 77594/6562773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(a (^a.(^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)))) REDUCED to normal form. ------ 77595/6563070. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^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. ------ 77596/6563628. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 77597/6563637. ------ 1. ==[ start ]==> (((a b) a)(^b.(b a))) 2. ==[ alpha ]==> (((a b) a)(^x.(x a))) REDUCED to normal form. ------ 77598/6563916. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(^z.z))) b) 4. ==[ beta ]==> ((a ((^y.y)(^z.z))) b) 5. ==[ alpha ]==> ((a ((^x.x)(^y.y))) b) 6. ==[ beta ]==> ((a (^y.y)) b) 7. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 77599/6564048. ------ 1. ==[ start ]==> ((^a.((^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)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 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. ------ 77600/6564420. ------ 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. ------ 77601/6564663. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^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. ------ 77602/6564672. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 77603/6564723. ------ 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 ]==> ((((a b)(a (^z.z)))((a b)(a (^z.z))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(a (^x.x)))((a b)(a (^y.y))))(^z.z)) REDUCED to normal form. ------ 77604/6564906. ------ 1. ==[ start ]==> (((a b) c)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 77605/6565122. ------ 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. ------ 77606/6565347. ------ 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)(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1)(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(z z)))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 9. ==[ beta ]==> (^y.((^z.z)(y y))) 10. ==[ alpha ]==> (^x.((^y.y)(x x))) 11. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 77607/6565479. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (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. ------ 77608/6565932. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.y))) REDUCED to normal form. ------ 77609/6566742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((^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. ------ 77610/6566919. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77611/6567234. ------ 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. ------ 77612/6567237. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y (y y)))) 3. ==[ beta ]==> ((a b)(^y.(y (y y)))) 4. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 77613/6567408. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^b.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. ------ 77614/6567570. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((^y.y) b)(^z.c)) 4. ==[ alpha ]==> (((^x.x) b)(^y.c)) 5. ==[ beta ]==> (b (^y.c)) 6. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 77615/6567579. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 77616/6567687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77617/6567732. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 77618/6567741. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77619/6567768. ------ 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))) REDUCED to normal form. ------ 77620/6567795. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77621/6567852. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 77622/6567879. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 77623/6567906. ------ 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. ------ 77624/6567915. ------ 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)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 77625/6567933. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 77626/6567942. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)((a a) a))) 3. ==[ beta ]==> (b ((^y.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77627/6567987. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77628/6567996. ------ 1. ==[ start ]==> (((a a) b)((^b.(^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. ------ 77629/6568023. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 77630/6568050. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 77631/6568068. ------ 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)((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. ------ 77632/6568077. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 77633/6568095. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 77634/6568131. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(^a.a))) 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. ------ 77635/6568176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a) c)) 3. ==[ beta ]==> ((^y.a)((b a) c)) 4. ==[ alpha ]==> ((^x.a)((b a) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 77636/6568212. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 77637/6568239. ------ 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. ------ 77638/6568266. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 77639/6568320. ------ 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. ------ 77640/6568410. ------ 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. ------ 77641/6568428. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 77642/6568437. ------ 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. ------ 77643/6568446. ------ 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 ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77644/6568473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 77645/6568680. ------ 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. ------ 77646/6568707. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(b a))) REDUCED to normal form. ------ 77647/6568734. ------ 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. ------ 77648/6568752. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (^y.y))) 3. ==[ beta ]==> ((b b)(a (^y.y))) 4. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 77649/6568797. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 77650/6568824. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 77651/6568878. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^b.(^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. ------ 77652/6568887. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 77653/6568932. ------ 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. ------ 77654/6568941. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 77655/6568959. ------ 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.(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. ------ 77656/6568968. ------ 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 z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 77657/6568995. ------ 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) REDUCED to normal form. ------ 77658/6569022. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(b 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. ------ 77659/6569049. ------ 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 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 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. ------ 77660/6569346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 77661/6569571. ------ 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. ------ 77662/6569598. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 77663/6569625. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)(b a))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(b a))) REDUCED to normal form. ------ 77664/6569724. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 77665/6569742. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77666/6569823. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(^z.b))) IRREDUCIBLE: cycle. ------ 77667/6569886. ------ 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. ------ 77668/6569913. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(b a))) 3. ==[ beta ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 77669/6569931. ------ 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. ------ 77670/6569958. ------ 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. ------ 77671/6569994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 77672/6570021. ------ 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 z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 77673/6570048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 77674/6570075. ------ 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. ------ 77675/6570102. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 77676/6570138. ------ 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. ------ 77677/6570165. ------ 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. ------ 77678/6570192. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 77679/6570219. ------ 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))) REDUCED to normal form. ------ 77680/6570246. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(a (^z.z)))) 8. ==[ alpha ]==> (a (((^x.x)(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. ------ 77681/6570273. ------ 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. ------ 77682/6570300. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 77683/6570327. ------ 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 (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. ------ 77684/6570498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.(^z1.z1)))) 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. ------ 77685/6570507. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 77686/6570534. ------ 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. ------ 77687/6570552. ------ 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. ------ 77688/6570561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.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. ------ 77689/6570579. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^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. ------ 77690/6570588. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.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. ------ 77691/6570633. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 11. ==[ beta ]==> (((^y.y) a)(^z.b)) 12. ==[ alpha ]==> (((^x.x) a)(^y.b)) 13. ==[ beta ]==> (a (^y.b)) 14. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 77692/6570642. ------ 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) REDUCED to normal form. ------ 77693/6570669. ------ 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.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(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. ------ 77694/6570696. ------ 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. ------ 77695/6570714. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 77696/6570723. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^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. ------ 77697/6570750. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 77698/6570921. ------ 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. ------ 77699/6570939. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 77700/6570948. ------ 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. ------ 77701/6570975. ------ 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. ------ 77702/6571002. ------ 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. ------ 77703/6571038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 77704/6571182. ------ 1. ==[ start ]==> (((a b) c)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 77705/6571209. ------ 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 a)) REDUCED to normal form. ------ 77706/6571236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 77707/6571254. ------ 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. ------ 77708/6571281. ------ 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 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. ------ 77709/6571290. ------ 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 (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. ------ 77710/6571317. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a (^x.b))(^z.z)) 12. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 77711/6571371. ------ 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))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77712/6571398. ------ 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. ------ 77713/6571416. ------ 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. ------ 77714/6571425. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 77715/6571452. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 77716/6571569. ------ 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. ------ 77717/6571596. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (a b))) REDUCED to normal form. ------ 77718/6571623. ------ 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. ------ 77719/6571650. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 77720/6571677. ------ 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. ------ 77721/6571704. ------ 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.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. ------ 77722/6571731. ------ 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)))) REDUCED to normal form. ------ 77723/6571758. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) 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. ------ 77724/6571848. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.z))) 5. ==[ beta ]==> (b ((a b)(^z.z))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 77725/6571929. ------ 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 z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 77726/6571992. ------ 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. ------ 77727/6572037. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((a b) a)) 3. ==[ beta ]==> ((b a)((a b) a)) REDUCED to normal form. ------ 77728/6572064. ------ 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. ------ 77729/6572100. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^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. ------ 77730/6572127. ------ 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 z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 77731/6572181. ------ 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. ------ 77732/6572208. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 77733/6572325. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))(a (a (a a)))) REDUCED to normal form. ------ 77734/6572352. ------ 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)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 77735/6572379. ------ 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. ------ 77736/6572604. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77737/6572766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^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. ------ 77738/6572901. ------ 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.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 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. ------ 77739/6572910. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^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. ------ 77740/6572928. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 77741/6572982. ------ 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 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 77742/6572991. ------ 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 (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. ------ 77743/6573018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 77744/6573063. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 77745/6573072. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^a.(^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. ------ 77746/6573099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 77747/6573126. ------ 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 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. ------ 77748/6573171. ------ 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. ------ 77749/6573198. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 77750/6573216. ------ 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. ------ 77751/6573243. ------ 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. ------ 77752/6573270. ------ 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. ------ 77753/6573477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 77754/6573486. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(b a)) REDUCED to normal form. ------ 77755/6573513. ------ 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. ------ 77756/6573522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 77757/6573549. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a) b)) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 77758/6573684. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^b.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. ------ 77759/6573792. ------ 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. ------ 77760/6573801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.z))) REDUCED to normal form. ------ 77761/6573828. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^a.(^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. ------ 77762/6573846. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 77763/6573855. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 77764/6573873. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 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. ------ 77765/6573882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 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. ------ 77766/6573927. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 77767/6573963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77768/6573990. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 77769/6574008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 77770/6574017. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 77771/6574044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^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. ------ 77772/6574071. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 77773/6574115. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(x (^y1.y1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77774/6574116. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 77775/6574713. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(^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. ------ 77776/6579789. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77777/6580395. ------ 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)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77778/6580401. ------ 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. ------ 77779/6580455. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77780/6580674. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 77781/6580725. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ eta ]==> ((^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. ------ 77782/6580995. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^y.y)(^z.z))((^y.y)(^z.z)))) 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. ------ 77783/6580998. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 77784/6581007. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) b))) 5. ==[ beta ]==> ((^y.((^z.z) b))(^y.((^z.z) b))) 6. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) b))) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 77785/6581220. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 77786/6581322. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 77787/6581346. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77788/6582111. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 77789/6582213. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 77790/6582291. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))((^z.z) a)) b) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 77791/6582474. ------ 1. ==[ start ]==> (((a b) a)(^c.(^d.a))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 77792/6583257. ------ 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. ------ 77793/6583509. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 77794/6583734. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.((^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. ------ 77795/6584184. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 9. ==[ beta ]==> (^y.(^z.(a a))) 10. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 77796/6584865. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 77797/6584967. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.b))) REDUCED to normal form. ------ 77798/6585579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^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. ------ 77799/6585732. ------ 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. ------ 77800/6585756. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77801/6585858. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^b.(^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. ------ 77802/6585966. ------ 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)))) REDUCED to normal form. ------ 77803/6586071. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77804/6586074. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 77805/6586083. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 77806/6586245. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 77807/6586353. ------ 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) z1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^x2.x2)) 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. ------ 77808/6586407. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a (^z.z)))) 5. ==[ beta ]==> (b (^y.(a (^z.z)))) 6. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 77809/6586416. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.c)) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 77810/6586524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.b)) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77811/6586569. ------ 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))) REDUCED to normal form. ------ 77812/6586578. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 77813/6586605. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 77814/6586677. ------ 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))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77815/6586689. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 77816/6586707. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(^y.a))) 3. ==[ beta ]==> (a ((b a)(^y.a))) 4. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 77817/6586734. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 77818/6586743. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 77819/6586761. ------ 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)))) 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. ------ 77820/6586788. ------ 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. ------ 77821/6586797. ------ 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. ------ 77822/6586815. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 77823/6586842. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^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. ------ 77824/6586923. ------ 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))))) REDUCED to normal form. ------ 77825/6586959. ------ 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. ------ 77826/6586977. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 77827/6586986. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(^a.a))) 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. ------ 77828/6587013. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 77829/6587256. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 77830/6587283. ------ 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. ------ 77831/6587292. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.(y y))(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a ((^y.y) b))(a ((^y.y) b))) 6. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) b))) 7. ==[ beta ]==> ((a b)(a ((^y.y) b))) 8. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 77832/6587319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 77833/6587373. ------ 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)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^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)(^x.x)) a) REDUCED to normal form. ------ 77834/6587400. ------ 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)))) 5. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 77835/6587427. ------ 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)((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. ------ 77836/6587481. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 77837/6587508. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 77838/6587580. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 77839/6587607. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 77840/6587634. ------ 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 (^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. ------ 77841/6587733. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 77842/6587787. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 77843/6587814. ------ 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.(a a)))) REDUCED to normal form. ------ 77844/6587841. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^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. ------ 77845/6587895. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 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. ------ 77846/6587931. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 77847/6588012. ------ 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 z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 77848/6588039. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^b.(^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. ------ 77849/6588156. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((a a)(^z.z)))) 5. ==[ beta ]==> (a (c ((a a)(^z.z)))) 6. ==[ alpha ]==> (a (c ((a a)(^x.x)))) REDUCED to normal form. ------ 77850/6588219. ------ 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. ------ 77851/6588237. ------ 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. ------ 77852/6588264. ------ 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))(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. ------ 77853/6588273. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 77854/6588318. ------ 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)((^y.y) a))((a b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a (a a)))) 7. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 77855/6588399. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(a b))) REDUCED to normal form. ------ 77856/6588498. ------ 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. ------ 77857/6588570. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 77858/6588579. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 77859/6588732. ------ 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. ------ 77860/6588786. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((b a) a)) REDUCED to normal form. ------ 77861/6588840. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 77862/6588984. ------ 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. ------ 77863/6589182. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77864/6589209. ------ 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. ------ 77865/6589263. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^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. ------ 77866/6589353. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 77867/6589380. ------ 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. ------ 77868/6589407. ------ 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. ------ 77869/6589434. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 77870/6589488. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 77871/6589515. ------ 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 (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> (((a (^y.y))(^z.(a a)))((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 77872/6589542. ------ 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. ------ 77873/6589569. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 77874/6589596. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^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. ------ 77875/6589632. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 77876/6589659. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 77877/6589686. ------ 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. ------ 77878/6589740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 77879/6589767. ------ 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. ------ 77880/6589794. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 77881/6589884. ------ 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. ------ 77882/6590019. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((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. ------ 77883/6590055. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(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. ------ 77884/6590082. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 77885/6590136. ------ 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 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z z))) REDUCED to normal form. ------ 77886/6590163. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^b.(^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. ------ 77887/6590217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77888/6590244. ------ 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. ------ 77889/6590271. ------ 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. ------ 77890/6590298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 77891/6590361. ------ 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. ------ 77892/6590388. ------ 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 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. ------ 77893/6590415. ------ 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. ------ 77894/6590442. ------ 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. ------ 77895/6590469. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 9. ==[ beta ]==> ((^y.y)(^z.(a a))) 10. ==[ alpha ]==> ((^x.x)(^y.(a a))) 11. ==[ beta ]==> (^y.(a a)) 12. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 77896/6590838. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 77897/6590946. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z) c)) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) c)) 7. ==[ beta ]==> ((a (^x.(a a))) c) REDUCED to normal form. ------ 77898/6591045. ------ 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. ------ 77899/6591081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b) a)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 77900/6591153. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 77901/6591225. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^c.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. ------ 77902/6591252. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.b))) REDUCED to normal form. ------ 77903/6591306. ------ 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. ------ 77904/6591333. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a (a a)))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x) a))) 7. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 77905/6591360. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 77906/6591387. ------ 1. ==[ start ]==> ((((a 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)(^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. ------ 77907/6591432. ------ 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. ------ 77908/6591531. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (a (a a)))) 5. ==[ beta ]==> ((a a)(c (a (a a)))) REDUCED to normal form. ------ 77909/6591612. ------ 1. ==[ start ]==> (((^a.b)(^b.(^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. ------ 77910/6591720. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77911/6591756. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 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. ------ 77912/6591837. ------ 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 z)))) REDUCED to normal form. ------ 77913/6591864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^b.(^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. ------ 77914/6591918. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 77915/6592017. ------ 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. ------ 77916/6592026. ------ 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))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 77917/6592044. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 77918/6592089. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.a))) REDUCED to normal form. ------ 77919/6592116. ------ 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. ------ 77920/6592143. ------ 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)))) 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. ------ 77921/6592170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a b)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 77922/6592197. ------ 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) REDUCED to normal form. ------ 77923/6592224. ------ 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.y1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 77924/6592251. ------ 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)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 77925/6592278. ------ 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 z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^z.z))) 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. ------ 77926/6592323. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77927/6592332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.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. ------ 77928/6592359. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 77929/6592368. ------ 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. ------ 77930/6592395. ------ 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)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) 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. ------ 77931/6592530. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 77932/6592638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77933/6592647. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 77934/6592674. ------ 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)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 77935/6592692. ------ 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. ------ 77936/6592701. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 77937/6592728. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 77938/6592809. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a) b)) 5. ==[ beta ]==> ((^y.(a a))((a a) b)) 6. ==[ alpha ]==> ((^x.(a a))((a a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 77939/6592836. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^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. ------ 77940/6592854. ------ 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. ------ 77941/6592863. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 77942/6592890. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a 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))) REDUCED to normal form. ------ 77943/6592917. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 77944/6592962. ------ 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))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77945/6592970. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 77946/6592971. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 77947/6598644. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.d)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.d)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 77948/6599250. ------ 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)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77949/6599259. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 77950/6599265. ------ 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. ------ 77951/6599274. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77952/6599292. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.a))) 3. ==[ beta ]==> (((b a)(^y.a))((b a)(^y.a))) 4. ==[ alpha ]==> (((b a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 77953/6599319. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 77954/6599355. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77955/6599400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^z.b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 77956/6599517. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^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 ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 77957/6599589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1))) b)) 3. ==[ eta ]==> ((^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. ------ 77958/6599760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 77959/6599871. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(^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. ------ 77960/6600177. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(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. ------ 77961/6600210. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77962/6600798. ------ 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. ------ 77963/6601155. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.a)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a)) b) 5. ==[ beta ]==> (((a a)(^y.a)) b) 6. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 77964/6601356. ------ 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. ------ 77965/6601542. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.b))((^z.(z z))(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.b))((^x1.(x1 x1))(^y1.b)))) 5. ==[ beta ]==> (^x.(((^z.b)(^z.b))((^x1.(x1 x1))(^y1.b)))) 6. ==[ alpha ]==> (^x.(((^y.b)(^z.b))((^x1.(x1 x1))(^y1.b)))) 7. ==[ beta ]==> (^x.(b ((^x1.(x1 x1))(^y1.b)))) 8. ==[ alpha ]==> (^x.(b ((^y.(y y))(^z.b)))) 9. ==[ beta ]==> (^x.(b ((^z.b)(^z.b)))) 10. ==[ alpha ]==> (^x.(b ((^y.b)(^z.b)))) 11. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 77966/6602139. ------ 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)))) REDUCED to normal form. ------ 77967/6602364. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((^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. ------ 77968/6602424. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((^z.(a a)) b)((^z.(a a)) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a)) b)((^y.(a a)) b))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a)) b))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a)) b))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 77969/6602607. ------ 1. ==[ start ]==> (((a b) c)(^c.((^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. ------ 77970/6602841. ------ 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 (^x.(a a))) REDUCED to normal form. ------ 77971/6603273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (b (^z.(^x1.(z z)))) 6. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 77972/6603462. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)(b a)) a) 4. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 77973/6603660. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z b))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z b))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 77974/6604017. ------ 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. ------ 77975/6604596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^b.(^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. ------ 77976/6604605. ------ 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))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 77977/6604938. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.d)) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.d)) 3. ==[ beta ]==> ((a b)(^y.d)) 4. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 77978/6604947. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 77979/6605217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77980/6605226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 77981/6605280. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 77982/6605298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 77983/6605352. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 77984/6605415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 77985/6605442. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 77986/6605496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 77987/6605541. ------ 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))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 77988/6605550. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 77989/6605562. ------ 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. ------ 77990/6605571. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 77991/6605589. ------ 1. ==[ start ]==> ((a (a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.a))) REDUCED to normal form. ------ 77992/6605616. ------ 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. ------ 77993/6605652. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 77994/6605670. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 77995/6605697. ------ 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. ------ 77996/6605733. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 77997/6605760. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 77998/6605787. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 77999/6605814. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 78000/6605832. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 78001/6605859. ------ 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 (^x.x))(a a))(b a)) REDUCED to normal form. ------ 78002/6605886. ------ 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 a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 78003/6605895. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 78004/6605976. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 78005/6606003. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 78006/6606057. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 78007/6606147. ------ 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. ------ 78008/6606165. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 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. ------ 78009/6606228. ------ 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. ------ 78010/6606255. ------ 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. ------ 78011/6606282. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 78012/6606309. ------ 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. ------ 78013/6606336. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^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. ------ 78014/6606363. ------ 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. ------ 78015/6606471. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(a (^a.(^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. ------ 78016/6606507. ------ 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))) 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. ------ 78017/6606516. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 78018/6606597. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(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. ------ 78019/6606678. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^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. ------ 78020/6606732. ------ 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) REDUCED to normal form. ------ 78021/6606804. ------ 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)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 78022/6606831. ------ 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. ------ 78023/6606975. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 78024/6607029. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^c.(^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. ------ 78025/6607065. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (b a))) 3. ==[ beta ]==> (((^y.y) b)(b (b a))) 4. ==[ alpha ]==> (((^x.x) b)(b (b a))) 5. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 78026/6607092. ------ 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. ------ 78027/6607146. ------ 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))(a (^y1.y1)))) REDUCED to normal form. ------ 78028/6607173. ------ 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.x1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 78029/6607200. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 78030/6607227. ------ 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. ------ 78031/6607254. ------ 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. ------ 78032/6607398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 78033/6607425. ------ 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. ------ 78034/6607452. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(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. ------ 78035/6607461. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78036/6607542. ------ 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. ------ 78037/6607623. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 78038/6607650. ------ 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. ------ 78039/6607731. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 78040/6607812. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(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. ------ 78041/6607839. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 78042/6607992. ------ 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. ------ 78043/6608010. ------ 1. ==[ start ]==> (((^a.b) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 78044/6608136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(c (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 7. ==[ beta ]==> (c (^y.(a a))) 8. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 78045/6608217. ------ 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 (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 78046/6608271. ------ 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. ------ 78047/6608298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.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. ------ 78048/6608352. ------ 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. ------ 78049/6608433. ------ 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. ------ 78050/6608505. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) c)) 3. ==[ beta ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 78051/6608658. ------ 1. ==[ start ]==> (((^a.b) c)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 78052/6608721. ------ 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. ------ 78053/6608892. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 78054/6608901. ------ 1. ==[ start ]==> (((a b) c)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 78055/6608973. ------ 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. ------ 78056/6609054. ------ 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. ------ 78057/6609135. ------ 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. ------ 78058/6609369. ------ 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. ------ 78059/6609396. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b) b)) 3. ==[ beta ]==> (((a b) a)((^y.b) b)) 4. ==[ alpha ]==> (((a b) a)((^x.b) b)) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 78060/6609567. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(a a)))) 5. ==[ beta ]==> (b (a (^z.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 78061/6609648. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^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. ------ 78062/6609756. ------ 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. ------ 78063/6609783. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^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. ------ 78064/6609837. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^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. ------ 78065/6609900. ------ 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. ------ 78066/6609918. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^c.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. ------ 78067/6609927. ------ 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. ------ 78068/6609954. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.a))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a b))) REDUCED to normal form. ------ 78069/6609981. ------ 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. ------ 78070/6610152. ------ 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. ------ 78071/6610179. ------ 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. ------ 78072/6610206. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 78073/6610233. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 78074/6610260. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78075/6610314. ------ 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. ------ 78076/6610404. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 78077/6610593. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^b.(^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. ------ 78078/6610602. ------ 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. ------ 78079/6610647. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^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. ------ 78080/6610701. ------ 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.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 78081/6610710. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c d)) REDUCED to normal form. ------ 78082/6610782. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^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. ------ 78083/6610845. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(c a)) REDUCED to normal form. ------ 78084/6610890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^b.(^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. ------ 78085/6610899. ------ 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)))) 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. ------ 78086/6610935. ------ 1. ==[ start ]==> (((a a)(a (^a.(^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. ------ 78087/6610962. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 78088/6611043. ------ 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. ------ 78089/6611070. ------ 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.(^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. ------ 78090/6611097. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 78091/6611124. ------ 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. ------ 78092/6611151. ------ 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. ------ 78093/6611196. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78094/6611241. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 78095/6611403. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^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. ------ 78096/6611511. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78097/6611520. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 78098/6611547. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) 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))) REDUCED to normal form. ------ 78099/6611565. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^a.(^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. ------ 78100/6611574. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 78101/6611592. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> ((^y.y)(a (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 78102/6611646. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 78103/6611682. ------ 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 a) REDUCED to normal form. ------ 78104/6611709. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 78105/6611727. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 78106/6611736. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 78107/6611763. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)) REDUCED to normal form. ------ 78108/6611790. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 78109/6611835. ------ 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))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78110/6611844. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 78111/6618141. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 78112/6618165. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78113/6618246. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 78114/6618408. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((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))))) REDUCED to normal form. ------ 78115/6618447. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((^a.a) b))) 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)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78116/6618750. ------ 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. ------ 78117/6619689. ------ 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. ------ 78118/6620247. ------ 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. ------ 78119/6620256. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(y a))) REDUCED to normal form. ------ 78120/6620535. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(b x))) 3. ==[ eta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 78121/6620640. ------ 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. ------ 78122/6621030. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^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. ------ 78123/6621039. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 78124/6621291. ------ 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. ------ 78125/6621315. ------ 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. ------ 78126/6621498. ------ 1. ==[ start ]==> (((a b) c)(^d.(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(a a)))) REDUCED to normal form. ------ 78127/6621525. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^c.(^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. ------ 78128/6621732. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^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. ------ 78129/6621741. ------ 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))(^y.(a a))) REDUCED to normal form. ------ 78130/6621966. ------ 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. ------ 78131/6622071. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(a (a a)))) 3. ==[ eta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 78132/6622353. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^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. ------ 78133/6622551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^a.b))) 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. ------ 78134/6622620. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 78135/6622722. ------ 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. ------ 78136/6622902. ------ 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. ------ 78137/6623496. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 78138/6623511. ------ 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. ------ 78139/6623826. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78140/6623838. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 78141/6624117. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.a))) REDUCED to normal form. ------ 78142/6624189. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> ((^y.y)(^y1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 78143/6624198. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) REDUCED to normal form. ------ 78144/6624306. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 78145/6624333. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 78146/6624360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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)))) REDUCED to normal form. ------ 78147/6624387. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 78148/6624432. ------ 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))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 78149/6624441. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 78150/6624471. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 78151/6624480. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 78152/6624498. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 78153/6624525. ------ 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 z)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 78154/6624552. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a 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. ------ 78155/6624561. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 78156/6624588. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 78157/6624606. ------ 1. ==[ start ]==> (((^a.a)(^a.(^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. ------ 78158/6624615. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 78159/6624633. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(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. ------ 78160/6624642. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 78161/6624669. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 78162/6624696. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 78163/6624714. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 78164/6624750. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 78165/6624795. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 78166/6624822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 78167/6624885. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 78168/6624912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^c.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. ------ 78169/6625047. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(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. ------ 78170/6625056. ------ 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. ------ 78171/6625092. ------ 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) 7. ==[ beta ]==> a REDUCED to normal form. ------ 78172/6625299. ------ 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. ------ 78173/6625326. ------ 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. ------ 78174/6625353. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 78175/6625371. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 78176/6625380. ------ 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. ------ 78177/6625416. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 78178/6625443. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 78179/6625497. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 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. ------ 78180/6625506. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 78181/6625533. ------ 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. ------ 78182/6625560. ------ 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. ------ 78183/6625578. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 78184/6625587. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(a 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. ------ 78185/6625614. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.a))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 78186/6625641. ------ 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) REDUCED to normal form. ------ 78187/6625668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(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. ------ 78188/6625992. ------ 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. ------ 78189/6626010. ------ 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. ------ 78190/6626190. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 78191/6626217. ------ 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)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 78192/6626244. ------ 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))((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. ------ 78193/6626271. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)(b a))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(b a))) REDUCED to normal form. ------ 78194/6626343. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 78195/6626361. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 78196/6626505. ------ 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. ------ 78197/6626523. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^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. ------ 78198/6626532. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 78199/6626559. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 78200/6626577. ------ 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. ------ 78201/6626613. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^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. ------ 78202/6626640. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 78203/6626667. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 78204/6626721. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 78205/6626811. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 78206/6626838. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (b a))) REDUCED to normal form. ------ 78207/6626865. ------ 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))) REDUCED to normal form. ------ 78208/6626892. ------ 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. ------ 78209/6626919. ------ 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. ------ 78210/6626946. ------ 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. ------ 78211/6627117. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 78212/6627126. ------ 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)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 78213/6627153. ------ 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. ------ 78214/6627171. ------ 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. ------ 78215/6627180. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 78216/6627198. ------ 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. ------ 78217/6627207. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.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. ------ 78218/6627261. ------ 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. ------ 78219/6627288. ------ 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 ((^y.a)(a b))) 10. ==[ alpha ]==> (a ((^x.a)(a b))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 78220/6627315. ------ 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. ------ 78221/6627333. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 78222/6627342. ------ 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. ------ 78223/6627558. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 78224/6627567. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 78225/6627594. ------ 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. ------ 78226/6627621. ------ 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. ------ 78227/6627657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^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. ------ 78228/6627801. ------ 1. ==[ start ]==> (((a b) c)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(a a)))) REDUCED to normal form. ------ 78229/6627828. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^c.(^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. ------ 78230/6627855. ------ 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 a)) REDUCED to normal form. ------ 78231/6627873. ------ 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. ------ 78232/6627900. ------ 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. ------ 78233/6627909. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 78234/6627936. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^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